Poisson噪声作用下有效非线性系统的涨落特性
Fluctuation properties of an effective nonlinear system subject to Poisson noise
摘要：
本文研究了在摩擦和外部泊松散粒噪声的影响下，运动谐振势中粒子的功涨落。噪声的不对称性在电势中引起有效的非线性，这反过来又导致工作分布中的奇异特征。在解析解的基础上，我们发现，在这个模型中，传统的波动定理是违反的，即使分布表现出很大的偏差形式。此外，我们证明了各种时间尺度的相互作用导致的关键行为，如负波动函数和发散的工作分布在奇点。在一定的参数范围内，大的负功波动比相应的正功波动更容易发生，尽管平均功总是正的，与第二定律一致。
英文摘要：
We study the work fluctuations of a particle, confined to a moving harmonic potential, under the influence of friction and external Poissonian shot noise. The asymmetry of the noise induces an effective nonlinearity in the potential, which in turn leads to singular features in the work distribution. On the basis of an analytic solution we find that the conventional fluctuation theorem is violated in this model, even though the distribution exhibits a large deviation form. Furthermore, we demonstrate that the interplay of the various time scales leads to critical behaviors, such as a negative fluctuation function and a divergence in the work distribution at the singularity. In a certain parameter regime large negative work fluctuations are more likely to occur than the corresponding positive ones, though the average work is always positive, in agreement with the second law.
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