Date : April 4, 2023, 16:00 CEST

Ioannis Matthaiakakis (University of Genova)


Non-dissipative Electrically Driven Fluids

Abstract: Existing models of charged perfect fluids use as their starting point a thermal equilibrium state coupled to external sources, such as an external electric field. Consistency with thermal equilibrium requires said electric field to be either first order in the hydrodynamic derivative expansion and arbitrary or zeroth order and constrained by the chemical potential. This is in sharp contrast with experiments, where the electric field is both zeroth order, i.e. homogeneous across the fluid, and completely arbitrary. In this talk, I will show we can resolve this conundrum by defining a new class of stationary states hosting a completely arbitrary and zeroth order electric field. We achieve this by introducing suitable energy and momentum relaxation terms, balancing the effect of the electric field, into the hydrodynamic equations of a perfect boost-agnostic fluid. Solving these equations defines our class of states via constraining the spatial velocity profile, in a way reminiscent of the Drude model of electron transport. Our class of states exhibits non-trivial thermo-electric transport even at the ideal level, since it hosts non-zero DC electric and heat currents. [Based on ArXiv:2211.05791 with A. Amoretti, D. K. Brattan and L. Martinoia]