Anomalous kinetics and transport from 1D self-consistent mode-coupling theory (Articolo in rivista)

Type
Label
  • Anomalous kinetics and transport from 1D self-consistent mode-coupling theory (Articolo in rivista) (literal)
Anno
  • 2007-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1088/1742-5468/2007/02/P02007 (literal)
Alternative label
  • Delfini, L (1,2); Lepri, S (1); Livi, R (2,3); Politi, A (1); (2007)
    Anomalous kinetics and transport from 1D self-consistent mode-coupling theory
    in Journal of statistical mechanics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Delfini, L (1,2); Lepri, S (1); Livi, R (2,3); Politi, A (1); (literal)
Pagina inizio
  • P02007 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 2007 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 17 (literal)
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  • February (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • 1) Istituto dei Sistemi Complessi,Consiglio Nazionale delle Ricerche, via Madonna del Piano 10,I-50019 Sesto Fiorentino, Italy; 2) Dipartimento di Fisica,Università di Firenze, via G Sansone 1 I-50019, Sesto Fiorentino, Italy; 3) Sezione INFN,Unità INFM and CSDC Firenze, via G Sansone 1 I-50019, Sesto Fiorentino,Italy; (literal)
Titolo
  • Anomalous kinetics and transport from 1D self-consistent mode-coupling theory (literal)
Abstract
  • We study the dynamics of long-wavelength fluctuations in one-dimensional (1D) many-particle systems as described by self-consistent mode-coupling theory. The corresponding non-linear integro-differential equations for the relevant correlators are solved analytically and checked numerically. In particular, we find that the memory functions exhibit a power-law decay accompanied by relatively fast oscillations. Furthermore, the scaling behaviour and, correspondingly, the universality class depend on the order of the leading non-linear term. In the cubic case, both viscosity and thermal conductivity diverge in the thermodynamic limit. In the quartic case, a faster decay of the memory functions leads to a finite viscosity, while the thermal conductivity exhibits an even faster divergence. Finally, our analysis puts on a firmer basis the previously conjectured connection between anomalous heat conductivity and anomalous diffusion. (literal)
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