Reaction-diffusion processes as physical realizations of Hecke algebras

Details Reaction-diffusion processes as physical realizations of Hecke algebras Reaction-diffusion processes as physical realizations of Hecke algebras

1994-02-04

arxiv.org/abs/cond-mat/9402020v1

Physics

Condensed Matter

16 pages, LaTex

Scientific paper

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.

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