The discontinuous phase transition for an exactly solvable one-dimensional creation–annihilation system

2007/04/30 by F H Jafarpour, B Ghavami
Mathematics · Physics and Astronomy · #Annihilation #Boundary (topology) #Lattice (music) #Nonlinear Photonic Systems #Periodic boundary conditions #Phase boundary #Phase transition #Quantum phase transition #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1088/1742-5468/2007/08/p08010

Revised, 8 pages, 1 EPS figure. Accepted for publication in Journal of Statistical Mechanics: theory and experiment

arxiv created 2007/06/22 · openalex publication_date 2007/08/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

An exactly solvable reaction–diffusion model consisting of first-class particles in the presence of a single second-class particle is introduced on a one-dimensional lattice with a periodic boundary condition. The number of first-class particles can be changed due to creation and annihilation reactions. It is shown that the system undergoes a discontinuous phase transition in contrast to the case where the density of the second-class particles is finite and the phase transition is continuous.

Citations

• Traffic of Molecular Motors Through Tube-Like Compartments
• Microscopic structure of travelling wave solutions in a class of stochastic interacting particle systems
• Melting and unzipping of DNA
• Phase Coexistence in Driven One-Dimensional Transport