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Dynamics of kinks: nucleation, diffusion, and annihilation

Habib1, Lythe

  • 1T-8, Theoretical Division, MS B285, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.

Physical Review Letters
|October 4, 2000
PubMed
Summary

We studied kink dynamics in phi(4) field theory at finite temperature. Nucleation rates depend on kink density, and we identified two distinct annihilation time scales for kinks and antikinks.

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Area of Science:

  • Classical field theory
  • Statistical mechanics
  • Nonlinear dynamics

Background:

  • Kinks are topological defects in field theories.
  • Their behavior at finite temperatures is crucial for understanding phase transitions and system dynamics.
  • Previous studies often focused on idealized conditions, neglecting thermal effects.

Purpose of the Study:

  • To investigate the nucleation, annihilation, and dynamics of kinks in a (1+1)-dimensional phi(4) field theory at finite temperature.
  • To quantify the relationship between nucleation rate and kink density.
  • To differentiate and model various kink annihilation mechanisms.

Main Methods:

  • Large-scale Langevin simulations were employed to model the system.
  • A mesoscopic model of diffusing kinks was developed, categorizing them into 'paired' and 'survivor' types.
  • Analytical predictions were derived and compared against simulation results.

Main Results:

  • The nucleation rate of kinks was found to be proportional to the square of the equilibrium kink density.
  • Two distinct annihilation time scales were identified: one for kink-antikink recombination and another for nonrecombinant annihilation.
  • The mesoscopic model accurately predicted dynamical and length scales observed in simulations.

Conclusions:

  • Finite temperature significantly influences kink dynamics in phi(4) theory.
  • The study provides a quantitative understanding of kink nucleation and annihilation processes.
  • The developed mesoscopic model offers a valuable tool for analyzing complex defect dynamics in similar systems.

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