Fisher information and thermodynamics' 1st. law
Statistical Mechanics
2015-06-25 v2
Abstract
It was recently shown, starting from first principles, that thermodynamics' first law (TFL) can be microscopically obtained without need of invoking the adiabatic theorem (AT) [Physica A, {\bf 356}, 167 (2005)]. We show here that a TFL can also be found for Fisher's information measure, following a similar procedure. Further, it is proved that enforcing the Fisher-first law requirements in a process in which the probability distribution is infinitesimally varied is equivalent to minimizing Fisher's information measure subject to appropriate constraints.
Keywords
Cite
@article{arxiv.cond-mat/0509697,
title = {Fisher information and thermodynamics' 1st. law},
author = {A. Plastino and A. R. Plastino and B. H. Soffer},
journal= {arXiv preprint arXiv:cond-mat/0509697},
year = {2015}
}
Comments
4 pages, no figures