TITLE:
Solitons and Heat Transfer in Nonlinear Lattices with Cubic On-Site and Quartic Interaction Potentials
AUTHORS:
Rovinita Perseus, M. M. Latha
KEYWORDS:
Soliton, Nonlinear Lattice, Inhomogeneity
JOURNAL NAME:
Open Access Library Journal,
Vol.1 No.6,
September
26,
2014
ABSTRACT: This paper deals with the transfer of soliton-like heat waves in nonlinear lattices with cubic on-site potential and quartic interparticle interaction potential. A model Hamiltonian was proposed using the second quantized operators and the same was averaged using a suitable wavefunction. The equations were derived numerically in the discrete form for the field amplitude. Moreover the resulting equations were analyzed analytically using the continuous approximation technique and the properties of heat transfer were examined theoretically.