Critical properties of the reaction-diffusion model 2A→3A, 2A→0
Enrico Carlon, Malte Henkel, Ulrich Schollwöck
The steady-state phase diagram of the one-dimensional reaction-diffusion model $2\stackrel{\ensuremath{\rightarrow}}{A}3A,$ $2\stackrel{\ensuremath{\rightarrow}}{A}0$ 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 2 and the model no longer shows DP critical behavior. The exponents $\ensuremath{\theta}={\ensuremath{\nu}}_{\ensuremath{\Vert}}/{\ensuremath{\nu}}_{\ensuremath{\perp}}$ and $\ensuremath{\beta}/{\ensuremath{\nu}}_{\ensuremath{\perp}}$ are calculated numerically. The value of $\ensuremath{\beta}/{\ensuremath{\nu}}_{\ensuremath{\perp}}$ is close to the value of the parity conserving universality class, in spite of the absence of local conservation laws.
arXiv:cond-mat/9912347•Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics•Feb 15, 2001•88 citations