%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 }