Reaction-diffusion processes as physical realizations of Hecke algebras

Preprint

4 February 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9402020

Abstract

The master equation describing non-equilibrium one-dimensional problems like diffusion limited reactions can be written as a euclideen Schr\"odinger equation in which the wave function is the probability distribution and the Hamiltonian is that of a quantum chain with nearest-neighbour interactions. Since many one-dimensional chains are integrable, this opens a new field of applications. For many reactions the Hamiltonian can be written as the sum of generators of various quotients of the Hecke algebra giving hermitian and non-hermitian (for irreversible processes) representations.

Keywords

EQUATION IN WHICH THE WAVE
PROBABILITY DISTRIBUTION
PHYSICAL REALIZATIONS
DIFFUSION PROCESSES
NEAREST NEIGHBOUR
HECKE ALGEBRAS
HERMITIAN

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Version 1, 1994-02-04, ArXiv

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