Self-consistent mode-coupling approach to one-dimensional heat transport

Year: 2006

Authors: Delfini L., Lepri S., Livi R., Politi A.

Autors Affiliation: CNR – Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Istituto dei Sistemi Complessi, CNR, via Madonna del Piano 10, 50019 Sesto Fiorentino (FI), Italy;
Dipartimento di Fisica, Via G, Sansone 1, 50019, Sesto Fiorentino (FI), Italy

Abstract: In the present Rapid Communication 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 accommodate 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 to determine the memory kernel, whose expression puts on a more firm basis the previously conjectured connection between anomalous heat conductivity and anomalous diffusion.

Journal/Review: PHYSICAL REVIEW E

Volume: 73 (6)      Pages from: 60201-1  to: 60201-4

KeyWords: Molecular-dynamics Simulation; Thermal-conductivity; Diffusion; Relaxation; Chains
DOI: 10.1103/PhysRevE.73.060201

Citations: 84
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