非线性电动力学中的黑体辐射热力学
Thermodynamics of blackbody radiation in nonlinear electrodynamics
AI总结：
本研究在非线性电动力学框架下，探究外磁场中光子气体的黑体辐射热力学特性，推导修正的相关定律与热力学量偏差，并分析三种非线性电动力学模型及对强磁场恒星系统的潜在意义。
摘要：
我们在非线性电动力学框架下研究光子气体的黑体特性与热力学平衡量。在此过程中，我们在弱场近似下考虑均匀外磁场中的光子传播，此时频谱中会出现角各向异性能量密度分布；我们还讨论了光子垂直于背景磁场传播的特殊情况，借此可探究强场区域。随后我们推导了该情形下修正后的黑体谱分布与Stefan-Boltzmann定律，也对Wien位移定律和Rayleigh-Jeans公式进行了考量。我们从Helmholtz自由能出发，得到了热平衡下能量、压强、熵、热容密度等热力学量的偏差。作为应用，我们研究了三种非线性电动力学，即Euler-Heisenberg电动力学、广义Born-Infeld电动力学与对数电动力学，并讨论了其对磁星等含强磁场恒星系统的潜在影响。
英文摘要：
We study the blackbody properties and the thermodynamic equilibrium quantities of a photon gas in the framework of nonlinear electrodynamics. In this vein, we take into account the photon propagation in a uniform external magnetic field in the weak field approximation, where an angular anisotropic energy density distribution appears in the frequency spectrum. The particular case when the photon propagates perpendicular to the background magnetic field is also discussed, which allows us to probe the strong field regime. We then derive a modified blackbody spectral distribution and the Stefan-Boltzmann law in this situation. Considerations about Wien's displacement law and the Rayleigh-Jeans formula are contemplated as well. Deviations from the thermodynamic quantities at thermal equilibrium such as energy, pressure, entropy, and heat capacity densities are obtained from the Helmholtz free energy. As an application, we study three nonlinear electrodynamics, namely, the Euler-Heisenberg, the generalized Born-Infeld, and the logarithmic electrodynamics. Possible implications on stellar systems with strong magnetic fields such as magnetars are discussed.
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