Geodesic
Nonequilibrium thermodynamics of a gas of solitons of kink type in quasione-dimensional systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 1, pp. 46-60 
V. G. Bar'yakhtar; B. A. Ivanov; A. L. Sukstanskii; E. V. Tartakovskaya. Nonequilibrium thermodynamics of a gas of solitons of kink type in quasione-dimensional systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 74 (1988) no. 1, pp. 46-60. http://geodesic.mathdoc.fr/item/TMF_1988_74_1_a3/
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     title = {Nonequilibrium thermodynamics of a~gas of solitons of kink type in~quasione-dimensional systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A kinetic equation for solitons of kink type in quasione-dimensional systems is constructed. Calculations and a comparative analysis are made for the $\Phi^4$ and sine-Gordon models. For both models, possible mechanisms of relaxation of the soliton gas to equilibrium are pointed out, and the temperature dependence of the transport coefficients is found.

[1] P. Monceau (ed.), Electronic Properties of Inorganic Quasi-One-Dimensional Compounds, Part 1, D. Reidel Publishing Company, Dordrecht, 1985

[2] J. Bernasconi, T. Schneider (eds.), Physics in One Dimension, Springer, Berlin–Heidelberg–New York, 1981 | MR

[3] Bulaevskii L. N., UFN, 115 (1975), 263 | DOI

[4] Shneider T., Stoll E., Phys. Rev. Ser. B, 23 (1981), 4631 | DOI | MR

[5] Landau L. D., Lifshits E. M., Statisticheskaya fizika, Chast 1, Nauka, M., 1976 | MR

[6] Curie J. R., Krumhansl J. A., Bishop A. R., Trullinger S. E., Phys. Rev. Ser. B, 22 (1980), 477 | DOI | MR

[7] Krumhansl T. A., Shrieffer T. R., Phys. Rev. Ser. B, 11 (1975), 3535 | DOI

[8] Lisy V., Makhankov V. P., Fedyanin V. K., Dinamicheskie strukturnye faktory magnetika $\mathrm{CsNiF}_3$ i kontinualnaya model sinus-Gordon, Preprint OIYaI R17-85-410, OIYaI, Dubna, 1985

[9] Bogolyubov N. N., Krylov N. M., “K uravneniyu Fokkera-Planka”, Zapiski kafedry matematicheskoi fiziki, 4, 1939, 5

[10] Baryakhtar V. G., Baryakhtar I. V., Ivanov B. A., Sukstanskii A. L., “Kineticheskie svoistva solitonov, vzaimodeistvuyuschikh s termostatom”, Materialy II Mezhdunarodnogo simpoziuma po izbrannym problemam statisticheskoi mekhaniki (Dubna, 1981) ; Препринт ОИЯИ Д17-81-758, ОИЯИ, Дубна, 1981, С. 417–435. | Zbl

[11] Bar'yachtar V. G., Bar'yachtar I. V., Ivanov B. A., Sukstansky A. L., A Kinetic Equation for the Kink-Type Solitons, Preprint ITP-82-166E, ITP, Kiev, 1982 | MR

[12] Abyzov A. S., Ivanov B. A., ZhETF, 76 (1979), 1700

[13] Ivanov B. A., Mitsai Yu. N., Shakhova N. V., ZhETF, 87 (1984), 289

[14] Zuev A. V., Ivanov B. A., FTT, 22 (1980), 3

[15] Wada Y., Shrieffer T. R., Phys. Rev. Ser. B, 18 (1978), 3897 | DOI | MR

[16] Ishiuchi H., Wada Y., Progr. Theor. Phys., 69 (1980), 242 | DOI

[17] Kunz C., Phys. Rev. Ser. A, 34 (1986), 510 | DOI

[18] Kunz C., Phys. Rev. Ser. B, 34 (1986), 8144 | DOI

[19] Fermi E., Nauchnye trudy, T. II, Nauka, M., 1972

[20] Messia A., Kvantovaya mekhanika, T. 2, Nauka, M., 1979 | MR

[21] Akhiezer A. I., Peletminskii S. V., Metody statisticheskoi fiziki, Nauka, M., 1977 | MR

[22] Ivanov B. A., Sukstanskii A. L., O podvizhnosti domennykh granits v slabykh ferromagnetikakh, Preprint ITF-85-1R, ITF, Kiev, 1985