Thermal nucleation of kink-antikink pairs in the presence of impurities: The case of a Remoissenet-Peyrard substrate potential

Rosalie Laure Woulaché, David Yemélé, and Timoléon C. Kofané
Phys. Rev. E 72, 031604 – Published 19 September 2005

Abstract

Thermal nucleation of kink-antikink pairs in a nonlinear Klein-Gordon (NKG) model with a Remoissenet-Peyrard (RP) substrate potential in the presence of impurities and coupled to an applied field is analyzed in the limits of moderate temperature and strong damping. Using the Kolmogorov method, the average velocity of particles of the lattice is calculated and its dependence on the intensity of impurities is discussed in connection with the deformability parameter or the shape of the RP substrate potential. Numerical values are carried out by making use of parameters of the hydrogen atom adsorbed in the tungsten and ruthenium substrates. We show that, for large values of the applied field, the presence of impurities in the system makes the nucleation process of kink-antikink pairs more favorable in the high-temperature regime while they contribute to make it less favorable in the low-temperature regime.

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  • Received 11 August 2004

DOI:https://doi.org/10.1103/PhysRevE.72.031604

©2005 American Physical Society

Authors & Affiliations

Rosalie Laure Woulaché1,4, David Yemélé2, and Timoléon C. Kofané1,3,4

  • 1Laboratoire de Mécanique. Département de Physique. Faculté des Sciences. Université de Yaoundé I. B.P. 812, Yaoundé, Cameroun
  • 2Département de Physique. Faculté des Sciences. Université de Dschang. B.P. 67, Dschang, Cameroun
  • 3Max-Planck-Institute for the Physics of complex systems, Noethnitzer Strasse 38, D-01187 Dresden, Germany
  • 4The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, I-34014 Triste, Italy

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Issue

Vol. 72, Iss. 3 — September 2005

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