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Dynamic behavior of driven interfaces in models with two absorbing states.

S Kwon1, W Hwang, H Park

  • 1Department of Physics, Inha University, Inchon 402-751, Korea.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
Summary

We investigated interface dynamics in one-dimensional models, revealing a discontinuous jump in interface velocity at critical points due to finite relaxation times. This study explores transitions between directed Ising and directed percolation universality classes.

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Area of Science:

  • Statistical Physics
  • Complex Systems

Background:

  • Interface dynamics in systems with absorbing states are crucial for understanding phase transitions.
  • Probabilistic cellular automata and monomer-dimer models exhibit continuous transitions to absorbing phases belonging to the directed Ising (DI) universality class.

Purpose of the Study:

  • To analyze the behavior of an interface driven by a symmetry-breaking field in one-dimensional systems.
  • To investigate the crossover between the directed Ising and directed percolation universality classes.

Main Methods:

  • Monte Carlo simulations were employed to study the interface dynamics.
  • Analysis of interface spreading velocity and width under varying conditions.

Main Results:

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  • In the active phase, the interface spreads ballistically, with width diverging linearly in time.
  • A symmetry-breaking field induces asymmetric interface motion, leading to a discontinuous jump in velocity at criticality.
  • The scaling dimension of the symmetry-breaking field was determined to be y(h)=1.21(5).

    • Conclusions:

    • Finite relaxation times in the absorbing phase explain the unusual discontinuous velocity jump.
    • The study elucidates the crossover dynamics from the directed Ising to the directed percolation universality classes.