Volume 62, Number 3, May 2003
|Page(s)||363 - 369|
|Section||Condensed matter: structure, mechanical and thermal properties|
|Published online||01 April 2003|
The kink-counting problem: Equilibrium densities and nucleation rates
Dipartimento di Fisica, Università di
Perugia - I-06123 Perugia, Italy
2 Frontier Research System, RIKEN - Wako, Saitama 351-0198, Japan
3 Istituto Nazionale di Fisica della Materia, Università di Camerino I-62032 Camerino, Italy
Accepted: 25 February 2003
The longstanding problem of thermal pair nucleation in the presence of global reflection symmetry (viz. no external biases) is investigated numerically for a classical string coupled to a viscous heat bath. Our numerics agree within a few percent with the theoretical estimates for the low-temperature kink (antikink) density; as a result, finite-temperature corrections could be assessed quantitatively. More importantly, the relevant pair nucleation rates, too, have been computed numerically, thus confirming the predictions of the kinetic model: Local symmetry breaking by pre-existing kinks (antikinks) assists the nucleation of new kink-antikink pairs in the stationary regime and determines their lifetime.
PACS: 61.72.-y – Defects and impurities in crystals; microstructure / 05.45.Yv – Solitons / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EDP Sciences, 2003
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