论文标题
具有状态连续空间的系统的随机热力学
Stochastic thermodynamics of system with continuous space of states
论文作者
论文摘要
我们分析具有状态连续空间的系统的随机热力学。进化方程，熵产生速率和其他结果是通过离散时间公式的连续时间限制获得的。我们指出了时间逆转和概率电流耗散部分在熵产生中的作用。我们表明，熵产生的速率是耗散概率电流组件中的双线性形式，系数是与高斯噪声相关的精度矩阵的组成部分。我们还分析了一种使能量函数沿随机轨迹严格恒定的噪声，适合描述孤立的系统。这种类型的噪声导致非零熵产生，从而导致系统中熵的增加。该结果与Liouville方程预测的熵的不变性形成对比，该方程也描述了一个孤立的系统。
We analyze the stochastic thermodynamics of systems with continuous space of states. The evolution equation, the rate of entropy production, and other results are obtained by a continuous time limit of a discrete time formulation. We point out the role of time reversal and of the dissipation part of the probability current on the production of entropy. We show that the rate of entropy production is a bilinear form in the components of the dissipation probability current with coefficients being the components of the precision matrix related to the Gaussian noise. We have also analyzed a type of noise that makes the energy function to be strictly constant along the stochastic trajectory, being appropriate to describe an isolated system. This type of noise leads to nonzero entropy production and thus to an increase of entropy in the system. This result contrasts with the invariance of the entropy predicted by the Liouville equation, which also describes an isolated system.
