Semeraro Massimiliano, Gonnella Giuseppe, Suma Antonio, Zamparo Marco
Dipartimento Interateneo di Fisica, Università degli Studi di Bari and INFN, Sezione di Bari, via Amendola 173, Bari I-70126, Italy.
Phys Rev Lett. 2023 Oct 13;131(15):158302. doi: 10.1103/PhysRevLett.131.158302.
We study the active work fluctuations of an active Ornstein-Uhlenbeck particle in the presence of a confining harmonic potential. We tackle the problem analytically both for stationary and generic uncorrelated initial states. Our results show that harmonic confinement can induce singularities in the active work rate function, with linear stretches at large positive and negative active work, at sufficiently large active and harmonic force constants. These singularities originate from big jumps in the displacement and in the active force, occurring at the initial or ending points of trajectories and marking the relevance of boundary terms in this problem.
我们研究了在存在约束性简谐势的情况下，一个活性奥恩斯坦 - 乌伦贝克粒子的主动功涨落。我们针对稳态和一般不相关的初始状态，通过解析方法解决了这个问题。我们的结果表明，在足够大的活性和简谐力常数下，简谐约束会在主动功率函数中诱导奇点，在大的正主动功和负主动功处出现线性拉伸。这些奇点源于位移和主动力的大幅跳跃，这些跳跃发生在轨迹的起点或终点，标志着该问题中边界项的相关性。
