Energy transport in weakly anharmonic chains

Kenichiro Aoki, Jani Lukkarinen, Herbert Spohn

研究成果: Article査読

49 被引用数 (Scopus)

抄録

We investigate the energy transport in a one-dimensional lattice of oscillators with a harmonic nearest neighbor coupling and a harmonic plus quartic on-site potential. As numerically observed for particular coupling parameters before, and confirmed by our study, such chains satisfy Fourier's law: a chain of length N coupled to thermal reservoirs at both ends has an average steady state energy current proportional to 1/N. On the theoretical level we employ the Peierls transport equation for phonons and note that beyond a mere exchange of labels it admits nondegenerate phonon collisions. These collisions are responsible for a finite heat conductivity. The predictions of kinetic theory are compared with molecular dynamics simulations. In the range of weak anharmonicity, respectively low temperatures, reasonable agreement is observed.

本文言語English
ページ(範囲)1105-1129
ページ数25
ジャーナルJournal of Statistical Physics
124
5
DOI
出版ステータスPublished - 2006 9

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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