Anomalous heat transport in one-dimensional many-particles models
S. Lepri. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Abstract
Physical phenomena in reduced spatial dimension (D=1,2) are
often qualitatively different from their three-dimensional
counterparts due to the overwhelming role of statistical
fluctuations.
An important example is the anomalous heat conduction in 1D
many-particle systems. More specifically, anomalous behaviour
manifests as (i) a divergence of the finite-size thermal
conductivity as a power of the system length; (ii) a nonintegrable
long-time tail of the energy current correlator
(the Green-Kubo integrand); (iii) the anomalous diffusion of
energy flucuations (Levy walks). Simulations and theoretical
arguments indicate that anomalies should occur generically
in D=1 whenever momentum is conserved. Universal aspects
are discussed in the framework of mode-coupling theory describing
nonlinear interactions among long-wavelength fluctuations.
%0 Book Section
%1 statphys23_0307
%A Lepri, S.
%B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics
%C Genova, Italy
%D 2007
%E Pietronero, Luciano
%E Loreto, Vittorio
%E Zapperi, Stefano
%K anomalous one-dimensional statphys23 systems topic-3 transport
%T Anomalous heat transport in one-dimensional many-particles models
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=307
%X Physical phenomena in reduced spatial dimension (D=1,2) are
often qualitatively different from their three-dimensional
counterparts due to the overwhelming role of statistical
fluctuations.
An important example is the anomalous heat conduction in 1D
many-particle systems. More specifically, anomalous behaviour
manifests as (i) a divergence of the finite-size thermal
conductivity as a power of the system length; (ii) a nonintegrable
long-time tail of the energy current correlator
(the Green-Kubo integrand); (iii) the anomalous diffusion of
energy flucuations (Levy walks). Simulations and theoretical
arguments indicate that anomalies should occur generically
in D=1 whenever momentum is conserved. Universal aspects
are discussed in the framework of mode-coupling theory describing
nonlinear interactions among long-wavelength fluctuations.
@incollection{statphys23_0307,
abstract = {Physical phenomena in reduced spatial dimension (D=1,2) are
often qualitatively different from their three-dimensional
counterparts due to the overwhelming role of statistical
fluctuations.
An important example is the anomalous heat conduction in 1D
many-particle systems. More specifically, anomalous behaviour
manifests as (i) a divergence of the finite-size thermal
conductivity as a power of the system length; (ii) a nonintegrable
long-time tail of the energy current correlator
(the Green-Kubo integrand); (iii) the anomalous diffusion of
energy flucuations (Levy walks). Simulations and theoretical
arguments indicate that anomalies should occur generically
in D=1 whenever momentum is conserved. Universal aspects
are discussed in the framework of mode-coupling theory describing
nonlinear interactions among long-wavelength fluctuations.},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Lepri, S.},
biburl = {https://www.bibsonomy.org/bibtex/2c2b77f8cbeb04363aac7077ac6a1b4b3/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {03b6ce75ab8540607dab254a779cfe90},
intrahash = {c2b77f8cbeb04363aac7077ac6a1b4b3},
keywords = {anomalous one-dimensional statphys23 systems topic-3 transport},
month = {9-13 July},
timestamp = {2007-06-20T10:16:16.000+0200},
title = {Anomalous heat transport in one-dimensional many-particles models},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=307},
year = 2007
}