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:
-
- T-8, Theoretical Division, MS B285, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
- 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. 2000.
"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 = {Mon Feb 07 00:00:00 EST 2000},
month = {Mon Feb 07 00:00:00 EST 2000}
}
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