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Dimensional Crossover by a Local Inhomogeneity in Soliton-Pair Nucleation

Takeo Kato
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Abstract

Soliton-pair nucleation rates Gamma = A exp(-B) are studied in highly-biased sine-Gordon systems with a local inhomogeneity for both a thermal activation regime and a quantum tunneling regime. It is found that the local inhomogeneity strongly affects the nucleation rates by modifying the bias-dependence of the exponent B. This change in the exponent B is explained as a dimensional crossover caused by the local inhomogeneity. It is also shown that there is another crossover, at which A becomes independent of the system size.

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Takeo Kato. 2000-04-04. Dimensional Crossover by a Local Inhomogeneity in Soliton-Pair Nucleation. https://doi.org/10.1143/jpsj.69.2735

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