Heat conductivity of a perturbed monatomic Toda lattice without impurities

Abstract

The problem of thermal conduction in a perturbed one-dimensional Toda lattice is investigated within the framework of non-equilibrium thermodynamics. The intrinsic thermal resistance of the lattice is due to its anharmonicity with the dominant contributing mechanism involving soliton-phonon interactions. Our calculations indicate that the coefficient of heat conduction is exceedingly small at both very low and very high temperatures and exhibits an expected maximum in the intermediate temperature range.