Journal de Physique

Structure of two-dimensional sandpile. I. Height probabilities

V. B. Priezzhev
Journal of Statistical Physics 74 (5-6) 955 (1994)
DOI: 10.1007/BF02188212
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Robin Hood as self-organized criticality

S.I. Zaitsev
Physica A: Statistical Mechanics and its Applications 189 (3-4) 411 (1992)
DOI: 10.1016/0378-4371(92)90053-S
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Abelian avalanches and Tutte polynomials

Andrei Gabrielov
Physica A: Statistical Mechanics and its Applications 195 (1-2) 253 (1993)
DOI: 10.1016/0378-4371(93)90267-8
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Exponents for self-organized critically under lattice cyclicity

J.A.M.S. Duarte and N.J.A.P. Gonçalves
Physica A: Statistical Mechanics and its Applications 168 (3) 901 (1990)
DOI: 10.1016/0378-4371(90)90261-P
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Scale Invariance, Interfaces, and Non-Equilibrium Dynamics

G. Grinstein
NATO ASI Series, Scale Invariance, Interfaces, and Non-Equilibrium Dynamics 344 261 (1995)
DOI: 10.1007/978-1-4899-1421-7_11
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Exact Solution of the One-Dimensional Deterministic Fixed-Energy Sandpile

Luca Dall’Asta
Physical Review Letters 96 (5) 058003 (2006)
DOI: 10.1103/PhysRevLett.96.058003
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Renormalization group and instantons in stochastic nonlinear dynamics

D. Volchenkov
The European Physical Journal Special Topics 170 (1) 1 (2009)
DOI: 10.1140/epjst/e2009-01001-3
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Fractals and Disordered Systems

Dietrich Stauffer
Fractals and Disordered Systems 339 (1996)
DOI: 10.1007/978-3-642-84868-1_9
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Global fire size distribution is driven by human impact and climate

Stijn Hantson, Salvador Pueyo and Emilio Chuvieco
Global Ecology and Biogeography 24 (1) 77 (2015)
DOI: 10.1111/geb.12246
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Sandpile models with and without an underlying spatial structure

Kim Christensen and Zeev Olami
Physical Review E 48 (5) 3361 (1993)
DOI: 10.1103/PhysRevE.48.3361
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Renormalization approach to the self-organized critical behavior of sandpile models

Alessandro Vespignani, Stefano Zapperi and Luciano Pietronero
Physical Review E 51 (3) 1711 (1995)
DOI: 10.1103/PhysRevE.51.1711
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Efficient large-scale simulations of a uniformly driven system

Peter Grassberger
Physical Review E 49 (3) 2436 (1994)
DOI: 10.1103/PhysRevE.49.2436
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Bak-Tang-Wiesenfeld model in the upper critical dimension: Induced criticality in lower-dimensional subsystems

H. Dashti-Naserabadi and M. N. Najafi
Physical Review E 96 (4) (2017)
DOI: 10.1103/PhysRevE.96.042115
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Inverse avalanches in the Abelian sandpile model

Deepak Dhar and S. S. Manna
Physical Review E 49 (4) 2684 (1994)
DOI: 10.1103/PhysRevE.49.2684
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Precursors of catastrophe in the Bak-Tang-Wiesenfeld, Manna, and random-fiber-bundle models of failure

Srutarshi Pradhan and Bikas K. Chakrabarti
Physical Review E 65 (1) (2001)
DOI: 10.1103/PhysRevE.65.016113
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Dynamical properties and predictability of a class of self-organized critical models

E. Caglioti and V. Loreto
Physical Review E 53 (3) 2953 (1996)
DOI: 10.1103/PhysRevE.53.2953
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Universality in sandpile models

Asa Ben-Hur and Ofer Biham
Physical Review E 53 (2) R1317 (1996)
DOI: 10.1103/PhysRevE.53.R1317
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Sandpile model on the Sierpinski gasket fractal

Brigita Kutnjak-Urbanc, Stefano Zapperi, Sava Milošević and H. Eugene Stanley
Physical Review E 54 (1) 272 (1996)
DOI: 10.1103/PhysRevE.54.272
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Self-organized branching processes: Avalanche models with dissipation

Kent Bækgaard Lauritsen, Stefano Zapperi and H. Eugene Stanley
Physical Review E 54 (3) 2483 (1996)
DOI: 10.1103/PhysRevE.54.2483
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Avalanches and waves in the Abelian sandpile model

Maya Paczuski and Stefan Boettcher
Physical Review E 56 (4) R3745 (1997)
DOI: 10.1103/PhysRevE.56.R3745
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Sandpile model with activity inhibition

S. S. Manna and D. Giri
Physical Review E 56 (5) R4914 (1997)
DOI: 10.1103/PhysRevE.56.R4914
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Reail Space Renormalization Group for Self Organized Criticality in Sandpile Models

S. Zapperi, A. Vespignanit and L. Pietronero
MRS Proceedings 367 (1994)
DOI: 10.1557/PROC-367-67
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Toppling and height probabilities in sandpiles

Antal A Járai and Minwei Sun
Journal of Statistical Mechanics: Theory and Experiment 2019 (11) 113204 (2019)
DOI: 10.1088/1742-5468/ab2ccb
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SCALING PROPERTIES OF STRONG AVALANCHES IN SAND-PILE

A. B. SHAPOVAL and M. G. SHNIRMAN
International Journal of Modern Physics C 16 (02) 341 (2005)
DOI: 10.1142/S0129183105007145
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Size effects of slope dynamics in a 2-dimensional sandpile

H.J. Ruskin and A.L. McCarren
Physica A: Statistical Mechanics and its Applications 207 (4) 477 (1994)
DOI: 10.1016/0378-4371(94)90204-6
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Waves of topplings in an Abelian sandpile

E.V. Ivashkevich, D.V. Ktitarev and V.B. Priezzhev
Physica A: Statistical Mechanics and its Applications 209 (3-4) 347 (1994)
DOI: 10.1016/0378-4371(94)90188-0
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Directed fixed energy sandpile model

R. Karmakar and S. S. Manna
Physical Review E 69 (6) 067107 (2004)
DOI: 10.1103/PhysRevE.69.067107
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Self-organized random walks and stochastic sandpile: from linear to branched avalanches

S.S Manna and A.L Stella
Physica A: Statistical Mechanics and its Applications 316 (1-4) 135 (2002)
DOI: 10.1016/S0378-4371(02)01497-8
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Self-organized criticality within fractional Lorenz scheme

Alexander I. Olemskoi, Alexei V. Khomenko and Dmitrii O. Kharchenko
Physica A: Statistical Mechanics and its Applications 323 263 (2003)
DOI: 10.1016/S0378-4371(02)01991-X
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Crossover from rotational to stochastic sandpile universality in the random rotational sandpile model

Himangsu Bhaumik, Jahir Abbas Ahmed and S. B. Santra
Physical Review E 90 (6) (2014)
DOI: 10.1103/PhysRevE.90.062136
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Exact integration of height probabilities in the Abelian Sandpile model

Sergio Caracciolo and Andrea Sportiello
Journal of Statistical Mechanics: Theory and Experiment 2012 (09) P09013 (2012)
DOI: 10.1088/1742-5468/2012/09/P09013
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Characteristics of deterministic and stochastic sandpile models in a rotational sandpile model

S. B. Santra, S. Ranjita Chanu and Debabrata Deb
Physical Review E 75 (4) 041122 (2007)
DOI: 10.1103/PhysRevE.75.041122
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Response of random dielectric composites and earthquake models to pulses: prediction possibilities

Muktish Acharyya and Bikas K. Chakrabarti
Physica A: Statistical Mechanics and its Applications 224 (1-2) 254 (1996)
DOI: 10.1016/0378-4371(95)00362-2
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Onsets of avalanches in the BTW model

Ajanta Bhowal
Physica A: Statistical Mechanics and its Applications 253 (1-4) 301 (1998)
DOI: 10.1016/S0378-4371(97)00681-X
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Critical exponents of the sand pile models in two dimensions

S.S. Manna
Physica A: Statistical Mechanics and its Applications 179 (2) 249 (1991)
DOI: 10.1016/0378-4371(91)90063-I
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Height probabilities in the Abelian sandpile model on the generalized finite Bethe lattice

Haiyan Chen and Fuji Zhang
Journal of Mathematical Physics 54 (8) 083503 (2013)
DOI: 10.1063/1.4817089
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Prediction efficiency in an avalanche model for different target events

A. B. Shapoval and M. G. Shnirman
Izvestiya, Physics of the Solid Earth 44 (6) 495 (2008)
DOI: 10.1134/S1069351308060050
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Oslo model, hyperuniformity, and the quenched Edwards-Wilkinson model

Peter Grassberger, Deepak Dhar and P. K. Mohanty
Physical Review E 94 (4) (2016)
DOI: 10.1103/PhysRevE.94.042314
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Crossover phenomenon in self-organized critical sandpile models

S. Lübeck
Physical Review E 62 (5) 6149 (2000)
DOI: 10.1103/PhysRevE.62.6149
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Boundary-induced anisotropy of the avalanches in the sandpile automaton

Gongwen Peng and Hans J. Herrmann
Physica A: Statistical Mechanics and its Applications 199 (3-4) 476 (1993)
DOI: 10.1016/0378-4371(93)90062-9
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Mean-field theory of avalanches in self-organized critical states

Makoto Katori and Hirotsugu Kobayashi
Physica A: Statistical Mechanics and its Applications 229 (3-4) 461 (1996)
DOI: 10.1016/0378-4371(96)00003-9
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Dissipative sandpile models with universal exponents

Ofer Malcai, Yehiel Shilo and Ofer Biham
Physical Review E 73 (5) 056125 (2006)
DOI: 10.1103/PhysRevE.73.056125
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Statistical Mechanics of Driven Diffusive System

B. Schmittmann and R.K.P. Zia
Phase Transitions and Critical Phenomena, Statistical Mechanics of Driven Diffusive System 17 3 (1995)
DOI: 10.1016/S1062-7901(06)80014-5
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Exclusive Diffusion Model Showing Self-Organized Criticality

Hirotsugu Kobayashi and Makoto Katori
Journal of the Physical Society of Japan 65 (8) 2536 (1996)
DOI: 10.1143/JPSJ.65.2536
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Correlations and scaling in the outflow statistics of a sandpile automaton

S.S. Manna and János Kertész
Physica A: Statistical Mechanics and its Applications 173 (1-2) 49 (1991)
DOI: 10.1016/0378-4371(91)90250-G
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Pattern formation outside of equilibrium

M. C. Cross and P. C. Hohenberg
Reviews of Modern Physics 65 (3) 851 (1993)
DOI: 10.1103/RevModPhys.65.851
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Sandpile model on a quenched substrate generated by kinetic self-avoiding trails

R. Karmakar and S. S. Manna
Physical Review E 71 (1) 015101 (2005)
DOI: 10.1103/PhysRevE.71.015101
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The Abelian sandpile model on the honeycomb lattice

N Azimi-Tafreshi, H Dashti-Naserabadi, S Moghimi-Araghi and P Ruelle
Journal of Statistical Mechanics: Theory and Experiment 2010 (02) P02004 (2010)
DOI: 10.1088/1742-5468/2010/02/P02004
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Driving Sandpiles to Criticality and Beyond

Anne Fey, Lionel Levine and David B. Wilson
Physical Review Letters 104 (14) 145703 (2010)
DOI: 10.1103/PhysRevLett.104.145703
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Avalanche dynamics from anomalous diffusion

Péter Bántay and Imre M. Jánosi
Physical Review Letters 68 (13) 2058 (1992)
DOI: 10.1103/PhysRevLett.68.2058
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Self-organized critical forest-fire model: Mean-field theory and simulation results in 1 to 6 dimenisons

Kim Christensen, Henrik Flyvbjerg and Zeev Olami
Physical Review Letters 71 (17) 2737 (1993)
DOI: 10.1103/PhysRevLett.71.2737
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Renormalization scheme for self-organized criticality in sandpile models

L. Pietronero, A. Vespignani and S. Zapperi
Physical Review Letters 72 (11) 1690 (1994)
DOI: 10.1103/PhysRevLett.72.1690
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Formation of Avalanches and Critical Exponents in an Abelian Sandpile Model

V. B. Priezzhev, D. V. Ktitarev and E. V. Ivashkevich
Physical Review Letters 76 (12) 2093 (1996)
DOI: 10.1103/PhysRevLett.76.2093
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Transitions in Nonconserving Models of Self-Organized Criticality

Stefano Lise and Henrik Jeldtoft Jensen
Physical Review Letters 76 (13) 2326 (1996)
DOI: 10.1103/PhysRevLett.76.2326
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Self-Organized Branching Processes: Mean-Field Theory for Avalanches

Stefano Zapperi, Kent Bækgaard Lauritsen and H. Eugene Stanley
Physical Review Letters 75 (22) 4071 (1995)
DOI: 10.1103/PhysRevLett.75.4071
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Scaling of waves in the Bak-Tang-Wiesenfeld sandpile model

D. V. Ktitarev, S. Lübeck, P. Grassberger and V. B. Priezzhev
Physical Review E 61 (1) 81 (2000)
DOI: 10.1103/PhysRevE.61.81
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Moment analysis of the probability distribution of different sandpile models

S. Lübeck
Physical Review E 61 (1) 204 (2000)
DOI: 10.1103/PhysRevE.61.204
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Avalanches, hydrodynamics, and discharge events in models of sandpiles

Terence Hwa and Mehran Kardar
Physical Review A 45 (10) 7002 (1992)
DOI: 10.1103/PhysRevA.45.7002
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Scaling behavior of the Abelian sandpile model

Barbara Drossel
Physical Review E 61 (3) R2168 (2000)
DOI: 10.1103/PhysRevE.61.R2168
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Inversion Symmetry and Exact Critical Exponents of Dissipating Waves in the Sandpile Model

Chin-Kun Hu, E. V. Ivashkevich, Chai-Yu Lin and V. B. Priezzhev
Physical Review Letters 85 (19) 4048 (2000)
DOI: 10.1103/PhysRevLett.85.4048
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Absorbing-state phase transitions in fixed-energy sandpiles

Alessandro Vespignani, Ronald Dickman, Miguel A. Muñoz and Stefano Zapperi
Physical Review E 62 (4) 4564 (2000)
DOI: 10.1103/PhysRevE.62.4564
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Expansion and contraction of avalanches in the two-dimensional Abelian sandpile

D. V. Ktitarev and V. B. Priezzhev
Physical Review E 58 (3) 2883 (1998)
DOI: 10.1103/PhysRevE.58.2883
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Evidence for universality within the classes of deterministic and stochastic sandpile models

Ofer Biham, Erel Milshtein and Ofer Malcai
Physical Review E 63 (6) 061309 (2001)
DOI: 10.1103/PhysRevE.63.061309
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Continuously varying critical exponents in a sandpile model with internal disorder

A. Benyoussef, A. El Kenz, M. Khfifi and M. Loulidi
Physical Review E 66 (4) 041302 (2002)
DOI: 10.1103/PhysRevE.66.041302
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How self-organized criticality works: A unified mean-field picture

Alessandro Vespignani and Stefano Zapperi
Physical Review E 57 (6) 6345 (1998)
DOI: 10.1103/PhysRevE.57.6345
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Universality classes in isotropic, Abelian, and non-Abelian sandpile models

Erel Milshtein, Ofer Biham and Sorin Solomon
Physical Review E 58 (1) 303 (1998)
DOI: 10.1103/PhysRevE.58.303
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Continuous behavior in a simple model of the adhesive failure of a layer

M. Ferer and Duane H. Smith
Physical Review E 57 (1) 866 (1998)
DOI: 10.1103/PhysRevE.57.866
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Self-organized criticality as an absorbing-state phase transition

Ronald Dickman, Alessandro Vespignani and Stefano Zapperi
Physical Review E 57 (5) 5095 (1998)
DOI: 10.1103/PhysRevE.57.5095
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Dynamics of Eulerian walkers

A. M. Povolotsky, V. B. Priezzhev and R. R. Shcherbakov
Physical Review E 58 (5) 5449 (1998)
DOI: 10.1103/PhysRevE.58.5449
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Dynamical real space renormalization group applied to sandpile models

Eugene V. Ivashkevich, Alexander M. Povolotsky, Alessandro Vespignani and Stefano Zapperi
Physical Review E 60 (2) 1239 (1999)
DOI: 10.1103/PhysRevE.60.1239
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Cracking piles of brittle grains

František Slanina
Physical Review E 60 (2) 1940 (1999)
DOI: 10.1103/PhysRevE.60.1940
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Critical states in a dissipative sandpile model

S. S. Manna, A. D. Chakrabarti and R. Cafiero
Physical Review E 60 (5) R5005 (1999)
DOI: 10.1103/PhysRevE.60.R5005
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Universality and self-similarity of an energy-constrained sandpile model with random neighbors

Shu-dong Zhang
Physical Review E 60 (1) 259 (1999)
DOI: 10.1103/PhysRevE.60.259
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Energy Constrained Sandpile Models

Alessandro Chessa, Enzo Marinari and Alessandro Vespignani
Physical Review Letters 80 (19) 4217 (1998)
DOI: 10.1103/PhysRevLett.80.4217
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Lyapunov exponents and transport in the Zhang model of self-organized criticality

B. Cessac, Ph. Blanchard and T. Krüger
Physical Review E 64 (1) 016133 (2001)
DOI: 10.1103/PhysRevE.64.016133
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Fluctuations and Correlations in Sandpile Models

Alain Barrat, Alessandro Vespignani and Stefano Zapperi
Physical Review Letters 83 (10) 1962 (1999)
DOI: 10.1103/PhysRevLett.83.1962
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Multifractal Scaling in the Bak-Tang-Wiesenfeld Sandpile and Edge Events

Claudio Tebaldi, Mario De Menech and Attilio L. Stella
Physical Review Letters 83 (19) 3952 (1999)
DOI: 10.1103/PhysRevLett.83.3952
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Avalanche Merging and Continuous Flow in a Sandpile Model

Álvaro Corral and Maya Paczuski
Physical Review Letters 83 (3) 572 (1999)
DOI: 10.1103/PhysRevLett.83.572
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A dissipative deterministic BTW model with an activation scenario of strong events

A. B. Shapoval and M. G. Shnirman
Izvestiya, Physics of the Solid Earth 45 (5) 414 (2009)
DOI: 10.1134/S106935130905005X
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Mechanisms of avalanche dynamics and forms of scaling in sandpiles

Attilio L Stella and Mario De Menech
Physica A: Statistical Mechanics and its Applications 295 (1-2) 101 (2001)
DOI: 10.1016/S0378-4371(01)00060-7
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Self-organized critically in vector-state automata

Gongwen Peng
Physica A: Statistical Mechanics and its Applications 201 (4) 573 (1993)
DOI: 10.1016/0378-4371(93)90129-R
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Comment on “Driving Sandpiles to Criticality and Beyond”

Hang-Hyun Jo and Hyeong-Chai Jeong
Physical Review Letters 105 (1) 019601 (2010)
DOI: 10.1103/PhysRevLett.105.019601
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Confirming and extending the hypothesis of universality in sandpiles

Juan A. Bonachela and Miguel A. Muñoz
Physical Review E 78 (4) 041102 (2008)
DOI: 10.1103/PhysRevE.78.041102
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Percolation mechanism drives actin gels to the critically connected state

Chiu Fan Lee and Gunnar Pruessner
Physical Review E 93 (5) (2016)
DOI: 10.1103/PhysRevE.93.052414
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Multiple invasion percolation

Roberto N. Onody and Reginaldo A. Zara
Physica A: Statistical Mechanics and its Applications 231 (4) 375 (1996)
DOI: 10.1016/0378-4371(96)00108-2
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Self-organized critical scaling at surfaces

A. L. Stella, C. Tebaldi and G. Caldarelli
Physical Review E 52 (1) 72 (1995)
DOI: 10.1103/PhysRevE.52.72
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Sandpiles on multiplex networks

Kyu-Min Lee, K. -I. Goh and I. -M. Kim
Journal of the Korean Physical Society 60 (4) 641 (2012)
DOI: 10.3938/jkps.60.641
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25 Years of Self-organized Criticality: Concepts and Controversies

Nicholas W. Watkins, Gunnar Pruessner, Sandra C. Chapman, Norma B. Crosby and Henrik J. Jensen
Space Science Reviews 198 (1-4) 3 (2016)
DOI: 10.1007/s11214-015-0155-x
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SAND DENSITY AS SANDPILE DESCRIPTOR

A. B. SHAPOVAL and M. G. SHNIRMAN
International Journal of Modern Physics C 19 (06) 995 (2008)
DOI: 10.1142/S0129183108012637
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HOW SIZE OF TARGET AVALANCHES INFLUENCES PREDICTION EFFICIENCY

A. B. SHAPOVAL and M. G. SHNIRMAN
International Journal of Modern Physics C 17 (12) 1777 (2006)
DOI: 10.1142/S0129183106010212
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STRONG EVENTS IN THE SAND-PILE MODEL

A. B. SHAPOVAL and M. G. SHNIRMAN
International Journal of Modern Physics C 15 (02) 279 (2004)
DOI: 10.1142/S012918310400570X
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Logarithmic corrections of the avalanche distributions of sandpile models at the upper critical dimension

S. Lübeck
Physical Review E 58 (3) 2957 (1998)
DOI: 10.1103/PhysRevE.58.2957
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Critical properties of a dissipative sandpile model on small-world networks

Himangsu Bhaumik and S. B. Santra
Physical Review E 88 (6) (2013)
DOI: 10.1103/PhysRevE.88.062817
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Results on the continuous-energy self-organized critical model in one dimension

Zoltán Fodor and Imre M. Jánosi
Physical Review A 44 (2) 1386 (1991)
DOI: 10.1103/PhysRevA.44.1386
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Order Parameter and Scaling Fields in Self-Organized Criticality

Alessandro Vespignani and Stefano Zapperi
Physical Review Letters 78 (25) 4793 (1997)
DOI: 10.1103/PhysRevLett.78.4793
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Approach to criticality in sandpiles

Anne Fey, Lionel Levine and David B. Wilson
Physical Review E 82 (3) 031121 (2010)
DOI: 10.1103/PhysRevE.82.031121
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Precise Toppling Balance, Quenched Disorder, and Universality for Sandpiles

R. Karmakar, S. S. Manna and A. L. Stella
Physical Review Letters 94 (8) 088002 (2005)
DOI: 10.1103/PhysRevLett.94.088002
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From waves to avalanches: Two different mechanisms of sandpile dynamics

Mario De Menech and Attilio L. Stella
Physical Review E 62 (4) R4528 (2000)
DOI: 10.1103/PhysRevE.62.R4528
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Bak-Tang-Wiesenfeld sandpile model around the upper critical dimension

S. Lübeck and K. D. Usadel
Physical Review E 56 (5) 5138 (1997)
DOI: 10.1103/PhysRevE.56.5138
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The Ising model in a Bak–Tang–Wiesenfeld sandpile

Zbigniew Koza and Marcel Ausloos
Physica A: Statistical Mechanics and its Applications 375 (1) 199 (2007)
DOI: 10.1016/j.physa.2006.08.074
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Sticky grains do not change the universality class of isotropic sandpiles

Juan A. Bonachela, José J. Ramasco, Hugues Chaté, Ivan Dornic and Miguel A. Muñoz
Physical Review E 74 (5) 050102 (2006)
DOI: 10.1103/PhysRevE.74.050102
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Self-organized criticality and the lattice topology

Alberto Saa
Physica A: Statistical Mechanics and its Applications 227 (3-4) 262 (1996)
DOI: 10.1016/0378-4371(96)00010-6
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Universality classes in the random-storage sandpile model

Alexei Vázquez and Oscar Sotolongo-Costa
Physical Review E 61 (1) 944 (2000)
DOI: 10.1103/PhysRevE.61.944
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Usage leading to an abrupt collapse of connectivity

D. V. Stäger, N. A. M. Araújo and H. J. Herrmann
Physical Review E 90 (4) (2014)
DOI: 10.1103/PhysRevE.90.042148
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Sandpile models and random walkers on finite lattices

Yehiel Shilo and Ofer Biham
Physical Review E 67 (6) 066102 (2003)
DOI: 10.1103/PhysRevE.67.066102
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Self-organized criticality with disorder and frustration

E.N. Miranda and H.J. Herrmann
Physica A: Statistical Mechanics and its Applications 175 (3) 339 (1991)
DOI: 10.1016/0378-4371(91)90235-5
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Cluster, backbone, and elastic backbone structures of the multiple invasion percolation

Roberto N. Onody and Reginaldo A. Zara
Physical Review E 56 (3) 2548 (1997)
DOI: 10.1103/PhysRevE.56.2548
Voir cet article

Modified renormalization strategy for sandpile models

Y. Moreno, J. B. Gómez and A. F. Pacheco
Physical Review E 60 (6) 7565 (1999)
DOI: 10.1103/PhysRevE.60.7565
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Universality in sandpiles

Alessandro Chessa, H. Eugene Stanley, Alessandro Vespignani and Stefano Zapperi
Physical Review E 59 (1) R12 (1999)
DOI: 10.1103/PhysRevE.59.R12
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Mean-field behavior of the sandpile model below the upper critical dimension

Alessandro Chessa, Enzo Marinari, Alessandro Vespignani and Stefano Zapperi
Physical Review E 57 (6) R6241 (1998)
DOI: 10.1103/PhysRevE.57.R6241
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Self-organised criticality in some dissipative sandpile models

H.J. Ruskin and Y. Feng
Physica A: Statistical Mechanics and its Applications 245 (3-4) 453 (1997)
DOI: 10.1016/S0378-4371(97)00317-8
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Regularity and reversibility of cascading systems

Scott Pratt and Eric Eslinger
Physical Review E 56 (5) 5306 (1997)
DOI: 10.1103/PhysRevE.56.5306
Voir cet article

Recursive sampling of random walks: self-avoiding walks in disordered media

P Grassberger
Journal of Physics A: Mathematical and General 26 (5) 1023 (1993)
DOI: 10.1088/0305-4470/26/5/022
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Equivalence between the Abelian sandpile model and the q→0 limit of the Potts model

S.N. Majumdar and Deepak Dhar
Physica A: Statistical Mechanics and its Applications 185 (1-4) 129 (1992)
DOI: 10.1016/0378-4371(92)90447-X
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DOI: 10.1140/epjb/e2010-00198-x
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DOI: 10.1016/S0921-5093(00)01141-2
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DOI: 10.1088/1742-5468/2005/01/L01002
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DOI: 10.1140/epjb/e2007-00293-1
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DOI: 10.3389/fphy.2020.00333
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DOI: 10.1142/S012918319900022X
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DOI: 10.1142/S021797929800082X
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DOI: 10.1142/S0217979202010130
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DOI: 10.1142/S0129183105008412
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DOI: 10.1143/JPSJ.66.2367
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DOI: 10.1142/S0217979204027748
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The dynamics of sand

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DOI: 10.1088/0034-4885/57/4/002
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DOI: 10.1088/0034-4885/62/10/201
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DOI: 10.1088/0305-4470/28/23/030
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DOI: 10.1088/0305-4470/33/3/101
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DOI: 10.1088/0305-4470/24/7/008
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DOI: 10.1088/0305-4470/25/20/010
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DOI: 10.1088/0305-4470/26/9/007
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Cascades and self-organized criticality

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DOI: 10.1007/BF01027312
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DOI: 10.1007/BF01054439
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DOI: 10.1007/BF01313858
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DOI: 10.1007/978-3-642-51435-7_9
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DOI: 10.1016/j.physa.2020.124318
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DOI: 10.1209/0295-5075/30/6/001
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Structure of two-dimensional sandpile. I. Height probabilities

Robin Hood as self-organized criticality

Abelian avalanches and Tutte polynomials

Exponents for self-organized critically under lattice cyclicity

Scale Invariance, Interfaces, and Non-Equilibrium Dynamics

Exact Solution of the One-Dimensional Deterministic Fixed-Energy Sandpile

Renormalization group and instantons in stochastic nonlinear dynamics

Fractals and Disordered Systems

Global fire size distribution is driven by human impact and climate

Sandpile models with and without an underlying spatial structure

Renormalization approach to the self-organized critical behavior of sandpile models

Efficient large-scale simulations of a uniformly driven system

Bak-Tang-Wiesenfeld model in the upper critical dimension: Induced criticality in lower-dimensional subsystems

Inverse avalanches in the Abelian sandpile model

Precursors of catastrophe in the Bak-Tang-Wiesenfeld, Manna, and random-fiber-bundle models of failure

Dynamical properties and predictability of a class of self-organized critical models

Universality in sandpile models

Sandpile model on the Sierpinski gasket fractal

Self-organized branching processes: Avalanche models with dissipation

Avalanches and waves in the Abelian sandpile model

Sandpile model with activity inhibition

Reail Space Renormalization Group for Self Organized Criticality in Sandpile Models

Toppling and height probabilities in sandpiles

SCALING PROPERTIES OF STRONG AVALANCHES IN SAND-PILE

Size effects of slope dynamics in a 2-dimensional sandpile

Waves of topplings in an Abelian sandpile

Directed fixed energy sandpile model

Self-organized random walks and stochastic sandpile: from linear to branched avalanches

Self-organized criticality within fractional Lorenz scheme

Crossover from rotational to stochastic sandpile universality in the random rotational sandpile model

Exact integration of height probabilities in the Abelian Sandpile model

Characteristics of deterministic and stochastic sandpile models in a rotational sandpile model

Response of random dielectric composites and earthquake models to pulses: prediction possibilities

Onsets of avalanches in the BTW model

Critical exponents of the sand pile models in two dimensions

Height probabilities in the Abelian sandpile model on the generalized finite Bethe lattice

Prediction efficiency in an avalanche model for different target events

Oslo model, hyperuniformity, and the quenched Edwards-Wilkinson model

Crossover phenomenon in self-organized critical sandpile models

Boundary-induced anisotropy of the avalanches in the sandpile automaton

Mean-field theory of avalanches in self-organized critical states

Dissipative sandpile models with universal exponents

Statistical Mechanics of Driven Diffusive System

Exclusive Diffusion Model Showing Self-Organized Criticality

Correlations and scaling in the outflow statistics of a sandpile automaton

Pattern formation outside of equilibrium

Sandpile model on a quenched substrate generated by kinetic self-avoiding trails

The Abelian sandpile model on the honeycomb lattice

Driving Sandpiles to Criticality and Beyond

Avalanche dynamics from anomalous diffusion

Self-organized critical forest-fire model: Mean-field theory and simulation results in 1 to 6 dimenisons

Renormalization scheme for self-organized criticality in sandpile models

Formation of Avalanches and Critical Exponents in an Abelian Sandpile Model

Transitions in Nonconserving Models of Self-Organized Criticality

Self-Organized Branching Processes: Mean-Field Theory for Avalanches

Scaling of waves in the Bak-Tang-Wiesenfeld sandpile model

Moment analysis of the probability distribution of different sandpile models

Avalanches, hydrodynamics, and discharge events in models of sandpiles

Scaling behavior of the Abelian sandpile model

Inversion Symmetry and Exact Critical Exponents of Dissipating Waves in the Sandpile Model

Absorbing-state phase transitions in fixed-energy sandpiles

Expansion and contraction of avalanches in the two-dimensional Abelian sandpile

Evidence for universality within the classes of deterministic and stochastic sandpile models

Continuously varying critical exponents in a sandpile model with internal disorder

How self-organized criticality works: A unified mean-field picture

Universality classes in isotropic, Abelian, and non-Abelian sandpile models

Continuous behavior in a simple model of the adhesive failure of a layer

Self-organized criticality as an absorbing-state phase transition

Dynamics of Eulerian walkers

Dynamical real space renormalization group applied to sandpile models

Cracking piles of brittle grains

Critical states in a dissipative sandpile model

Universality and self-similarity of an energy-constrained sandpile model with random neighbors

Energy Constrained Sandpile Models

Lyapunov exponents and transport in the Zhang model of self-organized criticality

Fluctuations and Correlations in Sandpile Models