Random walk of second class particles in product shock measures

DOI10.1007/s10955-010-9933-8zbMath1191.82031arXiv0909.3071OpenAlexW2059570166MaRDI QIDQ967676

György Farkas, Attila Rákos, Márton Balázs, Péter Kovács

Publication date: 30 April 2010

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.3071

zbMATH Keywords

exact solutioninteracting particle systemszero range processsecond class particleasymmetric simple exclusionbranching coalescing random walksBricklayers processshock measure

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items

Molecular motor traffic with a slow binding site ⋮ q-zero range has random walking shocks ⋮ Phase transitions in the driven lattice gas (TASEP) with repulsive energies ⋮ A reverse duality for the ASEP with open boundaries ⋮ Fluctuation bounds in the exponential bricklayers process ⋮ Self-duality and shock dynamics in the \(n\)-species priority ASEP ⋮ Duality Relations for the Periodic ASEP Conditioned on a Low Current ⋮ On the phase transition in the sublattice TASEP with stochastic blockage

Cites Work

• Unnamed Item
• Unnamed Item
• Zero-range process with open boundaries
• Euler hydrodynamics of one-dimensional attractive particle systems
• Invariant measures for the zero range process
• Hydrodynamic limit for attractive particle systems on \(\mathbb{Z}{}^ d\)
• Interaction of Markov processes
• Shock profiles for the asymmetric simple exclusion process in one dimension
• Shock fluctuations in the asymmetric simple exclusion process
• Diffusion and scattering of shocks in the partially asymmetric simple exclusion process
• The asymmetric simple exclusion model with multiple shocks
• Exact connections between current fluctuations and the second class particle in a class of deposition models
• Existence of the zero range process and a deposition model with superlinear growth rates
• Exact shock measures and steady-state selection in a driven diffusive system with two conserved densities
• Multiple shocks in Bricklayers' model
• An infinite particle system with zero range interactions
• Nonlinear electron solutions and their characteristics at infinity
• Processus des misanthropes
• Finite-dimensional representation of the quadratic algebra of a generalized coagulation–decoagulation model
• Nonequilibrium steady states of matrix-product form: a solver's guide
• Microscopic shape of shocks in a domain growth model

This page was built for publication: Random walk of second class particles in product shock measures