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 -