Thermodynamics of Reduced State of the Field

TL;DR

This paper extends the thermodynamic analysis of the Reduced State of the Field (RSF), a formalism for macroscopic quantum fields, by exploring heat notions, solving dynamical equations, and discussing thermodynamic implications.

Contribution

It introduces a comprehensive thermodynamic framework for RSF, including heat concepts and dynamical solutions, advancing understanding of macroscopic quantum field behavior.

Findings

Derived a notion of heat for RSF.

Solved dynamical equations in multiple regimes.

Discussed thermodynamic implications of solutions.

Abstract

Recent years have seen the flourishing of research devoted to quantum effects on mesoscopic and macroscopic scales. In this context, in Entropy 2019, 21, 705, a formalism aiming at describing macroscopic quantum fields, dubbed Reduced State of the Field (RSF), was envisaged. While, in the original work, a proper notion of entropy for macroscopic fields, together with their dynamical equations, was derived, here, we expand thermodynamic analysis of the RSF, discussing the notion of heat, solving dynamical equations in various regimes of interest, and showing the thermodynamic implications of these solutions.