Self-Consistent Mode-Coupling Approach to 1D Heat Transport

Details Self-Consistent Mode-Coupling Approach to 1D Heat Transport Self-Consistent Mode-Coupling Approach to 1D Heat Transport

2006-03-06

arxiv.org/abs/cond-mat/0603129v1

Physics

Condensed Matter

Statistical Mechanics

Submitted to Physical Review E

Scientific paper

10.1103/PhysRevE.73.060201

In the present Letter we present an analytical and numerical solution of the self-consistent mode-coupling equations for the problem of heat conductivity in one-dimensional systems. Such a solution leads us to propose a different scenario to accomodate the known results obtained so far for this problem. More precisely, we conjecture that the universality class is determined by the leading order of the nonlinear interaction potential. Moreover, our analysis allows us determining the memory kernel, whose expression puts on a more firm basis the previously conjectured connection between anomalous heat conductivity and anomalous diffusion.

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