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Prog. Theor. Phys. Vol. 85 No. 6 (1991) pp. 1203-1210
Nonexactness of the Soliton-Phonon Theory for the Classical Statistical Mechanics of the Sine-Gordon Model
S. G. Chung
Department of Physics, Western Michigan University,
Kalamazoo, Michigan 49008-5151
(Received June 29, 1990)
Abstract:
The soliton-phonon theory of Johnson et al. and Timonen et al. for the classical statistical mechanics of the sine-Gordon model is examined analytically and numerically. It is demonstrated that the soliton-phonon theory is not more than a good approximation in the low reduced temperature regime.
URL :
http://ptp.ipap.jp/link?PTP/85/1203/
DOI : 10.1143/PTP.85.1203
References:
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J. Timonen, M. Stirland, D. J. Pilling, Yi. Cheng and R. K. Bullough, Phys. Rev. Lett. 56 (1986), 2233[APS].
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S. G. Chung, Phys. Rev. Lett. 62 (1989), 708[APS]. The theory and the equivalent (in a certain \hbar→0 limit) gas-phenomenological theory of Sasaki,3) however, have been pointed out to be correct only in a large t regime.4)
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K. Sasaki, Phys. Rev. B33 (1986), 2214[APS].
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S. G. Chung, J. of Phys. A23 (1990), L1241[IoP STACKS].
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M. D. Johnson, N.-N. Chen and M. Fowler, Phys. Rev. B34 (1986), 7851[APS].
- S. G. Chung, Phys. Lett. 89A (1982), 363.
- K. Sasaki, Prog. Theor. Phys. 68 (1982), 411[PTP].
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T. Schneider and E. Stoll, Phys. Rev. B22 (1980), 5317[APS].
- M. Abramowitz and I. A. Stegun (ed.), Handbook of Mathematical Functions, Applied Mathematical Series 55 (National Bureau of Standards, Washington, 1972), chap. 20.
Citing Article(s) :
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Progress of Theoretical Physics Vol. 88 No. 1 (1992) pp. 29-33
:
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Exact Solution of the Soliton-Phonon Theory for the Classical Sine-Gordon Thermodynamics
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S.G. Chung
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Progress of Theoretical Physics Vol. 90 No. 4 (1993) pp. 835-840
:
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Exact Soliton-Breather Theory for the Classical Statistical Mechanics of the Massive-Thirring=Sine-Gordon Model
-
S.G. Chung
