Information geometry of chemical thermodynamics

We study a connection between chemical thermodynamics and information geometry for the rate equation, where unnormalized concentration distributions are of importance rather than probability distributions. We introduce information geometry related to the Gibbs free energy of an ideal dilute solution, and discuss its thermodynamic interpretation. From a viewpoint of information geometry, we obtain a speed limit for a changing rate of the Gibbs free energy, a general bound of chemical fluctuations, and a trade-off relation between speed and time. We also discuss its application to biochemical reaction.

Reference:
Kohei Yoshimura and Sosuke Ito, arXiv:2005.08444 (2020).