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Cited by 517

The DOI matches its Crossref record; 33 of the 33 references it cites were found in a registry or an index.

Statistical mechanics of one-dimensional solitary-wave-bearing scalar fields: Exact results and ideal-gas phenomenology

Currie, J. F., Krumhansl, J. A., Bishop, A. R., Trullinger, S. E.·1980·Physical Review B
DOI 10.1103/physrevb.22.477
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Abstract

The statistical mechanics of one-dimensional scalar fields governed by nonlinear wave equations having solitary-wave (soliton) solutions are discussed in detail. Previously neglected "phase-shift" interactions between phonons and solitary waves (kinks) are taken into account and it is shown that these interactions provide the mechanism for sharing of energy and degrees of freedom among the "elementary" excitations of the nonlinear system. In particular, the ideal-gas phenomenology proposed by Krumhansl and Schrieffer for the $``{\ensuremath{\varphi}}^{4}''$ model is corrected and extended to the entire class of nonlinear Klein-Gordon models having solitary-wave solutions (e.g., ${\ensuremath{\varphi}}^{4}$, sine-Gordon, double-quadratic, etc.). By a comparison of the results of the phenomenological approach to those obtained via the exact transfer-operator method, it is found that the ideal-gas phenomenology gives exact results for the various low-temperature thermodynamic functions and correlation lengths.

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Metadata

Authors
Currie, J. F., Krumhansl, J. A., Bishop, A. R., & Trullinger, S. E.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
1980-07-15
Volume
22
Issue
2
Pages
477-496
ISSN
0163-1829 (ISSN-L)
DOI
10.1103/physrevb.22.477
OpenAlex
W1974753876
Cited by
517
References
33
FWCI
39.61
Type
journal article
Language
en
Open access
closed

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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