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Pair contact process in two dimensions.

J Kamphorst Leal Da Silva1, R Dickman

  • 1Departmento de Física, Universidade Federal de Minas Gerais, Caixa Postal 702, 30161-970 Belo Horizonte-MG, Brazil. jaff@fisica.ufmg.br

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
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We investigated a two-dimensional pair contact process model. Monte Carlo simulations revealed its static critical properties align with the directed percolation universality class.

Area of Science:

  • Statistical Physics
  • Complex Systems Modeling

Background:

  • The two-dimensional pair contact process is a nonequilibrium lattice model.
  • This model exhibits a phase transition to an absorbing state with diverse configurations.

Purpose of the Study:

  • To determine the critical probability and static critical exponents of the model.
  • To analyze order-parameter moment ratios and initial density decay scaling.

Main Methods:

  • Monte Carlo simulations were employed.
  • Analysis included order-parameter moment ratios and initial density decay.

Main Results:

  • The critical probability and static critical exponents were determined.
  • The study identified the directed percolation universality class.

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Conclusions:

  • The static critical properties of the two-dimensional pair contact process belong to the directed percolation universality class.