Dynamics and thermodynamics of a one dimensional non-linear lattice in the continuum limit

Behera, S. N. ; Khare, A. (1981) Dynamics and thermodynamics of a one dimensional non-linear lattice in the continuum limit Journal de Physique. Colloques, 42 . C6_314-C6_316. ISSN 0449-1947

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Official URL: http://dx.doi.org/10.1051/jphyscol:1981691

Related URL: http://dx.doi.org/10.1051/jphyscol:1981691

Abstract

The dynamics of a non-linear one dimensional lattice, with the on-site potential V(φ) = (ξ2/8) Cosn 4φ-ξ Cosh 2φ-(ξ2/8) is considered in the continuum limit. Exact classical kink solutions are obtained; for ξ<2, in which case the potential has the double well form. The free energy of the system is calculated using the ground state eigen value of the Schrodinger like equation for this potential.

Item Type:Article
Source:Copyright of this article belongs to Les E'ditions de physique, Les Ulis, France.
ID Code:82081
Deposited On:09 Feb 2012 09:48
Last Modified:09 Feb 2012 09:48

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