A geometric description of blackbody-like systems in thermodynamic equilibrium

Fuente: arXiv
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Autor principal: Rodríguez, Victor Alcides Guzmán
Formato: Preprint
Publicado: 2017
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author Rodríguez, Victor Alcides Guzmán
author_facet Rodríguez, Victor Alcides Guzmán
contents Riemannian and contact geometry formalisms are used to study the fundamental equation of electromagnetic radiation-like systems, obeying a Stefan-Boltzmann's-like law. The vanishing of metric determinant is used for classifying what kind of systems can not represent a possible generalization of blackbody-like systems. In addition, thermodynamic curvature scalar $\mathcal{R}$ is evaluated for a thermodynamic metric, giving $\mathcal{R}=0$, which validates the non-interaction hypothesis stating that the scalar curvature vanishes for non-interacting systems.
format Preprint
id arxiv_https___arxiv_org_abs_1712_01380
institution arXiv
publishDate 2017
record_format arxiv
spellingShingle A geometric description of blackbody-like systems in thermodynamic equilibrium
Rodríguez, Victor Alcides Guzmán
Statistical Mechanics
37D35 \sep 53D10 \sep 70G45 \sep 82B26
Riemannian and contact geometry formalisms are used to study the fundamental equation of electromagnetic radiation-like systems, obeying a Stefan-Boltzmann's-like law. The vanishing of metric determinant is used for classifying what kind of systems can not represent a possible generalization of blackbody-like systems. In addition, thermodynamic curvature scalar $\mathcal{R}$ is evaluated for a thermodynamic metric, giving $\mathcal{R}=0$, which validates the non-interaction hypothesis stating that the scalar curvature vanishes for non-interacting systems.
title A geometric description of blackbody-like systems in thermodynamic equilibrium
topic Statistical Mechanics
37D35 \sep 53D10 \sep 70G45 \sep 82B26
url https://arxiv.org/abs/1712.01380