Critical properties of the reaction - diffusion model 2A -> 3A, 2A ->0

Details Critical properties of the reaction - diffusion model 2A -> 3A, 2A ->0 Critical properties of the reaction - diffusion model 2A -> 3A, 2A ->0

1999-12-20

arxiv.org/abs/cond-mat/9912347v2

Phys. Rev. E 63, 036101 (2001)

Physics

Condensed Matter

Statistical Mechanics

Substantially revised version, RevTeX, 10 Pages and 5 PostScript figures included

Scientific paper

10.1103/PhysRevE.63.036101

The steady-state phase diagram of the one-dimensional reaction-diffusion model 2A -> 3A, 2A -> 0 is studied through the non-hermitian density matrix renormalization group. In the absence of single-particle diffusion the model reduces to the pair-contact process, which has a phase transition in the universality class of Directed Percolation (DP) and an infinite number of absorbing steady states. When single-particle diffusion is added, the number of absorbing steady states is reduced to two and the model does not show DP critical behaviour anymore. The exponents $\theta=\nu_{\|}/\nu_{\perp}$ and $\beta/\nu_{\perp}$ are calculated numerically. The value of $\beta/\nu_{\perp}$ is close to the value of the Parity Conserving universality class, in spite of the absence of local conservation laws.

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