Discontinuous Phase Transition in an Exactly Solvable One-Dimensional Creation-Annihilation System
Statistical Mechanics
2009-11-13 v2
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 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.
Cite
@article{arxiv.0704.2313,
title = {Discontinuous Phase Transition in an Exactly Solvable One-Dimensional Creation-Annihilation System},
author = {F H Jafarpour and B Ghavami},
journal= {arXiv preprint arXiv:0704.2313},
year = {2009}
}