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

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)3445-3453
Number of pages9
JournalPhysical Review B
Volume35
Issue number7
DOIs
Publication statusPublished - 1987 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Sine-Gordon system as a Toda lattice: Thermodynamics in the classical limit'. Together they form a unique fingerprint.

Cite this