Phase transition of a two-dimensional binary spreading model

G. Ódor, M. C. Marques, M. A. Santos

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

We investigated the phase transition behavior of a binary spreading process in two dimensions for different particle diffusion strengths (D), We found that N>2 cluster mean-field approximations must be considered to get consistent singular behavior. The D=3,4 approximations result in a continuous phase transition belonging to a single universality class along the D ∈ (0,1) phase transition line. Large scale simulations of the particle density confirmed mean-field scaling behavior with logarithmic corrections. This is interpreted as numerical evidence supporting the bosonic field theoretical prediction that the upper critical dimension in this model is dc=2. The pair density scales in a similar way but with an additional logarithmic factor to the order parameter. At the D = 0 end point of the transition line we found directed percolation criticality.

Original languageEnglish
Article number056113
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume65
Issue number5
DOIs
Publication statusPublished - May 2002

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Phase Transition
Binary
Logarithmic
Directed Percolation
Line
Mean-field Approximation
Critical Dimension
Scaling Behavior
Criticality
End point
Order Parameter
Mean Field
particle diffusion
Universality
Two Dimensions
approximation
Model
Prediction
Approximation
scaling

ASJC Scopus subject areas

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

Cite this

Phase transition of a two-dimensional binary spreading model. / Ódor, G.; Marques, M. C.; Santos, M. A.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 65, No. 5, 056113, 05.2002.

Research output: Contribution to journalArticle

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