RIES, Hokkaido University, N20 W10, Kita-ku, Sapporo, Hokkaido 001-0020, Japan.
Phys Rev Lett. 2018 Jul 20;121(3):030605. doi: 10.1103/PhysRevLett.121.030605.
In recent years, the unified theory of information and thermodynamics has been intensively discussed in the context of stochastic thermodynamics. The unified theory reveals that information theory would be useful to understand nonstationary dynamics of systems far from equilibrium. In this Letter, we have found a new link between stochastic thermodynamics and information theory well-known as information geometry. By applying this link, an information geometric inequality can be interpreted as a thermodynamic uncertainty relationship between speed and thermodynamic cost. We have numerically applied an information geometric inequality to a thermodynamic model of a biochemical enzyme reaction.
近年来，在随机热力学的背景下，信息和热力学的统一理论得到了深入的讨论。该统一理论揭示了信息论对于理解远离平衡的系统的非稳态动力学将是有用的。在这封信中，我们发现了随机热力学和信息论之间的一个新的联系，即众所周知的信息几何。通过应用这一联系，可以将信息几何不等式解释为速度和热力学成本之间的热力学不确定性关系。我们已经将信息几何不等式数值应用于生化酶反应的热力学模型。
