Nonequilibrium tricriticality in one dimension

2007/03/31 by Jaya Maji, Somendra M. Bhattacharjee
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Condensed matter physics #Crossover #Non-equilibrium thermodynamics #Phase (matter) #Phase diagram #Physics #Quantum mechanics #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Tricritical point #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1209/0295-5075/81/30005

published as Europhysics Letters. 81 (2008) 30005 · 6 pages; 4 figures

openalex publication_date 2007/12/31 · arxiv created 2008/04/01 · arxiv updated 2011/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show the existence of a nonequilibrium tricritical point induced by a repulsive interaction in one-dimensional asymmetric exclusion processes. The tricritical point is associated with the particle-hole symmetry breaking introduced by the repulsion. The phase diagram and the crossover in the neighbourhood of the tricritical point for the shock formation at one of the boundaries are determined.

Citations

• Multi-shocks in reaction-diffusion models
• Totally asymmetric simple exclusion process with Langmuir kinetics
• Vicinal Surfaces, Fractional Statistics, and Universality
• Absence of first-order transition and tricritical point in the dynamic phase diagram of a spatially extended bistable system in an oscillating field
• Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors
• Scaling Concepts in Polymer Physics
• Phase Coexistence in Driven One-Dimensional Transport