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Contact process on a Voronoi triangulation.

Marcelo M de Oliveira1, S G Alves, S C Ferreira

  • 1Departamento de Física, Universidade Federal de Viçosa, 36571-000, Viçosa, MG, Brazil. mancebo@fisica.ufmg.br

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 15, 2008
PubMed
Summary
This summary is machine-generated.

We investigated the absorbing-state phase transition in disordered contact processes. Results show quenched disorder does not alter critical behavior, aligning with directed percolation models.

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Area of Science:

  • Statistical Physics
  • Complex Systems
  • Network Science

Background:

  • The contact process models phenomena like epidemic spreading.
  • Absorbing-state phase transitions are critical points where systems change state.
  • Voronoi-Delaunay lattices introduce quenched disorder.

Purpose of the Study:

  • To analyze the continuous absorbing-state phase transition in a contact process on a disordered lattice.
  • To determine if quenched disorder affects critical behavior.

Main Methods:

  • Simulations using the quasistationary method.
  • Analysis of critical exponents and moment ratios.
  • Comparison with regular lattice models.

Main Results:

  • The disordered system exhibits critical behavior consistent with directed percolation.
  • Critical exponents and moment ratios remain unchanged by disorder.
  • The Voronoi construction effectively models quenched disorder.

Conclusions:

  • Quenched disorder in the contact process on a Voronoi-Delaunay lattice does not change the universality class.
  • The system's critical behavior is robust and similar to that on regular lattices.