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Nonequilibrium first-order phase transition induced by additive noise.

A A Zaikin1, J García-Ojalvo, L Schimansky-Geier

  • 1Institute of Physics, University of Potsdam, Am Neuen Palais 10, 14469 Potsdam, Germany.

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

Additive noise can induce a nonequilibrium first-order phase transition in nonlinear systems. This study confirms theoretical predictions with numerical simulations, providing a physical mechanism for this noise-induced transition.

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Area of Science:

  • Statistical Physics
  • Nonlinear Dynamics
  • Complex Systems

Background:

  • Phase transitions typically occur in equilibrium systems.
  • Understanding nonequilibrium phenomena is crucial for complex systems.
  • Noise is often considered a disruptive factor in physical systems.

Purpose of the Study:

  • To investigate the induction of a nonequilibrium first-order phase transition.
  • To explore the role of additive noise in driving such transitions.
  • To provide a physical model and explanation for noise-induced transitions.

Main Methods:

  • Utilizing a nonlinear lattice model of overdamped oscillators.
  • Incorporating both additive and multiplicative noise terms.
  • Employing mean field theory and numerical simulations for validation.

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Main Results:

  • Demonstrated that additive noise can indeed induce a first-order phase transition under nonequilibrium conditions.
  • Numerical simulations successfully validated the predictions derived from mean field theory.
  • A clear physical mechanism underlying the noise-induced transition was elucidated.

Conclusions:

  • Additive noise is a viable mechanism for inducing nonequilibrium phase transitions.
  • The nonlinear lattice model effectively captures this phenomenon.
  • The findings offer insights into the behavior of complex systems driven by noise.