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Phys. Rev. B 72, 054301 (2005) [13 pages]

Low-temperature statistical mechanics of kink-bearing systems with a Remoissenet-Peyrard substrate potential: Influence of anharmonic interactions

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David Yemélé1,* and Timoléon C. Kofané2
1Département de Physique, Faculté des Sciences, Université de Dschang, BP 067 Dschang, Cameroun
2Laboratoire de Mécanique, Faculté des Sciences, Université de Yaoundé I, BP 812 Yaoundé, Cameroun

Received 13 October 2004; revised 3 December 2004; published 9 August 2005

The low-temperature statistical mechanics of one-dimensional nonlinear Klein-Gordon with anharmonic interparticle interaction subject to the Remoissenet-Peyrard substrate potential is studied by means of the transfer integral method. We show that the quantitative effects of the anharmonicity of the interparticle pair potential to the thermodynamic properties of the system are controlled by temperature. They are negligible for very low temperatures and become more and more important as the temperature increases. Furthermore, the first lattice corrections to the thermodynamic quantities are temperature dependent and are sensitive to the deformability of the system.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.72.054301
DOI:
10.1103/PhysRevB.72.054301
PACS:
05.20.−y, 05.90.+m

*Electronic address: dyemele@yahoo.fr