### 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 φ^{4} 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 |
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Pages (from-to) | 699-705 |

Number of pages | 7 |

Journal | Journal of the Physical Society of Japan |

Volume | 47 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1979 Jan 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Linear response of one dimensional nonlinear system. I. Dynamical properties of the φ ^{4} chain.** / Imada, Masatoshi.

Research output: Contribution to journal › Article

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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

ER -