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Solitons and Heat Transfer in Nonlinear Lattices with Cubic On-Site and Quartic Interaction Potentials

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DOI: 10.4236/oalib.1100822    1,237 Downloads   1,609 Views  

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Perseus, R. and Latha, M. (2014) Solitons and Heat Transfer in Nonlinear Lattices with Cubic On-Site and Quartic Interaction Potentials. Open Access Library Journal, 1, 1-10. doi: 10.4236/oalib.1100822.

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