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.

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

VL - 102

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 1

M1 - 012150

ER -