Convergence of stochastic cellular automaton to Burger's equation: Fluctuations and stability

DOI10.1016/S0167-2789(98)90017-3zbMath0672.76014OpenAlexW2074681419MaRDI QIDQ1120387

Enza Orlandi, Joel L. Lebowitz, Errico Presutti

Publication date: 1988

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)90017-3

zbMATH Keywords

Burgers' equationdensity profilestochastic cellular automaton model

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

Related Items

STABLE, MULTI-STATE, TIME-REVERSIBLE CELLULAR AUTOMATA WITH RICH PARTICLE CONTENT, Overview: PCA Models and Issues, Algorithm refinement for the stochastic Burgers' equation, Macrodynamics: Large-scale structures in turbulent media, A stochastic lattice gas for Burgers' equation: A practical study, Unnamed Item, Macroscopic stochastic fluctuations in a one-dimensional mechanical system., Transient bimodality in interacting particle systems, Hydrodynamics of stochastic cellular automata, Unnamed Item, Shock profiles for the asymmetric simple exclusion process in one dimension, Macroscopic stochastic fluctuations in a one-dimensional mechanical system.

Cites Work

• A dynamical phase transition in an infinite particle system
• The weakly asymmetric simple exclusion process
• Microscopic models of hydrodynamic behavior.
• Microscopic structure at the shock in the asymmetric simple exclusion
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