Stochastic thermodynamics of Fisher information
Abstract
In this paper, we investigate the stochastic thermodynamics of Fisher information (FI), meaning we characterize both the \textit{fluctuations} of FI, introducing a parastatistics of that quantity, and thermodynamic quantities. We introduce two initial conditions: an equilibrium initial condition and a minimum entropy initial condition, both under a protocol that drives the system to equilibrium. Its results indicate a dependence of the average FI on both the initial condition and path taken. Furthermore, the results point the chosen parameter directly affects the FI of thermodynamic quantities such as irreversible work and entropy, along with fluctuations of a stochastic FI. Last, we assess the further role of FI of the distribution of thermal quantities within the context of thermostatistical inequalities.
Cite
@article{arxiv.2405.15685,
title = {Stochastic thermodynamics of Fisher information},
author = {Pedro B. Melo and Sílvio M. Duarte Queirós and Welles A. M. Morgado},
journal= {arXiv preprint arXiv:2405.15685},
year = {2025}
}
Comments
Accepted to Phys. Rev. E, 8 pages and 4 figures