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

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.

Same as the published version in Phys. Rev. D

References in corpus (25)

• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• On the Strongly-Interacting Low-Viscosity Matter Created in Relativistic Nuclear Collisions
• Centrality dependence of charged hadron and strange hadron elliptic flow from sqrt(s_NN) = 200 GeV Au+Au collisions
• Electrical Conductivity of Quark-Gluon Plasma in Strong Magnetic Fields
• Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
• Electromagnetic radiation by quark-gluon plasma in magnetic field
• Hydrodynamic approach to two-dimensional electron systems
• Bulk Viscosity of Quark-Gluon Plasma in Strong Magnetic Fields
• Anisotropic transport properties of Hadron Resonance Gas in magnetic field
• Electrical conductivity and Hall conductivity of hot and dense hadron gas in a magnetic field: a relaxation time approach
• Transport coefficients in Polyakov quark meson coupling model: a relaxation time approximation
• Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory:a relaxation time approach
• Nonlinear electromagnetic response in quark-gluon plasma
• A real-time thermal field theoretical analysis of Kubo-type shear viscosity : Numerical understanding with simple examples
• The nucleon thermal width due to pion-baryon loops and its contribution in Shear viscosity
• Comparison of results from a 2+1D relativistic viscous hydrodynamic model to elliptic and hexadecapole flow of charged hadrons measured in Au-Au collisions at $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV
• Transport coefficients of two-flavor superconducting quark matter
• Electrical Conductivity of Dense Quark Matter with Fluctuations and Magnetic Field Included
• Electrical conductivity of hadronic matter from different possible mesonic and baryonic thermal fluctuations
• Conductivity, diffusivity, and violation of Wiedemann-Franz Law in a hadron resonance gas with van der Waals interactions
• Quantum expression for the electrical conductivity of massless quark matter and of the hadron resonance gas in the presence of a magnetic field
• Thermal and thermoelectric responses of hot QCD medium in time-varying magnetic fields
• Anomalous magnetohydrodynamics with constant anisotropic electric conductivities
• Electromagnetic response in an expanding quark-gluon plasma
• Magnetic field-dependent electric charge transport in hadronic medium at finite temperature

Cited by in corpus (10)

• Thermal conductivity of evolving quark-gluon plasma in the presence of a time-varying magnetic field
• Electric field induction in quark-gluon plasma due to thermoelectric effects
• Magnetic field dependence of the neutral pion longitudinal screening mass in the linear sigma model with quarks
• Mean free path of photons in relativistic heavy ion collisions
• Thermoelectric effects of an interacting hadron gas in the presence of an external magnetic field
• Transport Coefficients of relativistic matter: A detailed formalism with a gross knowledge of their magnitude
• Thermoelectric Thomson coefficient of quark-gluon plasma in the presence of a time-varying magnetic field
• Wiedemann-Franz law violation domain for graphene and nonrelativistic systems
• Soret and Dufour effects in hot and dense QCD matter
• Magneto-Thomson and transverse Thomson effects in an interacting hadron gas in the presence of an external magnetic field