REACTION-DIFFUSION PROCESSES FROM EQUIVALENT INTEGRABLE QUANTUM CHAINS

One-dimensional reaction-diffusion systems are mapped through a simila rity transformation onto integrable (and a priori nonstochastic) quant um chains. Time-dependent properties of these chemical models can then be found exactly. The reaction-diffusion processes related to free fe rmion systems with site-independent interactions are classified. The t ime-dependence of the mean particle density is calculated. Furthermore , new integrable stochastic processes related to the Heisenberg XXZ ch ain are identified and the relaxation times for the particle density a nd density correlation for these systems are found. (C) 1997 Academic Press.