Interface fluctuations in the two-dimensional weakly asymmetric simple exclusion process

DOI10.1016/0304-4149(92)90060-4zbMath0757.60105OpenAlexW2079635695MaRDI QIDQ1201890

Krishnamurthi Ravishankar

Publication date: 17 January 1993

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(92)90060-4

zbMATH Keywords

Burgers equationOrnstein-Uhlenbeck processtravelling wave solutionsstochastic partial differential equationpropagation of chaosweakly asymmetric simple exclusion process

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items

Shock fluctuations in the two-dimensional asymmetric simple exclusion process ⋮ Hyperbolic scaling limit of non-equilibrium fluctuations for a weakly anharmonic chain

Cites Work

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• Tightness of probabilities on C([0,1;\(S_ p\)) and D([0,1];\(S_ p\))]
• A propagation of chaos result for Burgers' equation
• Hydrodynamical limit for the asymmetric simple exclusion process
• Shocks in the asymmetric exclusion process
• Non-equilibrium fluctuations for a zero range process
• The weakly asymmetric simple exclusion process
• Hydrodynamical equation for attractive particle systems on \(\mathbb{Z}^ d\)
• Shock fluctuations in asymmetric simple exclusion
• Fluctuations from the hydrodynamical limit for the symmetric simple exclusion in \(\mathbb{Z}{}^ d\)
• Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions
• Microscopic structure of travelling waves in the asymmetric simple exclusion process
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