Phase transitions in the two-species totally asymmetric exclusion process with open boundaries

DOI10.1088/1742-5468/2006/12/P12008zbMath1456.82641MaRDI QIDQ4968905

Chikashi Arita

Publication date: 9 July 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

zbMATH Keywords

exact resultsdriven diffusive systems (theory)stochastic particle dynamics (theory)

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Related Items (6)

The exact phase diagram for a semipermeable TASEP with nonlocal boundary jumps ⋮ Combinatorial mappings of exclusion processes ⋮ Rényi entropy of the totally asymmetric exclusion process ⋮ The phase diagram for a multispecies left-permeable asymmetric exclusion process ⋮ Toric tableaux and the inhomogeneous two-species TASEP on a ring ⋮ The phase diagram for a class of multispecies permissive asymmetric exclusion processes

Cites Work

• Phase transitions in an exactly soluble one-dimensional exclusion process
• Exact solution of the totally asymmetric simple exclusion process: shock profiles
• Asymmetric exclusion model with two species: spontaneous symmetry breaking
• Exact shock measures and steady-state selection in a driven diffusive system with two conserved densities
• Diffusion algebras
• Matrix product eigenstates for one-dimensional stochastic models and quantum spin chains
• Phase diagram of one-dimensional driven lattice gases with open boundaries
• On matrix product ground states for reaction - diffusion models
• Critical phenomena and universal dynamics in one-dimensional driven diffusive systems with two species of particles
• Exact solution of a 1D asymmetric exclusion model using a matrix formulation
• Asymmetric simple exclusion process with open boundaries and Askey–Wilson polynomials
• One-dimensional partially asymmetric simple exclusion process with open boundaries: orthogonal polynomials approach
• Exactly Solvable Models for Many-Body Systems Far from Equilibrium

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