Path integral approach to birth-death processes on a lattice
J. Phys. France, 46 9 (1985) 1469-1483
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 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 :
Field theory of absorbing phase transitions with a nondiffusive conserved field
Romualdo Pastor-Satorras and Alessandro VespignaniPhysical Review E 62 (5) R5875 (2000)
https://doi.org/10.1103/PhysRevE.62.R5875
Reaction-controlled diffusion
Steffen Trimper, Uwe C. Täuber and Gunter M. SchützPhysical Review E 62 (5) 6071 (2000)
https://doi.org/10.1103/PhysRevE.62.6071
Heuristic derivation of continuum kinetic equations from microscopic dynamics
Kwan-tai LeungPhysical Review E 63 (1) (2000)
https://doi.org/10.1103/PhysRevE.63.016102
Collective diffusion and a random energy landscape
Michael Schulz and Steffen TrimperPhysical Review E 62 (1) 221 (2000)
https://doi.org/10.1103/PhysRevE.62.221
Diffusion-limited coalescence and annihilation in random media
Catalin Mandache and Daniel ben-AvrahamThe Journal of Chemical Physics 112 (17) 7735 (2000)
https://doi.org/10.1063/1.481365
Intermittency in dynamics of two-dimensional vortexlike defects
V. V. LebedevPhysical Review E 62 (1) 1002 (2000)
https://doi.org/10.1103/PhysRevE.62.1002
Kinetically induced solitons
Michael Schulz and Steffen TrimperJournal of Physics A: Mathematical and General 33 (41) 7289 (2000)
https://doi.org/10.1088/0305-4470/33/41/303
Shocks in the asymmetric simple exclusion process in a discrete-time update
C Pigorsch and G M SchützJournal of Physics A: Mathematical and General 33 (44) 7919 (2000)
https://doi.org/10.1088/0305-4470/33/44/306
Real-space renormalization for reaction-diffusion systems
Jef Hooyberghs and Carlo VanderzandeJournal of Physics A: Mathematical and General 33 (5) 907 (2000)
https://doi.org/10.1088/0305-4470/33/5/307
Renormalized field theory of driven lattice gases under infinitely fast drive
F. de los Santos and Miguel A. MuñozPhysical Review E 61 (2) 1161 (2000)
https://doi.org/10.1103/PhysRevE.61.1161
Path-integral formulation of stochastic processes for exclusive particle systems
Su-Chan Park, Doochul Kim and Jeong-Man ParkPhysical Review E 62 (6) 7642 (2000)
https://doi.org/10.1103/PhysRevE.62.7642
Dynamical Systems, Plasmas and Gravitation
Jérôme Chave, Marc A. Dubois and Bernard RiéraLecture Notes in Physics, Dynamical Systems, Plasmas and Gravitation 518 320 (1999)
https://doi.org/10.1007/BFb0105937
AN ANALYTICAL APPROACH TO THE FREDRICKSON–ANDERSEN MODEL WITH VACANCIES
C. PIGORSCH, M. SCHULZ and S. TRIMPERInternational Journal of Modern Physics B 13 (11) 1379 (1999)
https://doi.org/10.1142/S0217979299001454
Interfacial velocity corrections due to multiplicative noise
Leonid Pechenik and Herbert LevinePhysical Review E 59 (4) 3893 (1999)
https://doi.org/10.1103/PhysRevE.59.3893
Asymptotic form of the approach to equilibrium in reversible recombination reactions
Pierre-Antoine Rey and John CardyJournal of Physics A: Mathematical and General 32 (9) 1585 (1999)
https://doi.org/10.1088/0305-4470/32/9/008
Recent results on multiplicative noise
Walter Genovese and Miguel A. MuñozPhysical Review E 60 (1) 69 (1999)
https://doi.org/10.1103/PhysRevE.60.69
ON A LOCAL CARNOT ENGINE
STEFFEN TRIMPER and SIMONE ARTZInternational Journal of Modern Physics B 13 (04) 375 (1999)
https://doi.org/10.1142/S0217979299000229
Scale invariant dynamics of surface growth
C. Castellano, M. Marsili, M. A. Muñoz and L. PietroneroPhysical Review E 59 (6) 6460 (1999)
https://doi.org/10.1103/PhysRevE.59.6460
Reaction diffusion models in one dimension with disorder
Pierre Le Doussal and Cécile MonthusPhysical Review E 60 (2) 1212 (1999)
https://doi.org/10.1103/PhysRevE.60.1212
Nonequilibrium critical behavior in unidirectionally coupled stochastic processes
Yadin Y. Goldschmidt, Haye Hinrichsen, Martin Howard and Uwe C. TäuberPhysical Review E 59 (6) 6381 (1999)
https://doi.org/10.1103/PhysRevE.59.6381
Feedback coupling and self-organization
Michael Schulz and Steffen TrimperJournal of Physics A: Mathematical and General 32 (6) 891 (1999)
https://doi.org/10.1088/0305-4470/32/6/004
Roughening transition of a restricted solid-on-solid model in the directed percolation universality class
J. Ricardo G. de MendonçaPhysical Review E 60 (2) 1329 (1999)
https://doi.org/10.1103/PhysRevE.60.1329
KINETIC INDUCED PHASE TRANSITION
STEFFEN TRIMPERInternational Journal of Modern Physics B 13 (20) 2637 (1999)
https://doi.org/10.1142/S0217979299002563
Reaction-diffusion and ballistic annihilation near an impenetrable boundary
Y Kafri and M J E RichardsonJournal of Physics A: Mathematical and General 32 (18) 3253 (1999)
https://doi.org/10.1088/0305-4470/32/18/304
Fluctuation effects in steric reaction-diffusion systems
Zoran Konkoli, Henrik Johannesson and Benjamin P. LeePhysical Review E 59 (4) R3787 (1999)
https://doi.org/10.1103/PhysRevE.59.R3787
Scaling Laws for the Market Microstructure of the Interdealer Broker Markets
David A. Eliezer and Ian I. KoganSSRN Electronic Journal (1999)
https://doi.org/10.2139/ssrn.147135
Laplacian growth as one-dimensional turbulence
M.B. Hastings and L.S. LevitovPhysica D: Nonlinear Phenomena 116 (1-2) 244 (1998)
https://doi.org/10.1016/S0167-2789(97)00244-3
Wilson renormalization of a reaction–diffusion process
F. van Wijland, K. Oerding and H.J. HilhorstPhysica A: Statistical Mechanics and its Applications 251 (1-2) 179 (1998)
https://doi.org/10.1016/S0378-4371(97)00603-1
Competing Glauber and Kawasaki Dynamics
Simone Artz and Steffen TrimperInternational Journal of Modern Physics B 12 (23) 2385 (1998)
https://doi.org/10.1142/S0217979298001393
Smooth phases, roughening transitions, and novel exponents in one-dimensional growth models
U. Alon, M. R. Evans, H. Hinrichsen and D. MukamelPhysical Review E 57 (5) 4997 (1998)
https://doi.org/10.1103/PhysRevE.57.4997
Multicritical Behavior in Coupled Directed Percolation Processes
Uwe C. Täuber, Martin J. Howard and Haye HinrichsenPhysical Review Letters 80 (10) 2165 (1998)
https://doi.org/10.1103/PhysRevLett.80.2165
Diffusion with restrictions
Simone Artz, Michael Schulz and Steffen TrimperPhysics Letters A 244 (4) 271 (1998)
https://doi.org/10.1016/S0375-9601(98)00335-1
The uses of quantum field theory in diffusion-limited reactions
Daniel C. Mattis and M. Lawrence GlasserReviews of Modern Physics 70 (3) 979 (1998)
https://doi.org/10.1103/RevModPhys.70.979
Facilitated model for glasses
Michael Schulz and Steffen TrimperPhysical Review E 57 (6) 6398 (1998)
https://doi.org/10.1103/PhysRevE.57.6398
Self-organized criticality as an absorbing-state phase transition
Ronald Dickman, Alessandro Vespignani and Stefano ZapperiPhysical Review E 57 (5) 5095 (1998)
https://doi.org/10.1103/PhysRevE.57.5095
Annihilating random walks in one-dimensional disordered media
G. Schütz and K. MussawisadePhysical Review E 57 (3) 2563 (1998)
https://doi.org/10.1103/PhysRevE.57.2563
Correlated initial conditions in directed percolation
Haye Hinrichsen and Géza ÓdorPhysical Review E 58 (1) 311 (1998)
https://doi.org/10.1103/PhysRevE.58.311
Exact results for one-dimensional totally asymmetric diffusion models
Tomohiro Sasamoto and Miki WadatiJournal of Physics A: Mathematical and General 31 (28) 6057 (1998)
https://doi.org/10.1088/0305-4470/31/28/019
Aging in two- and three-particle annihilation processes
K. P. N. Murthy and G. M. SchützPhysical Review E 57 (2) 1388 (1998)
https://doi.org/10.1103/PhysRevE.57.1388
Determinant Form Solution for the Derivative Nonlinear Schrödinger Type Model
Tomohiro Sasamoto and Miki WadatiJournal of the Physical Society of Japan 67 (3) 784 (1998)
https://doi.org/10.1143/JPSJ.67.784
Persistence in the Voter model: continuum reaction-diffusion approach
M Howard and C GodrècheJournal of Physics A: Mathematical and General 31 (11) L209 (1998)
https://doi.org/10.1088/0305-4470/31/11/001
Self-consistent model of an annihilation-diffusion reaction with long-range interactions
Valeriy V. Ginzburg, Leo Radzihovsky and Noel A. ClarkPhysical Review E 55 (1) 395 (1997)
https://doi.org/10.1103/PhysRevE.55.395
Erratum: Renormalization group study of the A+B→Φ diffusion-limited reaction
Benjamin P. Lee and John CardyJournal of Statistical Physics 87 (3-4) 951 (1997)
https://doi.org/10.1007/BF02181256
Reaction diffusion with initially separated reactants: Functional integral approach
Victor Malyutin, Savely Rabinovich and Shlomo HavlinPhysical Review E 56 (1) 708 (1997)
https://doi.org/10.1103/PhysRevE.56.708
Q-Statistics and the master equation
Michael Schulz, Steffen Trimper and John KimballPhysics Letters A 235 (2) 113 (1997)
https://doi.org/10.1016/S0375-9601(97)00628-2
Coherent-state path-integral simulation of many-particle systems
M. Beccaria, B. Allés and F. FarchioniPhysical Review E 55 (4) 3870 (1997)
https://doi.org/10.1103/PhysRevE.55.3870
Cellular automata approach to pattern formation in reaction-diffusion systems
Michel DrozPhysica A: Statistical Mechanics and its Applications 240 (1-2) 239 (1997)
https://doi.org/10.1016/S0378-4371(97)00147-7
`Real' versus `imaginary' noise in diffusion-limited reactions
Martin J Howard and Uwe C TäuberJournal of Physics A: Mathematical and General 30 (22) 7721 (1997)
https://doi.org/10.1088/0305-4470/30/22/011
A renormalization group study of a class of reaction-diffusion models, with particles input
Pierre-Antoine Rey and Michel DrozJournal of Physics A: Mathematical and General 30 (4) 1101 (1997)
https://doi.org/10.1088/0305-4470/30/4/013
Exclusive dynamics and nonlinear diffusion equation
Michael Schulz and Steffen TrimperPhysics Letters A 227 (3-4) 172 (1997)
https://doi.org/10.1016/S0375-9601(97)00046-7
Reaction–Diffusion Processes from Equivalent Integrable Quantum Chains
Malte Henkel, Enzo Orlandini and Jaime SantosAnnals of Physics 259 (2) 163 (1997)
https://doi.org/10.1006/aphy.1997.5712
Survival probability and field theory in systems with absorbing states
M. A. Muñoz, G. Grinstein and Yuhai TuPhysical Review E 56 (5) 5101 (1997)
https://doi.org/10.1103/PhysRevE.56.5101
Universal properties of the mA + nB → Ø diffusion-limited reaction
Tomohiro Sasamoto, Shintaro Mori and Miki WadatiPhysica A: Statistical Mechanics and its Applications 247 (1-4) 357 (1997)
https://doi.org/10.1016/S0378-4371(97)00387-7
Kinetic Ising model with non-thermal noise
Michael Schulz and Steffen TrimperPhysics Letters A 219 (5-6) 309 (1996)
https://doi.org/10.1016/0375-9601(96)00458-6
Three-state model and chemical reactions
M Schulz and S TrimperJournal of Physics A: Mathematical and General 29 (20) 6543 (1996)
https://doi.org/10.1088/0305-4470/29/20/012
The annihilation reaction in a quenched random velocity field
K OerdingJournal of Physics A: Mathematical and General 29 (22) 7051 (1996)
https://doi.org/10.1088/0305-4470/29/22/009
Fluctuation kinetics in a multispecies reaction - diffusion system
Martin HowardJournal of Physics A: Mathematical and General 29 (13) 3437 (1996)
https://doi.org/10.1088/0305-4470/29/13/016
Parafermi statistics and p-state models
M Schulz and S TrimperPhysics Letters A 216 (6) 235 (1996)
https://doi.org/10.1016/0375-9601(96)00278-2
Shear flows and segregation in the reactionA+B→∅
M. J. Howard and G. T. BarkemaPhysical Review E 53 (6) 5949 (1996)
https://doi.org/10.1103/PhysRevE.53.5949
Fock-space approach to the kinetic Ising model
Michael Schulz and Steffen TrimperPhysical Review B 53 (13) 8421 (1996)
https://doi.org/10.1103/PhysRevB.53.8421
Analytical study of an asymmetric 1D statistical model for chemical reactions
Claude AslangulPhysica A: Statistical Mechanics and its Applications 231 (4) 687 (1996)
https://doi.org/10.1016/0378-4371(96)00089-1
Fluctuation effects and multiscaling of the reaction-diffusion front for A+B to OE
M Howard and J CardyJournal of Physics A: Mathematical and General 28 (13) 3599 (1995)
https://doi.org/10.1088/0305-4470/28/13/007
Complex Systems and Binary Networks
B. DerridaLecture Notes in Physics, Complex Systems and Binary Networks 461-461 165 (1995)
https://doi.org/10.1007/BFb0103572
Proportion of unaffected sites in a reaction-diffusion process
J CardyJournal of Physics A: Mathematical and General 28 (1) L19 (1995)
https://doi.org/10.1088/0305-4470/28/1/004
Analytical approach to traffic jams
M Kaulke and S TrimperJournal of Physics A: Mathematical and General 28 (19) 5445 (1995)
https://doi.org/10.1088/0305-4470/28/19/002
Scaling theory of particle annihilation in systems with a long-range interaction
Valeriy V. Ginzburg, Paul D. Beale and Noel A. ClarkPhysical Review E 52 (3) 2583 (1995)
https://doi.org/10.1103/PhysRevE.52.2583
Renormalization group study of theA+B→⊘ diffusion-limited reaction
Benjamin P. Lee and John CardyJournal of Statistical Physics 80 (5-6) 971 (1995)
https://doi.org/10.1007/BF02179861
Universality of a class of annihilation-coagulation models
Daniele Balboni, Pierre-Antoine Rey and Michel DrozPhysical Review E 52 (6) 6220 (1995)
https://doi.org/10.1103/PhysRevE.52.6220
Universality class of two-offspring branching annihilating random walks
Dexin Zhong and Daniel ben-AvrahamPhysics Letters A 209 (5-6) 333 (1995)
https://doi.org/10.1016/0375-9601(95)00869-1
The fixed-scale transformation approach to fractal growth
A. Erzan, L. Pietronero and A. VespignaniReviews of Modern Physics 67 (3) 545 (1995)
https://doi.org/10.1103/RevModPhys.67.545
Scaling of reaction zones in theA+B→0 diffusion-limited reaction
Benjamin P. Lee and John CardyPhysical Review E 50 (5) R3287 (1994)
https://doi.org/10.1103/PhysRevE.50.R3287
Series analysis of the generalized contact process
Iwan Jensen and Ronald DickmanPhysica A: Statistical Mechanics and its Applications 203 (2) 175 (1994)
https://doi.org/10.1016/0378-4371(94)90151-1
Critical behaviour of non-equilibrium q-state systems
A Crisanti and P GrassbergerJournal of Physics A: Mathematical and General 27 (21) 6955 (1994)
https://doi.org/10.1088/0305-4470/27/21/012
Renormalization group calculation for the reaction kA to OE
B P LeeJournal of Physics A: Mathematical and General 27 (8) 2633 (1994)
https://doi.org/10.1088/0305-4470/27/8/004
Diffusion and correlation in a coherent representation
H. Patzlaff, S. Sandow and S. TrimperZeitschrift f�r Physik B Condensed Matter 95 (3) 357 (1994)
https://doi.org/10.1007/BF01343964
Equivalence between Poisson representation and Fock space formalism for birth-death processes
M Droz and A McKaneJournal of Physics A: Mathematical and General 27 (13) L467 (1994)
https://doi.org/10.1088/0305-4470/27/13/002
Analytical approach to the forest-fire model
H. Patzlaff and S. TrimperPhysics Letters A 189 (3) 187 (1994)
https://doi.org/10.1016/0375-9601(94)90635-1
Non-trivial exponents in the zero temperature dynamics of the 1D Ising and Potts models
B Derrida, A J Bray and C GodrecheJournal of Physics A: Mathematical and General 27 (11) L357 (1994)
https://doi.org/10.1088/0305-4470/27/11/002
Non-Abelian symmetries of stochastic processes: Derivation of correlation functions for random-vertex models and disordered-interacting-particle systems
Gunter Schütz and Sven SandowPhysical Review E 49 (4) 2726 (1994)
https://doi.org/10.1103/PhysRevE.49.2726
Theory of diffusion-limited growth
Herbert Levine and Yuhai TuPhysical Review E 48 (6) R4207 (1993)
https://doi.org/10.1103/PhysRevE.48.R4207
Pairing correlations in diffusion-limited recombination: coupled-cluster study in Fock space
M G RudavetsJournal of Physics A: Mathematical and General 26 (20) 5313 (1993)
https://doi.org/10.1088/0305-4470/26/20/018
Aggregation Processes in a Master-Equation Approach
S Sandow and S TrimperEurophysics Letters (EPL) 21 (8) 799 (1993)
https://doi.org/10.1209/0295-5075/21/8/001
Morphology transitions in a mean-field model of diffusion-limited growth
Yuhai Tu, Herbert Levine and Douglas RidgwayPhysical Review Letters 71 (23) 3838 (1993)
https://doi.org/10.1103/PhysRevLett.71.3838
Renormalization-group approach to simple reaction-diffusion phenomena
Michel Droz and László SasváriPhysical Review E 48 (4) R2343 (1993)
https://doi.org/10.1103/PhysRevE.48.R2343
Time-dependent perturbation theory for nonequilibrium lattice models
Iwan Jensen and Ronald DickmanJournal of Statistical Physics 71 (1-2) 89 (1993)
https://doi.org/10.1007/BF01048090
Gaussian white noise as a many-particle process: the Kardar-Parisi-Zhang equation
S Sandow and S TrimperJournal of Physics A: Mathematical and General 26 (13) 3079 (1993)
https://doi.org/10.1088/0305-4470/26/13/012
Time-dependent perturbation theory for diffusive non-equilibrium lattice models
I Jensen and R DickmanJournal of Physics A: Mathematical and General 26 (4) L151 (1993)
https://doi.org/10.1088/0305-4470/26/4/005
Adiabatic kinetics in the theory of diffusion-limited recombination. II
M G Rudavets and A G RudavetsJournal of Physics A: Mathematical and General 25 (20) 5297 (1992)
https://doi.org/10.1088/0305-4470/25/20/012
Time-dependent perturbation theory for nonequilibrium lattice models
Ronald Dickman and Iwan JensenPhysical Review Letters 67 (17) 2391 (1991)
https://doi.org/10.1103/PhysRevLett.67.2391
Continual stochastic description of systems with chemical reactions in the presence of a long-range interaction and concentration dependence of the electrical conductivity of electrolytes
V. S. Lutovinov and V. R. ChechetkinTheoretical and Experimental Chemistry 26 (5) 524 (1991)
https://doi.org/10.1007/BF00531905
Fluctuation effects in coagulation processes
Hisao HayakawaPhysica A: Statistical Mechanics and its Applications 175 (3) 383 (1991)
https://doi.org/10.1016/0378-4371(91)90239-9
Renormalisation of random walks with memory
S E Derkachov, J Honkonen and A N Vasil'evJournal of Physics A: Mathematical and General 23 (12) 2479 (1990)
https://doi.org/10.1088/0305-4470/23/12/026
Comprehensive Polymer Science and Supplements
Thomas A. VilgisComprehensive Polymer Science and Supplements 227 (1989)
https://doi.org/10.1016/B978-0-08-096701-1.00188-9
Random factors in chemical kinetics
A.A. LushnikovChemical Physics 134 (2-3) 259 (1989)
https://doi.org/10.1016/0301-0104(89)87160-5
Nonequilibrium lattice models: Series analysis of steady states
Ronald DickmanJournal of Statistical Physics 55 (5-6) 997 (1989)
https://doi.org/10.1007/BF01041076
Field theoretic approach to a source-enhanced aggregation process
H HayakawaJournal of Physics A: Mathematical and General 22 (5) 571 (1989)
https://doi.org/10.1088/0305-4470/22/5/019
Continuous stochastic theory of birth and death processes with long-range interaction. Application to electrolytes
V.R. Chechetkin and V.S. LutovinovJournal de Physique 49 (2) 159 (1988)
https://doi.org/10.1051/jphys:01988004902015900
Perturbation Theory for Continuous Stochastic Equations
V. R. Chechetkin and V. S. LutovinovFortschritte der Physik/Progress of Physics 35 (12) 831 (1987)
https://doi.org/10.1002/prop.2190351203
Scaling in reaction-diffusion systems
D Elderfield and M WilbyJournal of Physics A: Mathematical and General 20 (2) L77 (1987)
https://doi.org/10.1088/0305-4470/20/2/007
Smoluchowski and beyond: a field theoretical study of coagulation/fragmentation processes
D ElderfieldJournal of Physics A: Mathematical and General 20 (3) L135 (1987)
https://doi.org/10.1088/0305-4470/20/3/004