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Anomalous transport and relaxation in classical one-dimensional models

Lepri, Stefano; Delfini, L.; Livi, Roberto; Basile, Giada; Olla, Stefano (2007), Anomalous transport and relaxation in classical one-dimensional models, European Journal of Physics, 151, p. 85-93. http://dx.doi.org/10.1140/epjst/e2007-00364-7

Type
Article accepté pour publication ou publié
Date
2007
Journal name
European Journal of Physics
Volume
151
Publisher
Springer
Pages
85-93
Publication identifier
http://dx.doi.org/10.1140/epjst/e2007-00364-7
Metadata
Show full item record
Author(s)
Lepri, Stefano
Delfini, L.
Livi, Roberto
Basile, Giada
Olla, Stefano cc
Abstract (EN)
After reviewing the main features of anomalous energy transport in 1D systems, we report simulations performed with chains of noisy anharmonic oscillators. The stochastic terms are added in such a way to conserve total energy and momentum, thus keeping the basic hydrodynamic features of these models. The addition of this "conservative noise" allows to obtain a more efficient estimate of the power-law divergence of heat conductivity $\kappa(L) \sim L^{\alpha}$ in the limit of small noise and large system size L. By comparing the numerical results with rigorous predictions obtained for the harmonic chain, we show how finite-size and time effects can be effectively controlled. For low noise amplitudes, the $\alpha$ values are close to 1/3 for asymmetric potentials and to 0.4 for symmetric ones. These results support the previously conjectured two-universality-classes scenario.
Subjects / Keywords
Energy transfer; Transport theory

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