The H-Boltzmann's Theorem for Magnetic Systems

TL;DR

This paper discusses the conditions under which entropy production in magnetic systems can be negative or positive, especially near critical points, and introduces a theorem related to these phenomena.

Contribution

It presents the H-Boltzmann's Theorem, extending classical thermodynamics to magnetic systems with broken time-reversal symmetry.

Findings

Entropy production can be negative in non-invariant systems.

Near critical points, entropy production becomes positive.

Transition probabilities influence entropy sign near criticality.

Abstract

In a time-reversal non-invariant system the entropy production, dS/dt, may be negative. Close to the critical point of medium it is positive: larger or smaller as compared with one above critical point depending on whether the transitions from lower states to higher states of the system are more (less) probable than the reverse transitions. PACS numbers: 05.60.+w, 05.70.Fh, 05.70.Ln