混合Gauss-Cauchy过程的热量和功分布
Heat and work distributions for mixed Gauss-Cauchy process
摘要：
我们分析能量的非高斯过程所描述的随机微分方程的朗之万型。该过程代表了一个范例模型的非平衡系统的热波动和额外的外部噪声，这两个来源的扰动被认为是添加剂和统计独立的强迫。我们定义的过程的轨迹和分析的贡献，机械功和热量的热力学量。作为一个工作的例子，我们考虑一个粒子受到阻力和两个独立的Levy白噪声的稳定性指数$α=2$和$α=1$。耗散能（热）的波动和分配的工作所进行的力作用在系统上的柯西波动的贡献，无论是浴或外力作用在系统上的检查解决。
英文摘要：
We analyze energetics of a non-Gaussian process described by a stochastic differential equation of the Langevin type. The process represents a paradigmatic model of a nonequilibrium system subject to thermal fluctuations and additional external noise, with both sources of perturbations considered as additive and statistically independent forcings. We define thermodynamic quantities for trajectories of the process and analyze contributions to mechanical work and heat. As a working example we consider a particle subjected to a drag force and two independent Levy white noises with stability indices $α=2$ and $α=1$. The fluctuations of dissipated energy (heat) and distribution of work performed by the force acting on the system are addressed by examining contributions of Cauchy fluctuations to either bath or external force acting on the system.
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