Nonlocal stationary probability distributions and escape rates for an active Ornstein–Uhlenbeck particle
Nonlocal stationary probability distributions and escape rates for an active Ornstein–Uhlenbeck particle
复制标题
活性 Ornstein-Uhlenbeck 粒子的非局部平稳概率分布和逃逸率
DOI：
10.1088/1742-5468/ab7e2e
复制
发表时间：
2019
期刊：
影响因子：
--
通讯作者：
V. Lecomte
中科院分区：
文献类型：
--
作者：
E. Woillez;Y. Kafri;V. Lecomte
我们用大偏差理论的方法计算了活性Ornstein-Uhlenbeck粒子（AOUP）的稳态分布和逃逸率。在一维情况下，分别进行了小记忆次数和大记忆次数的计算。我们将我们的结果与有关彩色噪声过程的文献中获得的结果进行比较，并强调它们与活性物质领域的相关性。我们特别强调，与平衡粒子相反，这种活跃粒子的不变测度是势的非局域函数。这一事实有许多有趣的结果，我们通过两个现象来说明。首先，在不对称屏障存在的情况下，活性粒子倾向于积聚在电位的一侧——这是一种棘轮效应，在以前的治疗中是没有的。第二，一个活跃的粒子可以逃逸到深亚稳态，而不需要在亚稳态底部停留任何时间。
We evaluate the steady-state distribution and escape rate for an active Ornstein–Uhlenbeck particle (AOUP) using methods from the theory of large deviations. The calculation is carried out both for small and large memory times of the active force in one-dimension. We compare our results to those obtained in the literature about colored noise processes, and we emphasize their relevance for the field of active matter. In particular, we stress that contrary to equilibrium particles, the invariant measure of such an active particle is a non-local function of the potential. This fact has many interesting consequences, which we illustrate through two phenomena. First, active particles in the presence of an asymmetric barrier tend to accumulate on one side of the potential—a ratchet effect that was missing is previous treatments. Second, an active particle can escape over a deep metastable state without spending any time at its bottom.