Sine-Gordon system as a Toda lattice: Thermodynamics in the classical limit

Kazuo Sasaki

研究成果: Article査読

3 被引用数 (Scopus)

抄録

The Bethe-ansatz (BA) equation for the classical sine-Gordon (SG) thermodynamics is shown to reduce to the one for the classical Toda lattice within two approximations; the phonon-phonon interactions are neglected (the harmonic phonon) and solitons are treated nonrelativistically. Within these approximations the solitons in the SG model correspond to the particles in the Toda lattice. Making use of an analytical solution of the BA equation for the classical Toda lattice due to Opper, we obtain an analytical solution of the approximate SG equation. We propose also a similar approximate BA equation for the 4 model, although the 4 model does not have the BA equation for the classical thermodynamics.

本文言語English
ページ(範囲)3445-3453
ページ数9
ジャーナルPhysical Review B
35
7
DOI
出版ステータスPublished - 1987
外部発表はい

ASJC Scopus subject areas

  • 凝縮系物理学

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