Nonlinear wave propagation in large extra spatial dimensions and the blackbody thermal laws

TL;DR

This paper explores nonlinear electromagnetic wave propagation in large extra dimensions, analyzing how background fields influence blackbody radiation laws and thermodynamic properties, revealing anisotropic effects and generalizations of classical laws.

Contribution

It introduces a novel analysis of nonlinear electrodynamics in extra dimensions, extending blackbody laws and thermodynamics to include anisotropic and nonlinear effects.

Findings

Generalized spectral energy density and Stefan-Boltzmann law in extra dimensions.

Anisotropic frequency spectrum due to electromagnetic nonlinearity.

Modified thermodynamic quantities at thermal equilibrium.

Abstract

Nonlinear wave propagation in large extra spatial dimensions (on and above $d=2$) is investigated in the context of nonlinear electrodynamics theories that depend exclusively on the invariant $\mathcal{F}\left(=-(1/4)F_{\mu\nu}F^{\mu\nu}\right)$. In this vein, we consider propagating waves under the influence of external uniform electric and magnetic fields. Features related to the blackbody radiation in the presence of a background constant electric field such as the generalization of the spectral energy density distribution and the Stefan-Boltzmann law are obtained. Interestingly enough, anisotropic contributions to the frequency spectrum appear in connection to the nonlinearity of the electromagnetic field. In addition, the long wavelength regime and Wien's displacement law in this situation are studied. The corresponding thermodynamics quantities at thermal equilibrium, such as energy, pressure, entropy, and heat capacity densities are contemplated as well.