Exact Solution of a Reaction-Diffusion Model with Particle Number Conservation

Details Exact Solution of a Reaction-Diffusion Model with Particle Number Conservation Exact Solution of a Reaction-Diffusion Model with Particle Number Conservation

2004-06-26

arxiv.org/abs/cond-mat/0406658v2

Physics

Condensed Matter

Statistical Mechanics

7 pages, REVTEX4, Contents updated and new references added, to appear in Physical Review E

Scientific paper

10.1103/PhysRevE.70.056121

We analytically investigate a 1d branching-coalescing model with reflecting boundaries in a canonical ensemble where the total number of particles on the chain is conserved. Exact analytical calculations show that the model has two different phases which are separated by a second-order phase transition. The thermodynamic behavior of the canonical partition function of the model has been calculated exactly in each phase. Density profiles of particles have also been obtained explicitly. It is shown that the exponential part of the density profiles decay on three different length scales which depend on total density of particles.

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