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

Research output: Contribution to journal › Article › peer-review

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
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1143/JPSJ.47.699

Fingerprint Dive into the research topics of 'Linear response of one dimensional nonlinear system. I. Dynamical properties of the φ<sup>4</sup> chain'. Together they form a unique fingerprint.

Cite this

@article{dd757494e9d54c1494b74b2fed9f9389,

title = "Linear response of one dimensional nonlinear system. I. Dynamical properties of the φ4 chain",

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.",

author = "Masatoshi Imada",

year = "1979",

month = jan,

day = "1",

doi = "10.1143/JPSJ.47.699",

language = "English",

volume = "47",

pages = "699--705",

journal = "Journal of the Physical Society of Japan",

issn = "0031-9015",

publisher = "Physical Society of Japan",

number = "3",

}

TY - JOUR

T1 - Linear response of one dimensional nonlinear system. I. Dynamical properties of the φ4 chain

AU - Imada, Masatoshi

PY - 1979/1/1

Y1 - 1979/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=18144395043&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=18144395043&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.47.699

DO - 10.1143/JPSJ.47.699

M3 - Article

AN - SCOPUS:18144395043

VL - 47

SP - 699

EP - 705

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 3