1999/12/31 by Enrico Carlon, Malte Henkel, Ulrich Schollwöck +1
Materials Science · Mathematics · Physics and Astronomy · #Material Dynamics and Properties #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.63.036101
published as Phys. Rev. E 63, 036101 (2001) · Substantially revised version, RevTeX, 10 Pages and 5 PostScript figures included
arxiv created 2000/09/25 · openalex publication_date 2001/02/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The steady-state phase diagram of the one-dimensional reaction-diffusion model 2\stackrel\ensuremath→A3A, 2\stackrel\ensuremath→A0 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 \ensuremathθ=\ensuremathν_\ensuremath\Vert/\ensuremathν_\ensuremath⊥ and \ensuremathβ/\ensuremathν_\ensuremath⊥ are calculated numerically. The value of \ensuremathβ/\ensuremathν_\ensuremath⊥ is close to the value of the parity conserving universality class, in spite of the absence of local conservation laws.