Universality of anomalous one-dimensional heat conductivity

S Lepri, R Livi, A Politi

Research output: Contribution to journalArticle

66 Citations (Scopus)

Abstract

In one and two dimensions, transport coefficients may diverge in the thermodynamic limit due to long-time correlation of the corresponding currents. The effective asymptotic behavior is addressed with reference to the problem of heat transport in one-dimensional crystals, modeled by chains of classical nonlinear oscillators. Extensive accurate equilibrium and nonequilibrium numerical simulations confirm that the finite-size thermal conductivity diverges with system size L as kappaproportional toL(alpha). However, the exponent alpha deviates systematically from the theoretical prediction alpha=1/3 proposed in a recent paper [O. Narayan and S. Ramaswamy, Phys. Rev. Lett. 89, 200601 (2002)].

Original languageEnglish
Article number067102
Number of pages4
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume68
Issue number6
DOIs
Publication statusPublished - Dec 2003

Keywords

  • thermal-conductivity
  • lattices
  • transport

Cite this

Universality of anomalous one-dimensional heat conductivity. / Lepri, S ; Livi, R ; Politi, A .

In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, Vol. 68, No. 6, 067102, 12.2003.

Research output: Contribution to journalArticle

@article{92631f31eef2417d948547f2815d685b,
title = "Universality of anomalous one-dimensional heat conductivity",
abstract = "In one and two dimensions, transport coefficients may diverge in the thermodynamic limit due to long-time correlation of the corresponding currents. The effective asymptotic behavior is addressed with reference to the problem of heat transport in one-dimensional crystals, modeled by chains of classical nonlinear oscillators. Extensive accurate equilibrium and nonequilibrium numerical simulations confirm that the finite-size thermal conductivity diverges with system size L as kappaproportional toL(alpha). However, the exponent alpha deviates systematically from the theoretical prediction alpha=1/3 proposed in a recent paper [O. Narayan and S. Ramaswamy, Phys. Rev. Lett. 89, 200601 (2002)].",
keywords = "thermal-conductivity, lattices, transport",
author = "S Lepri and R Livi and A Politi",
year = "2003",
month = "12",
doi = "10.1103/PhysRevE.68.067102",
language = "English",
volume = "68",
journal = "Physical Review. E, Statistical, Nonlinear and Soft Matter Physics",
issn = "1539-3755",
publisher = "AMER PHYSICAL SOC",
number = "6",

}

TY - JOUR

T1 - Universality of anomalous one-dimensional heat conductivity

AU - Lepri, S

AU - Livi, R

AU - Politi, A

PY - 2003/12

Y1 - 2003/12

N2 - In one and two dimensions, transport coefficients may diverge in the thermodynamic limit due to long-time correlation of the corresponding currents. The effective asymptotic behavior is addressed with reference to the problem of heat transport in one-dimensional crystals, modeled by chains of classical nonlinear oscillators. Extensive accurate equilibrium and nonequilibrium numerical simulations confirm that the finite-size thermal conductivity diverges with system size L as kappaproportional toL(alpha). However, the exponent alpha deviates systematically from the theoretical prediction alpha=1/3 proposed in a recent paper [O. Narayan and S. Ramaswamy, Phys. Rev. Lett. 89, 200601 (2002)].

AB - In one and two dimensions, transport coefficients may diverge in the thermodynamic limit due to long-time correlation of the corresponding currents. The effective asymptotic behavior is addressed with reference to the problem of heat transport in one-dimensional crystals, modeled by chains of classical nonlinear oscillators. Extensive accurate equilibrium and nonequilibrium numerical simulations confirm that the finite-size thermal conductivity diverges with system size L as kappaproportional toL(alpha). However, the exponent alpha deviates systematically from the theoretical prediction alpha=1/3 proposed in a recent paper [O. Narayan and S. Ramaswamy, Phys. Rev. Lett. 89, 200601 (2002)].

KW - thermal-conductivity

KW - lattices

KW - transport

U2 - 10.1103/PhysRevE.68.067102

DO - 10.1103/PhysRevE.68.067102

M3 - Article

VL - 68

JO - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

JF - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

SN - 1539-3755

IS - 6

M1 - 067102

ER -