Phase transitions of the binary production 2A → 3A, 4A → ∅ model

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Abstract

The phase transitions of a reaction-diffusion model was discussed. The explicit diffusion of isolated particles and site occupation restriction was exhibited by the model. It was shown that the universal behavior of the phase transitions was in agreement with that of the diffusive pair contact process model. It was found that for high diffusion rates the effective reactions of the model became irrelevent and a mean-field transition was exhibited by the model.

Original languageEnglish
Article number036112
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume69
Issue number3 2
DOIs
Publication statusPublished - Mar 2004

Fingerprint

Phase Transition
Binary
Contact Process
Reaction-diffusion Model
Mean Field
Process Model
Model
Restriction
occupation
constrictions

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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title = "Phase transitions of the binary production 2A → 3A, 4A → ∅ model",
abstract = "The phase transitions of a reaction-diffusion model was discussed. The explicit diffusion of isolated particles and site occupation restriction was exhibited by the model. It was shown that the universal behavior of the phase transitions was in agreement with that of the diffusive pair contact process model. It was found that for high diffusion rates the effective reactions of the model became irrelevent and a mean-field transition was exhibited by the model.",
author = "G. {\'O}dor",
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