Article cité par

La fonctionnalité Article cité par… liste les citations d'un article. Ces citations proviennent de la base de données des articles de EDP Sciences, ainsi que des bases de données d'autres éditeurs participant au programme strong>CrossRef Cited-by Linking Program. Vous pouvez définir une alerte courriel pour être prévenu de la parution d'un nouvel article citant " cet article (voir sur la page du résumé de l'article le menu à droite).

Article cité :

Citations de cet article :

Structure of two-dimensional sandpile. I. Height probabilities

V. B. Priezzhev
Journal of Statistical Physics 74 (5-6) 955 (1994)
DOI: 10.1007/BF02188212
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

Fractals and Disordered Systems

Dietrich Stauffer
Fractals and Disordered Systems 339 (1996)
DOI: 10.1007/978-3-642-84868-1_9
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

Efficient large-scale simulations of a uniformly driven system

Peter Grassberger
Physical Review E 49 (3) 2436 (1994)
DOI: 10.1103/PhysRevE.49.2436
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

Universality in sandpile models

Asa Ben-Hur and Ofer Biham
Physical Review E 53 (2) R1317 (1996)
DOI: 10.1103/PhysRevE.53.R1317
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

Sandpile model with activity inhibition

S. S. Manna and D. Giri
Physical Review E 56 (5) R4914 (1997)
DOI: 10.1103/PhysRevE.56.R4914
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

Directed fixed energy sandpile model

R. Karmakar and S. S. Manna
Physical Review E 69 (6) 067107 (2004)
DOI: 10.1103/PhysRevE.69.067107
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

Crossover phenomenon in self-organized critical sandpile models

S. Lübeck
Physical Review E 62 (5) 6149 (2000)
DOI: 10.1103/PhysRevE.62.6149
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

Avalanche dynamics from anomalous diffusion

Péter Bántay and Imre M. Jánosi
Physical Review Letters 68 (13) 2058 (1992)
DOI: 10.1103/PhysRevLett.68.2058
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

Scaling behavior of the Abelian sandpile model

Barbara Drossel
Physical Review E 61 (3) R2168 (2000)
DOI: 10.1103/PhysRevE.61.R2168
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

Cracking piles of brittle grains

František Slanina
Physical Review E 60 (2) 1940 (1999)
DOI: 10.1103/PhysRevE.60.1940
Voir cet article

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
Voir cet article

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
Voir cet article

Energy Constrained Sandpile Models

Alessandro Chessa, Enzo Marinari and Alessandro Vespignani
Physical Review Letters 80 (19) 4217 (1998)
DOI: 10.1103/PhysRevLett.80.4217
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

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
Voir cet article

Finite size scaling in BTW like sandpile models

J. A. Ahmed and S. B. Santra
The European Physical Journal B 76 (1) 13 (2010)
DOI: 10.1140/epjb/e2010-00198-x
Voir cet article

Quasiperiodic tilings and self-organized criticality

Dieter Joseph
Materials Science and Engineering: A 294-296 685 (2000)
DOI: 10.1016/S0921-5093(00)01141-2
Voir cet article

Particle–hole symmetry in a sandpile model

R Karmakar and S S Manna
Journal of Statistical Mechanics: Theory and Experiment 2005 (01) L01002 (2005)
DOI: 10.1088/1742-5468/2005/01/L01002
Voir cet article

Randomness and a step-like distribution of pile heights in avalanche models

A. B. Shapoval and M. G. Shnirman
The European Physical Journal B 59 (3) 399 (2007)
DOI: 10.1140/epjb/e2007-00293-1
Voir cet article

Feedback Mechanisms for Self-Organization to the Edge of a Phase Transition

Victor Buendía, Serena di Santo, Juan A. Bonachela and Miguel A. Muñoz
Frontiers in Physics 8 (2020)
DOI: 10.3389/fphy.2020.00333
Voir cet article

ON A CONSERVATIVE LAVA FLOW AUTOMATON

J. A. O. MATOS and J. A. M. S. DUARTE
International Journal of Modern Physics C 10 (01) 321 (1999)
DOI: 10.1142/S012918319900022X
Voir cet article

Dynamically Driven Renormalization Group Applied to Self-Organized Critical Systems

A. Vespignani, S. Zapperi and V. Loreto
International Journal of Modern Physics B 12 (12n13) 1407 (1998)
DOI: 10.1142/S021797929800082X
Voir cet article

QUANTUM FIELD THEORY RENORMALIZATION GROUP APPROACH TO SELF-ORGANIZED CRITICAL MODELS: THE CASE OF RANDOM BOUNDARIES

D. VOLCHENKOV, PH. BLANCHARD and B. CESSAC
International Journal of Modern Physics B 16 (08) 1171 (2002)
DOI: 10.1142/S0217979202010130
Voir cet article

CROSSOVER PHENOMENON AND UNIVERSALITY: FROM RANDOM WALK TO DETERMINISTIC SAND-PILES THROUGH RANDOM SAND-PILES

A. B. SHAPOVAL and M. G. SHNIRMAN
International Journal of Modern Physics C 16 (12) 1893 (2005)
DOI: 10.1142/S0129183105008412
Voir cet article

n-State Exclusive Diffusion Models for Avalanche Processes Showing Self-Organized Criticality

Hirotsugu Kobayashi and Makoto Katori
Journal of the Physical Society of Japan 66 (8) 2367 (1997)
DOI: 10.1143/JPSJ.66.2367
Voir cet article

UNIVERSAL SCALING BEHAVIOR OF NON-EQUILIBRIUM PHASE TRANSITIONS

SVEN LÜBECK
International Journal of Modern Physics B 18 (31n32) 3977 (2004)
DOI: 10.1142/S0217979204027748
Voir cet article

The dynamics of sand

A Mehta and G C Barker
Reports on Progress in Physics 57 (4) 383 (1994)
DOI: 10.1088/0034-4885/57/4/002
Voir cet article

Self-organized criticality

Donald L Turcotte
Reports on Progress in Physics 62 (10) 1377 (1999)
DOI: 10.1088/0034-4885/62/10/201
Voir cet article

Two-state model of self-organized criticality

S S Manna
Journal of Physics A: Mathematical and General 24 (7) L363 (1991)
DOI: 10.1088/0305-4470/24/7/009
Voir cet article

Non-conservative sandpile cellular automaton on the Bethe lattice

M Markosova
Journal of Physics A: Mathematical and General 28 (23) 6903 (1995)
DOI: 10.1088/0305-4470/28/23/030
Voir cet article

Universality classes in directed sandpile models

Romualdo Pastor-Satorras and Alessandro Vespignani
Journal of Physics A: Mathematical and General 33 (3) L33 (2000)
DOI: 10.1088/0305-4470/33/3/101
Voir cet article

Height correlations in the Abelian sandpile model

S N Majumdar and D Dhar
Journal of Physics A: Mathematical and General 24 (7) L357 (1991)
DOI: 10.1088/0305-4470/24/7/008
Voir cet article

Self-organized critical state in a directed sandpile automaton on Bethe lattices: equivalence to site percolation

Gongwen Peng
Journal of Physics A: Mathematical and General 25 (20) 5279 (1992)
DOI: 10.1088/0305-4470/25/20/010
Voir cet article

On a self-organized critical forest-fire model

P Grassberger
Journal of Physics A: Mathematical and General 26 (9) 2081 (1993)
DOI: 10.1088/0305-4470/26/9/007
Voir cet article

Cascades and self-organized criticality

S. S. Manna, L�szl� B. Kiss and J�nos Kert�sz
Journal of Statistical Physics 61 (3-4) 923 (1990)
DOI: 10.1007/BF01027312
Voir cet article

Sandpile model on an optimized scale-free network on Euclidean space

R Karmakar and S S Manna
Journal of Physics A: Mathematical and General 38 (6) L87 (2005)
DOI: 10.1088/0305-4470/38/6/L03
Voir cet article

Critical behavior of sandpile vortices under variable charge

H. J. Ruskin
Journal of Statistical Physics 73 (1-2) 389 (1993)
DOI: 10.1007/BF01052767
Voir cet article

Dynamically driven renormalization group

Alessandro Vespignani, Stefano Zapperi and Vittorio Loreto
Journal of Statistical Physics 88 (1-2) 47 (1997)
DOI: 10.1007/BF02508464
Voir cet article

Landslides on sandpiles: Some moment relations in one dimension

Joachim Krug
Journal of Statistical Physics 66 (5-6) 1635 (1992)
DOI: 10.1007/BF01054439
Voir cet article

Size distribution of different types of sites in Abelian sandpile avalanches

S. Banerjee, S. B. Santra and I. Bose
Zeitschrift f�r Physik B Condensed Matter 96 (4) 571 (1995)
DOI: 10.1007/BF01313858
Voir cet article

Fractals and Disordered Systems

Dietrich Stauffer
Fractals and Disordered Systems 297 (1991)
DOI: 10.1007/978-3-642-51435-7_9
Voir cet article

Critical properties of deterministic and stochastic sandpile models on two-dimensional percolation backbone

Himangsu Bhaumik and S.B. Santra
Physica A: Statistical Mechanics and its Applications 548 124318 (2020)
DOI: 10.1016/j.physa.2020.124318
Voir cet article

Mean-Field Behaviour in a Local Low-Dimensional Model

H.-M Bröker and P Grassberger
Europhysics Letters (EPL) 30 (6) 319 (1995)
DOI: 10.1209/0295-5075/30/6/001
Voir cet article

Self-organised criticality in stochastic sandpiles: Connection to directed percolation

Urna Basu and P. K. Mohanty
EPL (Europhysics Letters) 108 (6) 60002 (2014)
DOI: 10.1209/0295-5075/108/60002
Voir cet article