论文标题
在布朗尼噪声的情况下AOUP：一种扰动方法
AOUP in the presence of Brownian noise: a perturbative approach
论文作者
论文摘要
通过在较小的持久性时间限制中工作，我们确定活跃的Ornstein uhlenbeck粒子（AOUP）的稳态分布，除了自我推测之外，还经历了在温度t处进行浴缸模拟浴的高斯白噪声。这使我们能够以三种数量的量来得出三个数量的分析形式：当前诱导的粒子的空间密度和当前的定期范围，AS与当前的定期范围。这些公式将被动和主动噪声在AOUP的稳态上的各个作用中脱离，表明随着温度的变化，非平衡的特征可能会显示出令人惊讶的行为。实际上，根据粒子进化的潜力，电流和熵的生产速率都可以是T的非单调函数。后者甚至可以在高温下散发出足够的陡峭限制电位。因此，根据上下文，打开翻译扩散可能会使粒子更靠近或远离平衡。然后，我们通过数值模拟探测定量推导的有效性范围。最后，我们解释了如何在此处介绍的方法来处理Ornstein Uhlenbeck（OU）噪声，这可以进一步推广到Brownian案例之外。
By working in the small persistence time limit, we determine the steady-state distribution of an Active Ornstein Uhlenbeck Particle (AOUP) experiencing, in addition to self-propulsion, a Gaussian white noise modelling a bath at temperature T. This allows us to derive analytical formulas for three quantities: the spatial density of a confined particle, the current induced by an asymmetric periodic potential and the entropy production rate. These formulas disentangle the respective roles of the passive and active noises on the steady state of AOUPs, showing that signatures of non-equilibrium can display surprising behaviors as the temperature is varied. Indeed, depending on the potential in which the particle evolves, both the current and the entropy production rate can be non-monotonic functions of T. The latter can even diverge at high temperature for steep enough confining potentials. Thus, depending on context, switching on translational diffusion may drive the particle closer to or further away from equilibrium. We then probe the range of validity of our quantitative derivations by numerical simulations. Finally, we explain how the method presented here to tackle perturbatively an Ornstein Uhlenbeck (OU) noise could be further generalized beyond the Brownian case.
