Discontinuous Phase Transition in an Exactly Solvable One-Dimensional Creation-Annihilation System

Details Discontinuous Phase Transition in an Exactly Solvable One-Dimensional Creation-Annihilation System Discontinuous Phase Transition in an Exactly Solvable One-Dimensional Creation-Annihilation System

2007-04-18

arxiv.org/abs/0704.2313v2

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1088/1742-5468/2007/08/P08010

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.

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