English

Free energy potential and temperature with information exchange

Statistical Mechanics 2013-05-10 v1

Abstract

In this paper we develop a generalized formalism for equilibrium thermodynamic systems when an information is shared between the system and the reservoir. The information results in a correction to the entropy of the system. This extension of the formalism requires a consistent generalization of the concept of thermodynamic temperature. We show that this extended equilibrium formalism includes also non-equilibrium conditions in steady state. By non-equilibrium conditions we mean here a non Boltzmann probability distribution within the phase space of the system. It is in fact possible to map non-equilibrium steady state in an equivalent system in equilibrium conditions (Boltzmann distribution) with generalized temperature and the inclusion of the information potential corrections. A simple model consisting in a single free particle is discussed as elementary application of the theory.

Keywords

Cite

@article{arxiv.1305.2107,
  title  = {Free energy potential and temperature with information exchange},
  author = {Alessio Gagliardi and Aldo Di Carlo},
  journal= {arXiv preprint arXiv:1305.2107},
  year   = {2013}
}
R2 v1 2026-06-22T00:14:03.461Z