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Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
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Published on: August 30, 2013

Quadratic contact process: phase separation with interface-orientation-dependent equistability.

Da-Jiang Liu1, Xiaofang Guo, J W Evans

  • 1Ames Laboratory, U.S. Department of Energy, Ames, Iowa 50011-3020, USA.

Physical Review Letters
|March 16, 2007
PubMed
Summary
This summary is machine-generated.

This study models a quadratic contact process with specific adsorption and desorption rules. It reveals a discontinuous phase transition with interface-dependent equistability, unlike equilibrium systems.

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Area of Science:

  • Statistical Physics
  • Complex Systems Modeling

Background:

  • The quadratic contact process is a key model in statistical physics.
  • Understanding phase transitions in non-equilibrium systems is crucial.

Purpose of the Study:

  • To investigate a quadratic contact process model on a square lattice.
  • To analyze phase transitions and coexistence phenomena.

Main Methods:

  • Implementation of the quadratic contact process on a square lattice.
  • Modeling random adsorption and correlated desorption with specific neighbor requirements.

Main Results:

  • The model exhibits a discontinuous phase transition between active and absorbing states.
  • Equistability between states depends on interface orientation.
  • Phase coexistence occurs in a finite region of the parameter space.

Conclusions:

  • The observed phase behavior is distinct from equilibrium systems.
  • Interface orientation plays a critical role in non-equilibrium phase transitions.