Heat flow and noncommutative quantum mechanics in phase-space

TL;DR

This paper explores how noncommutative phase-space effects in quantum mechanics can influence heat flow between systems, potentially accelerating thermal equilibrium and raising questions about thermodynamic laws.

Contribution

It introduces a framework for analyzing heat flow in noncommutative quantum mechanics and demonstrates control over heat transfer via new quantum constants.

Findings

Heat flow can be enhanced by noncommutative effects.

Controlling quantum constants affects thermalization time.

Discussion on the second law's robustness in noncommutative settings.

Abstract

In this work, we investigate the heat flow of two interacting quantum systems on the perspective of noncommutativity phase-space effects and show that by controlling the new constants introduced in the quantum theory, due to a deformed Heisenberg-Weyl algebra, the heat flow from the hot to the cold system may be enhanced, thus decreasing the time required to reach thermal equilibrium. We also give a brief discussion on the robustness of the second law of thermodynamics in the context of noncommutative quantum mechanics