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Eckmann, J.P., Pillet, C.A. and Rey-Bellet L. (1999) Non-Equilibrium Statistical Mechanics of Anharmonic Chain Coupled to Two Heat Baths at Different Temperatures. Communications in Mathematical Physics, 201, 657.

has been cited by the following article:

• 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.