Correlations and responses for a system of n coupled linear oscillators with asymmetric interactions
Correlations and responses for a system of n coupled linear oscillators with asymmetric interactions
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DOI：
10.1103/physreve.102.012150
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发表时间：
2020-07-28
影响因子：
2.4
通讯作者：
Sugiyama, Yuki
中科院分区：
文献类型：
--
作者：
Ishiwata, Ryosuke;Yaguchi, Reo;Sugiyama, Yuki
我们专注于最佳速度（OV）模型，这是一个模型的自驱动粒子的相互作用的不对称性，并分析研究的不对称性的影响的波动响应关系，这是一个显着的关系在统计物理。通过线性化修改的OV模型，即，向后看的最优速度模型，它可以很容易地控制在相互作用的不对称性的大小，我们推导出n个耦合的线性振子与不对称的相互作用。我们解析地求解了n个耦合线性振子的方程，并计算了响应函数和相关函数。我们发现，涨落响应关系在具有非对称相互作用的n个耦合线性振子中不成立。此外，随着非对称性的幅度增加，响应函数和相关函数之间的差异增加。
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.