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Carlon E, Henkel M, Schollwöck U. Critical properties of the reaction-diffusion model 2A-->3A, 2A-->0. Phys Rev E Stat Nonlin Soft Matter Phys. 2001;63(3):036101doi: 10.1103/PhysRevE.63.036101.
Carlon, E., Henkel, M., & Schollwöck, U. (2001). Critical properties of the reaction-diffusion model 2A-->3A, 2A-->0. Physical review. E, Statistical, nonlinear, and soft matter physics, 63(3), 036101. https://doi.org/10.1103/PhysRevE.63.036101
Carlon, E, et al. "Critical properties of the reaction-diffusion model 2A-->3A, 2A-->0." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 63,3 (2001): 036101. doi: https://doi.org/10.1103/PhysRevE.63.036101
Carlon E, Henkel M, Schollwöck U. Critical properties of the reaction-diffusion model 2A-->3A, 2A-->0. Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Mar;63(3):036101. doi: 10.1103/PhysRevE.63.036101. Epub 2001 Feb 15. PMID: 11308703.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Mar;63(3):036101. doi: 10.1103/PhysRevE.63.036101. Epub 2001 Feb 15.

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

Physical review. E, Statistical, nonlinear, and soft matter physics

E Carlon, M Henkel, U Schollwöck

Affiliations

  1. Laboratoire de Physique des Matériaux, CNRS UMR 7556, Université Henri Poincaré Nancy I, Boîte Postale 239, F-54506 Vandoeuvre-les-Nancy Cedex, France.

PMID: 11308703 DOI: 10.1103/PhysRevE.63.036101

Abstract

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 2 and the model no longer shows DP critical behavior. The exponents theta=nu(parallel)/nu(perpendicular) and beta/nu(perpendicular) are calculated numerically. The value of beta/nu(perpendicular) is close to the value of the parity conserving universality class, in spite of the absence of local conservation laws.

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