Nonuniform autonomous one-dimensional exclusion nearest neighbor reaction diffusion models, II

TL;DR

This paper extends the analysis of non-uniform one-dimensional exclusion reaction-diffusion models by solving the relaxation equations using transfer-matrix methods, classifying models and exploring dynamical phase transitions.

Contribution

It introduces a classification of models where relaxation equations are solvable via transfer-matrix methods, advancing understanding of their dynamical behavior.

Findings

Relaxation equations can be solved with transfer-matrix methods in certain models.

Dynamical phase transitions are identified and characterized.

Stationary profiles are obtained for a broader class of models.

Abstract

In a recent article the most general non-uniform reaction-diffusion models on a one-dimensional lattice with boundaries were considered, for which the time evolution equations of correlation functions are closed and the stationary profile can be obtained using a transfer-matrix method. Here models are investigated for which also the equation of relaxation towards the stationary profile could be solved through a similar transfer-matrix method. A classification is given, and dynamical phase transitions are studied.