6533b7dafe1ef96bd126ecde
RESEARCH PRODUCT
Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
Etele MolnárEtele MolnárGabriel S. DenicolDirk H. RischkeDirk H. RischkeHarri NiemiHarri NiemiHarri Niemisubject
Nuclear TheoryFOS: Physical sciencesfluid dynamicsplasmafysiikka01 natural sciences114 Physical sciencesNuclear Theory (nucl-th)High Energy Physics - Phenomenology (hep-ph)Electric field0103 physical sciencesTHERMODYNAMICS010306 general physicsPhysicsta114010308 nuclear & particles physicsplasma physicsVlasov equationFluid Dynamics (physics.flu-dyn)Equations of motionCharge (physics)Physics - Fluid DynamicsDissipationBoltzmann equationPhysics - Plasma PhysicsPlasma Physics (physics.plasm-ph)High Energy Physics - PhenomenologyQuantum electrodynamicsDissipative systemMagnetohydrodynamicsmagnetohydrodynamicsdescription
We derive the equations of motion of relativistic, resistive, second-order dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation using the method of moments. We thus extend our previous work [Phys. Rev. D 98, 076009 (2018)], where we only considered the non-resistive limit, to the case of finite electric conductivity. This requires keeping terms proportional to the electric field $E^\mu$ in the equations of motions and leads to new transport coefficients due to the coupling of the electric field to dissipative quantities. We also show that the Navier-Stokes limit of the charge-diffusion current corresponds to Ohm's law, while the coefficients of electrical conductivity and charge diffusion are related by a type of Wiedemann-Franz law.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-03-28 |