| Numéro |
J. Phys. Colloques
Volume 42, Numéro C6, Décembre 1981
International Conference on Phonon Physics
|
|
|---|---|---|
| Page(s) | C6-314 - C6-316 | |
| DOI | https://doi.org/10.1051/jphyscol:1981691 | |
International Conference on Phonon Physics
J. Phys. Colloques 42 (1981) C6-314-C6-316
DOI: 10.1051/jphyscol:1981691
1 Institute of Physics, Bhubaneswar-751007, India
2 Department of Physics, Manchester University, Manchester, U.K.
J. Phys. Colloques 42 (1981) C6-314-C6-316
DOI: 10.1051/jphyscol:1981691
DYNAMICS AND THERMODYNAMICS OF A ONE DIMENSIONAL NON-LINEAR LATTICE IN THE CONTINUUM LIMIT
S.N. Behera1 et A. Khare21 Institute of Physics, Bhubaneswar-751007, India
2 Department of Physics, Manchester University, Manchester, U.K.
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.