Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-10-21
Chaos 15, 015118 (2005)
Physics
Condensed Matter
Statistical Mechanics
Invited article to appear in the Chaos focus issue on "Studies of Nonlinear Problems. I" by Enrico Fermi, John Pasta, and Stan
Scientific paper
10.1063/1.1854281
The pioneering computer simulations of the energy relaxation mechanisms performed by Fermi, Pasta and Ulam 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 1d and 2d FPU-like lattices. The anomalous behavior is particularly evident at low energies, where it is enhanced by the quasi-harmonic character of the lattice dynamics. Remakably, 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.
Lepri Stefano
Livi Roberto
Politi Antonio
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