From anomalous energy diffusion to levy walks and heat conductivity in one-dimensional systems
Anno: 2005
Autori: Cipriani P., Denisov S., Politi A.
Affiliazione autori: Ist Nazl Ott Applicata, Nothnitzer Str 38, D-01187 Dresden, Germany; Ist Nazl Ott Applicata, D-01187 Dresden, Germany; Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
Abstract: The evolution of infinitesimal, localized perturbations is investigated in a one-dimensional diatomic gas of hard-point particles (HPG) and thereby connected to energy diffusion. As a result, a Levy walk description, which was so far invoked to explain anomalous heat conductivity in the context of noninteracting particles is here shown to extend to the general case of truly many-body systems. Our approach does not only provide firm evidence that energy diffusion is anomalous in the HPG, but proves definitely superior to direct methods for estimating the divergence rate of heat conductivity which turns out to be 0.333 +/- 0.004, in perfect agreement with the dynamical renormalization-group prediction (1/3).
Giornale/Rivista: PHYSICAL REVIEW LETTERS
Volume: 94 (24) Da Pagina: 244301-1 A: 244301-4
Parole chiavi: Lyapunov Exponents; Propagation; FlowDOI: 10.1103/PhysRevLett.94.244301Citazioni: 112dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui
