From anomalous energy diffusion to levy walks and heat conductivity in one-dimensional systems

P Cipriani, S Denisov, A Politi

Research output: Contribution to journalArticle

79 Citations (Scopus)

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).

Original languageEnglish
Article number244301
Number of pages4
JournalPhysical Review Letters
Volume94
Issue number24
DOIs
Publication statusPublished - 24 Jun 2005

Keywords

  • Lyapunov exponents
  • propagation
  • flow

Cite this

From anomalous energy diffusion to levy walks and heat conductivity in one-dimensional systems. / Cipriani, P ; Denisov, S ; Politi, A .

In: Physical Review Letters, Vol. 94, No. 24, 244301, 24.06.2005.

Research output: Contribution to journalArticle

@article{8fb3f4d3ec4041829cf168bab9abcc1d,
title = "From anomalous energy diffusion to levy walks and heat conductivity in one-dimensional systems",
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).",
keywords = "Lyapunov exponents, propagation, flow",
author = "P Cipriani and S Denisov and A Politi",
year = "2005",
month = "6",
day = "24",
doi = "10.1103/PhysRevLett.94.244301",
language = "English",
volume = "94",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "24",

}

TY - JOUR

T1 - From anomalous energy diffusion to levy walks and heat conductivity in one-dimensional systems

AU - Cipriani, P

AU - Denisov, S

AU - Politi, A

PY - 2005/6/24

Y1 - 2005/6/24

N2 - 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).

AB - 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).

KW - Lyapunov exponents

KW - propagation

KW - flow

U2 - 10.1103/PhysRevLett.94.244301

DO - 10.1103/PhysRevLett.94.244301

M3 - Article

VL - 94

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 24

M1 - 244301

ER -