Studies of thermal conductivity in Fermi-Pasta-Ulam-like lattices

Year: 2005

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

Autors Affiliation: Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Istituto dei Sistemi Complessi CNR, Sez. Territoriale di Firenze, Largo E. Fermi 6, 50125 Firenze, Italy;
Dipartimento di Fisica, Via G. Sansone 1, 50019, Sesto Fiorentino (FI), Italy;
Istitituto Nazionale per la Fisica della Materia, UdR Firenze, Via G. Sansone 1, 50019, Sesto Fiorentino (FI), Italy

Abstract: The pioneering computer simulations of the energy relaxation mechanisms performed by Fermi, Pasta, and Ulam (FPU) can be considered as the first attempt of understanding energy relaxation and thus heat conduction in lattices of nonlinear oscillators. In this paper we describe the most recent achievements about the divergence of heat conductivity with the system size in one-dimensional (1D) and two-dimensional FPU-like lattices. The anomalous behavior is particularly evident at low energies, where it is enhanced by the quasiharmonic character of the lattice dynamics. Remarkably, anomalies persist also in the strongly chaotic region where long-time tails develop in the current autocorrelation
function. A modal analysis of the 1D case is also presented in order to gain further insight about the role played by boundary conditions.

Journal/Review: CHAOS

Volume: 15 (1)      Pages from: 15118-1  to: 15118-9

More Information: This work is granted by the INFM-PAIS project Transport phenomena in low-dimensional structures and is part of the PRIN2003 project Order and chaos in nonlinear estended systems funded by MIUR-Italy. We acknowledge a partial support from the EU network LOCNET, Contract No. HPRN-CT-1999-00163. Part of the numerical simulation were performed at CINECA supercomputing facility through the INFM Iniziativa trasversale “Calcolo Parallelo” entitled Simulating energy transport in low-dimensional systems.
KeyWords: ONE-DIMENSIONAL LATTICES; HEAT-CONDUCTION; ENERGY-TRANSPORT; RELAXATION; SYSTEMS
DOI: 10.1063/1.1854281

Citations: 55
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