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

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.

9 pages, 3 figures

References in corpus (14)

• Bose-Einstein condensation of photons in an optical microcavity
• New origin for approximate symmetries from distant breaking in extra dimensions
• Billiard Representation for Multidimensional Cosmology with Intersecting p-branes near the Singularity
• Locally Localized Gravity Models in Higher Dimensions
• Black-body radiation in extra dimensions
• White dwarf cooling and large extra dimensions
• Gravity in Dynamically Generated Dimensions
• Critical and Multicritical Semi-Random (1+d)-Dimensional Lattices and Hard Objects in d Dimensions
• A new topological aspect of the arbitrary dimensional topological defects
• Multidimensional Phase Space and Sunset Diagrams
• Stückelberg Field Shiftting Quantization of Free-Particle on D-Dimensional Sphere
• Warped Geometry in Higher Dimensions with an Orbifold Extra Dimension
• The Spin-Statistics Theorem in Arbitrary Dimensions
• Thermodynamics of blackbody radiation in nonlinear electrodynamics