Housekeeping and excess entropy production for general nonlinear dynamics

Yoshimura, Kohei; Kolchinsky, Artemy; Dechant, Andreas; Ito, Sosuke

doi:http://dx.doi.org/10.1103/PhysRevResearch.5.013017

Housekeeping and excess entropy production for general nonlinear dynamics

License

Citation

Yoshimura K, Kolchinsky A, Dechant A, Ito S. Housekeeping and excess entropy production for general nonlinear dynamics. Phys Rev Res. 2023 Jan 17;5(1):013017. DOI: 10.1103/physrevresearch.5.013017

Abstract

We propose a housekeeping/excess decomposition of entropy production for general nonlinear dynamics in a discrete space, including chemical reaction networks and discrete stochastic systems. We exploit the geometric structure of thermodynamic forces to define the decomposition; this does not rely on the notion of a steady state, and it even applies to systems that exhibit multistability, limit cycles, and chaos. In the decomposition, distinct aspects of the dynamics contribute separately to entropy production: the housekeeping part stems from a cyclic mode that arises from external driving, generalizing Schnakenberg's cyclic decomposition to nonsteady states, while the excess part stems from an instantaneous relaxation mode that arises from conservative forces. Our decomposition refines previously known thermodynamic uncertainty relations and speed limits. In particular, it not only improves an optimal-transport-theoretic speed limit, but it also extends the optimal transport theory of discrete systems to nonlinear and nonconservative settings.