Correlations and responses for a system of n coupled linear oscillators with asymmetric interactions

Ryosuke Ishiwata, Reo Yaguchi, Yuki Sugiyama

Research output: Contribution to journalArticlepeer-review

Abstract

We focus on the asymmetry of the interaction in the optimal velocity (OV) model, which is a model of self-driven particles, and analytically investigate the effects of the asymmetry on the fluctuation-response relation, which is one of the remarkable relationships in statistical physics. By linearizing a modified OV model, i.e., the backward-looking optimal velocity model, which can easily control the magnitude of asymmetry in the interaction, we derive n coupled linear oscillators with asymmetric interactions. We analytically solve the equations of the n coupled linear oscillators and calculate the response and correlation functions. We find that the fluctuation response relation does not hold in the n coupled linear oscillators with asymmetric interactions. Moreover, as the magnitude of the asymmetry increases, the difference between the response and correlation functions increases.

Original languageEnglish
Article number012150
JournalPhysical Review E
Volume102
Issue number1
DOIs
Publication statusPublished - 2020 Jul

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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