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On the rate theory for thermal soliton generation

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  • Wonneberger, W.

Abstract

The use of absolute rate theory is suggested for a simple description of the dynamics of thermally generated solitons in the underdamped regime. Rate theory is reformulated to describe thermal transitions between continuous states of nonlinear wave equations emphasizing the soliton or pseudoparticle interpretation. The final rate expression, which applies also to metastable states, is compared with that for the decay of unstable vacua in quantum field theory. As an example, the thermal generation rate of distant kink pairs on the Sine Gordon chain is calculated exactly and also within the semiclassical approximation.

Suggested Citation

  • Wonneberger, W., 1980. "On the rate theory for thermal soliton generation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 103(3), pages 543-557.
    • Handle: RePEc:eee:phsmap:v:103:y:1980:i:3:p:543-557
    DOI: 10.1016/0378-4371(80)90024-2
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    1. Edmond Langer, 1966. "The ECONOMIC IMPORTANCE OF PUBLIC ENTERPRISE IN BELGIUM," Annals of Public and Cooperative Economics, Wiley Blackwell, vol. 37(1), pages 65-76, January.
    2. Schiller Otto, 1966. "Die Genossenschaften im Rahmen der politischen Ordnung," Zeitschrift für das gesamte Genossenschaftswesen, De Gruyter, vol. 16(1), pages 20-30, September.
    3. Halperin, Morton H., 1970. "How Communist China Negotiates. By Arthur Lall. (New York: Columbia University Press, 1968. Pp. 284. $7.95.) - Negotiating with the Chinese Communists: The United States Experience, 1953–1967. By Kenn," American Political Science Review, Cambridge University Press, vol. 64(1), pages 205-207, March.
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