热扩散的熵率
The Entropy Rate of Thermal Diffusion
摘要：
自由粒子的热扩散是一个随机过程，以每秒自然信息单位的速度产生熵，其速率等于粒子温度的两倍。速率是使用高斯过程计算的，其方差是量子扩散和经典扩散的组合。自由粒子扩散的解是从动能方程及其相关的虚扩散常数和代表经典扩散的实扩散常数导出的。我们发现初态的熵是一个自然单位，它是在去相干时间之后过程产生的相同量的熵，hbar超过两倍的温度。
英文摘要：
The thermal diffusion of a free particle is a random process and generates entropy at a rate equal to twice the particle temperature in natural units of information per second. The rate is calculated using a Gaussian process with a variance as a combination of quantum and classical diffusion. The solution to the diffusion of a free particle is derived from the equation for kinetic energy and its associated imaginary diffusion constant and a real diffusion constant representing classical diffusion. We find the entropy of the initial state is one natural unit, which is the same amount of entropy the process generates after the de-coherence time, hbar over twice the temperature.
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