论文标题
不可逆热发动机的时间能量不确定性原理
Time-Energy Uncertainty Principle for Irreversible Heat Engines
论文作者
论文摘要
尽管不可逆性是任何现实生活过程的主要标志之一，但对不可逆过程的实际理解仍然大多是半经验的。在本文中，我们为以理想气体作为工作介质运行的不可逆热发动机制定了热力学不确定性原理。特别是，我们表明，经历这种不可逆的周期所需的时间乘以周期中丢失的不可逆工作，从下面界定了一个具有动作尺寸的不可还原且与过程相关的常数。所讨论的常数取决于该过程的典型尺度，并与bohr-radius的长度尺度上的普朗克常数相提并论，即，与理想气体实际上适用的最小距离相对应的比例。
Even though irreversibility is one of the major hallmarks of any real life process, an actual understanding of irreversible processes remains still mostly semiempirical. In this paper we formulate a thermodynamic uncertainty principle for irreversible heat engines operating with an ideal gas as a working medium. In particular, we show that the time needed to run through such an irreversible cycle multiplied by the irreversible work lost in the cycle, is bounded from below by an irreducible and process-dependent constant that has the dimension of an action. The constant in question depends on a typical scale of the process and becomes comparable to Planck's constant at the length scale of the order Bohr-radius, i.e., the scale that corresponds to the smallest distance on which the ideal gas paradigm realistically applies.
