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Reaction-diffusion processes from equivalent integrable quantum chains
DOI:10.1006/aphy.1997.5712.png)
Abstract
En 中文
One-dimensional reaction-diffusion systems are mapped through a similarity transformation onto integrable (and a priori nonstochastic) 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. (C) 1997 Academic Press.
Keywords:
BETHE-ANSATZ SOLUTION
KINETIC ISING-MODELS
ONE DIMENSION
STOCHASTIC-SYSTEMS
XXZ CHAIN
ANNIHILATION
DYNAMICS
COAGULATION
INVARIANCE
EQUATION
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