Reaction-Diffusion Processes from Equivalent Integrable Quantum Chains

Preprint

5 May 1997

preprint
Published by arXiv in arXiv

Abstract

One-dimensional reaction-diffusion systems are mapped through a similarity transformation onto integrable (and a priori non-stochastic) quantum chains. Time-dependent properties of these chemical models can then be found exactly. The reaction-diffusion processes related to free fermion systems with site-independent interactions are classified. The time-dependence of the mean particle density is calculated. Furthermore new integrable stochastic processes related to the Heisenberg XXZ chain are identified and the relaxation times for the particle density and density correlation for these systems are found.

Keywords

REACTION DIFFUSION PROCESSES
EQUIVALENT INTEGRABLE
STOCHASTIC PROCESSES
INTEGRABLE QUANTUM
QUANTUM CHAINS

All Related Versions

Version 1, 1996-10-08, ArXiv
Version 2, 1997-05-05, ArXiv
Version 3, 1997-10-09, ArXiv
Published version: Annals of Physics, 259 (2), 163.

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