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Absorbing state transition in a one-dimensional contact replication process.

S C Ferreira1

  • 1Departamento de Física, Universidade Federal de Viçosa, 36571-000, Viçosa, Minas Gerais, Brazil. silviojr@ufv.br

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 5, 2004
PubMed
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This study introduces a modified contact replication process (CRP) for monoclonal reproduction. The CRP shares critical exponents with the contact process, belonging to the directed percolation universality class.

Area of Science:

  • Statistical Mechanics
  • Complex Systems Modeling
  • Theoretical Physics

Background:

  • The contact process (CP) is a fundamental model in statistical mechanics.
  • Understanding systems with absorbing phase transitions is crucial for various scientific fields.

Purpose of the Study:

  • To introduce and analyze a modified contact replication process (CRP) for modeling monoclonal reproduction.
  • To investigate the absorbing state transition of the CRP.
  • To determine if the CRP belongs to the directed percolation universality class.

Main Methods:

  • Modification of the standard contact process (CP).
  • Analysis of occupation rates based on nearest-neighbor and next-nearest-neighbor interactions.
  • Application of cluster approximations.

Related Experiment Videos

  • Conducting Monte Carlo simulations.

    • Main Results:

    • The critical rate for the CRP (lambda(c) = 2.0263(4)) was found to be lower than that of the standard CP.
    • Critical exponents for the CRP were found to be in agreement with those of the CP.
    • The CRP was confirmed to belong to the directed percolation universality class.

    Conclusions:

    • The modified contact replication process (CRP) provides a new model for monoclonal reproduction.
    • Despite a different critical rate, the CRP shares universality with the standard contact process.
    • The CRP is a valuable addition to models within the directed percolation universality class.