Real space renormalisation for reaction-diffusion systems

Details Real space renormalisation for reaction-diffusion systems Real space renormalisation for reaction-diffusion systems

1999-03-10

arxiv.org/abs/cond-mat/9903161v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, 3 Postscript figures. submitted to J. Phys. A

Scientific paper

The stationary state of stochastic processes such as reaction-diffusion systems can be related to the ground state of a suitably defined quantum Hamiltonian. Using this analogy, we investigate the applicability of a real space renormalisation group approach, originally developped for quantum spin systems, to interacting particle systems. We apply the technique to an exactly solvable reaction-diffusion system and to the contact process (both in $d=1$). In the former case, several exact results are recovered. For the contact process, surprisingly good estimates of critical parameters are obtained from a small-cell renormalisation.

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