arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2009.07112cond-mat.stat-mech
收藏

活动粒子大偏差中的集体运动

Collective motion in large deviations of active particles

Yann-Edwin Keta, Étienne Fodor, Frédéric van Wijland, Michael E. Cates, Robert L. Jack

摘要:

我们分析集体运动,发生在罕见的(大偏差)活动粒子系统中的事件,无论是数值和分析。我们讨论了相关的动力学相变集体运动,这发生在积极的工作偏向较大的值,并与粒子的取向对齐。即使在大系统中,也需要有限的偏置场来诱导自发对称性破缺。粒子对齐是针对两个粒子的系统精确计算的。对于多粒子系统,我们分析了对称性破缺的最优控制表示的偏置动态,我们提出了一个波动的流体动力学理论,捕捉出现的极性顺序的偏置状态。

英文摘要:

We analyse collective motion that occurs during rare (large deviation) events in systems of active particles, both numerically and analytically. We discuss the associated dynamical phase transition to collective motion, which occurs when the active work is biased towards larger values, and is associated with alignment of particles' orientations. A finite biasing field is needed to induce spontaneous symmetry breaking, even in large systems. Particle alignment is computed exactly for a system of two particles. For many-particle systems, we analyse the symmetry breaking by an optimal-control representation of the biased dynamics, and we propose a fluctuating hydrodynamic theory that captures the emergence of polar order in the biased state.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑