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Solitary heat waves in nonlinear lattices with squared on-site potential

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Abstract

A model Hamiltonian is proposed for heat conduction in a nonlinear lattice with squared on-site potential using the second quantized operators and averaging the same using a suitable wave function, equations are derived in discrete form for the field amplitude and the properties of heat transfer are examined theoretically. Numerical analysis shows that the propagation of heat is in the form of solitons. Furthermore, a systemized version of tanh method is carried out to extract solutions for the resulting nonlinear equations in the continuum case and the effect of inhomogeneity is studied for different temperatures.

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Acknowledgement

The work of M M Latha forms part of a major research project sponsored by University Grants Commission (UGC) (F. No. 38-265/2009(SR)), India.

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Authors and Affiliations

  1. Women’s Christian College, Nagercoil, 629 001, India

    ROVINITA PERSEUS & M M LATHA

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  1. ROVINITA PERSEUS
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  2. M M LATHA
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Correspondence to ROVINITA PERSEUS.

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PERSEUS, R., LATHA, M.M. Solitary heat waves in nonlinear lattices with squared on-site potential. Pramana - J Phys 80, 1017–1030 (2013). https://doi.org/10.1007/s12043-013-0541-4

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