Dimensional Crossover by a Local Inhomogeneity in Soliton-Pair Nucleation

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.

arXiv comment5 pages including 3 figures and 1 table, submitted to J. Phys. Soc. Jpn

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