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HOME > JOURNALS BY SUBJECT > NONLINEAR SCIENCE > IJBC
International Journal of Bifurcation and Chaos (IJBC)
in Applied Sciences and Engineering
Current Issue | 2009 | 2008 | 2007 | All Volumes (1991-2009)

Volume: 18, Issue: 12(2008) pp. 3815-3823     DOI: 10.1142/S0218127408022767
Abstract | Full Text (PDF, 1,767KB) | References
Title: THERMAL SOLITONS AND SOLECTRONS IN 1D ANHARMONIC LATTICES UP TO PHYSIOLOGICAL TEMPERATURES
Author(s):
M. G. VELARDE
Instituto Pluridisciplinar, Universidad Complutense de Madrid, Paseo Juan XXIII, 1, Madrid-28040, Spain

W. EBELING
Instituto Pluridisciplinar, Universidad Complutense de Madrid, Paseo Juan XXIII, 1, Madrid-28040, Spain

A. P. CHETVERIKOV
Instituto Pluridisciplinar, Universidad Complutense de Madrid, Paseo Juan XXIII, 1, Madrid-28040, Spain
History:
Received April 29, 2008
Revised July 18, 2008
Abstract:
We study the thermal excitation of solitons in 1D Toda–Morse lattices in a wide range of temperatures from zero up to physiological level (about 300 K) and their influence on added excess electrons moving on the lattice. The lattice units are treated by classical Langevin equations. The electron distributions are in a first estimate represented by equilibrium adiabatic distributions in the actual fields. Further, the electron dynamics is modeled in the framework of the tight-binding approximation including on-site energy shifts due to electron-lattice coupling and stochastic hopping between the sites. We calculate the electron distributions and discuss the excitations of solectron type (electron-soliton dynamic bound states) and estimate their life times.
Keywords:
Anharmonicity; Morse interactions; lattice solitons; solectrons; hopping conduction

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