Weyl conjecture and thermal radiation of finite systems

Autor: Baldiotti, M. C., Jaraba, M. A., Santos, L. F., Molina, C.
Rok vydání: 2023
Předmět:
Zdroj: J. Phys. A: Math. Theor. 56, 015002 (2023)
Druh dokumentu: Working Paper
DOI: 10.1088/1751-8121/acb09b
Popis: In this work, corrections for the Weyl law and Weyl conjecture in d dimensions are obtained and effects related to the polarization and area term are analyzed. The derived formalism is applied on the quasithermodynamics of the electromagnetic field in a finite $d$-dimensional box within a semi-classical treatment. In this context, corrections to the Stefan-Boltzmann law are obtained. Special attention is given to the two-dimensional scenario, since it can be used in the characterization of experimental setups. Another application concerns acoustic perturbations in a quasithermodynamic generalization of Debye model for a finite solid in d dimensions. Extensions and corrections for known results and usual formulas, such as the Debye frequency and Dulong-Petit law, are calculated.
Comment: 21 pages, 2 figures. To be published in Journal of Physics A
Databáze: arXiv