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

Masatoshi Imada

doi:10.1143/JPSJ.47.699

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

Masatoshi Imada

Waseda Research Institute for Science and Engineering

Research output: Contribution to journal › Article

10 Citations (Scopus)

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 language	English
Pages (from-to)	699-705
Number of pages	7
Journal	journal of the physical society of japan
Volume	47
Issue number	3
DOIs	https://doi.org/10.1143/JPSJ.47.699
Publication status	Published - 1979 Jan 1

ASJC Scopus subject areas

Physics and Astronomy(all)

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Imada, M. (1979). Linear response of one dimensional nonlinear system. I. Dynamical properties of the φ⁴ chain. journal of the physical society of japan, 47(3), 699-705. https://doi.org/10.1143/JPSJ.47.699

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