Thermodynamics of a photon gas in nonlinear electrodynamics

Akmansoy, P. Niau; Medeiros, L. G.

doi:10.1016/j.physletb.2014.10.003

Cited by 7 publications

(8 citation statements)

References 56 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is convenient to put the relation (16) explicitly in terms of the electric and magnetic fields 43 . In this sense, by using the four wave vector k µ = (w/c, k), the dispersion relation assumes the form:…”

Section: A Modified Dispersion Relationmentioning

confidence: 99%

“…Indeed, at the temperatures well below the electron rest mass, the electron-positron concentration are exponentially small, i.e., proportional to exp −m e c 2 /k B T , and the contributions to the thermodynamics properties of the blackbody radiation mainly comes from the photon sector 44,45 . Furthermore, we will formulate the partition function in the grand canonical potential for the photon gas with zero chemical potential assuming the Bose-Einstein statistics 43,46 .…”

Section: B Blackbody Radiation and Thermodynamicmentioning

confidence: 99%

See 1 more Smart Citation

Thermodynamics of Blackbody Radiation in Nonlinear Electrodynamics

Soares¹,

Turcati²,

Duarte³

2023

Preprint

View full text Add to dashboard Cite

Section: A Modified Dispersion Relationmentioning

confidence: 99%

Section: B Blackbody Radiation and Thermodynamicmentioning

confidence: 99%

Thermodynamics of Blackbody Radiation in Nonlinear Electrodynamics

Soares¹,

Turcati²,

Duarte³

2023

Preprint

View full text Add to dashboard Cite

“…The signal ± in Eq. ( 10) indicates birefringence [47,56], i.e. the possible dependence of the photon propagation on its polarization, which is a typical phenomenon of NLED.…”

Section: Effective Metricmentioning

confidence: 99%

Non-linear effects on radiation propagation around a charged compact object

Cuzinatto

Melo

Vasconcelos

et al. 2015

Astrophys Space Sci

View full text Add to dashboard Cite

The propagation of non-linear electromagnetic waves is carefully analyzed on a curved spacetime created by static spherically symmetric mass and charge distribution. We compute how non-linear electrodynamics affects the geodesic deviation and the redshift of photons propagating near this massive charged object. In the first order approximation, the effects of electromagnetic self-interaction can be distinguished from the usual Reissner-Nordström terms. In the particular case of Euler-Heisenberg effective Lagrangian, we find that these self-interaction effects might be important near extremal compact charged objects.Generalizations of Maxwell electrodynamics have been proposed since it was established and they are motivated by several reasons such as experimental constraints on the eventual photon mass [1-3], classical aspects of vacuum polarization [4,5], electrodynamics in the context of strings and superstrings [6-10], etc. Among the several generalizations, there is a group known as Nonlinear Electrodynamics (NLED) which is characterized by presenting nonlinear field equations. Examples of NLED are Born-Infeld theory [11][12][13][14] and Euler-Heisenberg electrodynamics [4]. The former was proposed to limit the maximum value of the electric field of a point charge [15] and the last arises as an effective action of one-loop QED [16].Since the decade of 1980, several applications of NLED in the context of gravitation were proposed [17][18][19][20][21][22], including applications to cosmology [23][24][25][26][27][28][29] and spherically symmetric solutions of charged Black Holes (BH) [30][31][32][33][34][35][36]. Moreover, generalizations of Reissner-Nordström solution with NLED were studied where stability and thermodynamics properties of the BH were analyzed [37][38][39][40][41][42][43][44][45]. In particular, the geodesic motion of test particles around Born-Infeld BH was studied in Linares et al. [46] and references therein. However, in most of the papers found

show abstract

“…The parameter b has a connection to the tension of strings in the theory, [ 3,4 ] and there have been studies done to determine potential constraints for the value of b in refs. [5–11]. In contrast to the Euler– Heisenberg electrodynamics, [ 12 ] the Born– Infeld model does not show vacuum birefringence when subjected to an external electric field.…”

Section: Introductionmentioning

confidence: 99%

Non‐Linear Electrodynamics in Blandford–Znajek Energy Extraction

2023

View full text Add to dashboard Cite

Non‐linear electrodynamics (NLED) is a generalization of Maxwell's electrodynamics for strong fields. It has significant implications for the study of black holes and cosmology and has been extensively studied in the literature, extending from quantum to cosmological contexts. In this work, two new ways to investigate these non‐linear theories are investigated. First, the Blandford‐Znajek mechanism is analyzed in light of this promising theoretical context, providing the general form of the extracted power up to second order in the black hole spin parameter a. It is found that, depending on the NLED model, the emitted power can be extremely increased or decreased, and that the magnetic field lines around the black hole seem to become vertical quickly. Considering only separated solutions, it is found that no monopole solutions exist and this could have interesting astrophysical consequences (not considered here). Last but not least, it is attempted to confine the NLED parameters by inducing the amplification of primordial magnetic fields (“seeds”), thus admitting non‐linear theories already during the early stages of the Universe. However, the latter approach proves to be useful for NLED research only in certain models. These (analytical) results emphasize that the behavior of non‐linear electromagnetic phenomena strongly depends on the physical context and that only a power‐law model seems to have any chance to compete with Maxwell.

show abstract

Thermodynamics of a photon gas in nonlinear electrodynamics

Cited by 7 publications

References 56 publications

Thermodynamics of Blackbody Radiation in Nonlinear Electrodynamics

Thermodynamics of Blackbody Radiation in Nonlinear Electrodynamics

Non-linear effects on radiation propagation around a charged compact object

Non‐Linear Electrodynamics in Blandford–Znajek Energy Extraction

Contact Info

Product

Resources

About