Linear response of one dimensional nonlinear system. I. Dynamical properties of the φ4 chain

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Abstract

The linear response theory of the one dimensional nonlinear systems is formulated in the limit of the overdamping. Transfer integral method is applied to investigate the dynamical structure factor S (k =0, ω). The equation of motion for the distribution function is reduced to a set of independent equations for normal modes. As an example the structure factor for the φ4 chain is calculated to be the sum of a very narrow central peak and a broad overdamped phonon peak. The origin of the former is supposed to be the domain wall motion.

Original languageEnglish
Pages (from-to)699-705
Number of pages7
JournalJournal of the Physical Society of Japan
Volume47
Issue number3
DOIs
Publication statusPublished - 1979 Jan 1
Externally publishedYes

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nonlinear systems
domain wall
equations of motion
distribution functions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Linear response of one dimensional nonlinear system. I. Dynamical properties of the φ4 chain. / Imada, Masatoshi.

In: Journal of the Physical Society of Japan, Vol. 47, No. 3, 01.01.1979, p. 699-705.

Research output: Contribution to journalArticle

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