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arXiv · 2302.13042

Effect of time-varying electromagnetic field on Wiedemann-Franz law in a hot hadronic matter

Kamaljeet Singh·Jayanta Dey·Raghunath Sahoo·Sabyasachi Ghosh
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Abstract

We have estimated the electrical and thermal conductivity of a hadron resonance gas for a time-varying magnetic field, which is also compared with constant and zero magnetic field cases. Considering the exponential decay of electromagnetic fields with time, a kinetic theory framework can provide the microscopic expression of electrical and thermal conductivity in terms of relaxation and decay times. In the absence of the magnetic field, only a single time scale appears, and in the finite magnetic field case, their expressions carry two-time scales, relaxation time and cyclotron time period. Estimating the conductivities for HRG matter in three cases -- zero, constant, and time-varying magnetic fields, we have studied the validity of the Wiedemann-Franz law. We noticed that at a high-temperature domain, the ratio saturates at a particular value, which may be considered as Lorenz number of the hadron resonance gas. With respect to the saturation values, the deviation of the Wiedemann-Franz law has been quantified at the low-temperature domain. For the first time, the present work sketches this quantitative deviation of the Wiedemann-Franz law for hadron resonance gas at a constant and a time-varying magnetic field.

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Kamaljeet Singh, Jayanta Dey, Raghunath Sahoo, Sabyasachi Ghosh. 2023-02-25. Effect of time-varying electromagnetic field on Wiedemann-Franz law in a hot hadronic matter. https://doi.org/10.1103/physrevd.108.094007

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