Abstract
The steady-state phase diagram of the one-dimensional reaction-diffusion model 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 and are calculated numerically. The value of is close to the value of the parity conserving universality class, in spite of the absence of local conservation laws.
- Received 4 January 2000
DOI:https://doi.org/10.1103/PhysRevE.63.036101
©2001 American Physical Society