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

DOI: 10.4236/oalib.1100822   PDF        1,300 Downloads   1,717 Views  


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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.


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