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Binary spreading process with parity conservation

Kwangho Park, Haye Hinrichsen, and In-mook Kim
Phys. Rev. E 63, 065103(R) – Published 25 May 2001
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Abstract

Recently there has been a debate concerning the universal properties of the phase transition in the pair contact process with diffusion (PCPD) 2A3A, 2A0. Although some of the critical exponents seem to coincide with those of the so-called parity-conserving universality class, it was suggested that the PCPD might represent an independent class of phase transitions. This point of view is motivated by the argument that the PCPD does not conserve parity of the particle number. In the present work we question what happens if the parity conservation law is restored. To this end, we consider the reaction-diffusion process 2A4A, 2A0. Surprisingly, this process displays the same type of critical behavior, leading to the conclusion that the most important characteristics of the PCPD is the use of binary reactions for spreading, regardless of whether parity is conserved or not.

  • Received 19 January 2001

DOI:https://doi.org/10.1103/PhysRevE.63.065103

©2001 American Physical Society

Authors & Affiliations

Kwangho Park1,2, Haye Hinrichsen3, and In-mook Kim2

  • 1Theoretische Physik, Fachbereich 10, Gerhard-Mercator-Universität Duisburg, 47048 Duisburg, Germany
  • 2Department of Physics, Korea University, Seoul, 136-701, Korea
  • 3Theoretische Physik, Fachbereich 8, Universität GH Wuppertal, 42097 Wuppertal, Germany

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Vol. 63, Iss. 6 — June 2001

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