TY - JOUR

T1 - Correlations and responses for a system of n coupled linear oscillators with asymmetric interactions

AU - Ishiwata, Ryosuke

AU - Yaguchi, Reo

AU - Sugiyama, Yuki

N1 - Funding Information:
R.I. and Y.S. thank Dr. S. Yukawa for valuable suggestions. R.I. is grateful to Dr. T. Shimada for insightful comments. This work was supported by JSPS KAKENHI Grant No. 19K23416.
Publisher Copyright:
© 2020 authors. Published by the American Physical Society.

PY - 2020/7

Y1 - 2020/7

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevE.102.012150

DO - 10.1103/PhysRevE.102.012150

M3 - Article

C2 - 32795008

AN - SCOPUS:85089353179

SN - 2470-0045

VL - 102

JO - Physical Review E

JF - Physical Review E

IS - 1

M1 - 012150

ER -