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Title: Dynamics of Kinks: Nucleation, Diffusion, and Annihilation

Abstract

We investigate the nucleation, annihilation, and dynamics of kinks in a classical (1+1)-dimensional {phi}{sup 4} field theory at finite temperature. From large scale Langevin simulations, we establish that the nucleation rate is proportional to the square of the equilibrium density of kinks. We identify two annihilation time scales: one due to kink-antikink pair recombination after nucleation, the other from nonrecombinant annihilation. We introduce a mesoscopic model of diffusing kinks based on ''paired'' and ''survivor'' kinks and antikinks. Analytical predictions for the dynamical time scales, as well as the corresponding length scales, are in good agreement with the simulations. (c) 2000 The American Physical Society.

Authors:
 [1];  [2]
  1. T-8, Theoretical Division, MS B285, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
  2. Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
Publication Date:
OSTI Identifier:
20215523
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 84; Journal Issue: 6; Other Information: PBD: 7 Feb 2000; Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; PHI4-FIELD THEORY; NUCLEATION; ANNIHILATION; LANGEVIN EQUATION; STATISTICAL MECHANICS; PHASE TRANSFORMATIONS; DIFFUSION; THEORETICAL DATA

Citation Formats

Habib, Salman, and Lythe, Grant. Dynamics of Kinks: Nucleation, Diffusion, and Annihilation. United States: N. p., 2000. Web. doi:10.1103/PhysRevLett.84.1070.
Habib, Salman, & Lythe, Grant. Dynamics of Kinks: Nucleation, Diffusion, and Annihilation. United States. https://doi.org/10.1103/PhysRevLett.84.1070
Habib, Salman, and Lythe, Grant. Mon . "Dynamics of Kinks: Nucleation, Diffusion, and Annihilation". United States. https://doi.org/10.1103/PhysRevLett.84.1070.
@article{osti_20215523,
title = {Dynamics of Kinks: Nucleation, Diffusion, and Annihilation},
author = {Habib, Salman and Lythe, Grant},
abstractNote = {We investigate the nucleation, annihilation, and dynamics of kinks in a classical (1+1)-dimensional {phi}{sup 4} field theory at finite temperature. From large scale Langevin simulations, we establish that the nucleation rate is proportional to the square of the equilibrium density of kinks. We identify two annihilation time scales: one due to kink-antikink pair recombination after nucleation, the other from nonrecombinant annihilation. We introduce a mesoscopic model of diffusing kinks based on ''paired'' and ''survivor'' kinks and antikinks. Analytical predictions for the dynamical time scales, as well as the corresponding length scales, are in good agreement with the simulations. (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevLett.84.1070},
url = {https://www.osti.gov/biblio/20215523}, journal = {Physical Review Letters},
issn = {0031-9007},
number = 6,
volume = 84,
place = {United States},
year = {2000},
month = {2}
}