Speaker
Description
Hydrodynamics is the effective field theory description of many-body systems close to thermal equilibrium at large distances and late times. The dynamics of these systems are governed by the conservation of energy, momentum and charge. However, in certain cases, e.g., when spatial translation invariance is broken, these hydrodynamic currents decay slowly rather than remain conserved, necessitating a modification to the standard hydrodynamic framework, known as relaxed hydrodynamics.
In this talk, I will explore how to incorporate relaxations into the description of entropy generating flows for fluids that reach a steady state under an applied electric field. Specifically, we aimed to construct a hydrodynamic theory that aligns with Drude's model of electron transport. In the conventional hydrodynamic formulation of a charged fluid under an external electric field, the stationary state arises when the electric field is balanced by the gradient of the chemical potential. This approach treats the electric field and the fluid velocity as independent degrees of freedom, which contrasts with Drude's model.
To resolve this discrepancy, I discuss a boost-agnostic hydrodynamic model with modified hydrostatic constraints. After pointing out the relation between the energy and momentum relaxation in the presence of dissipation in our model, I will present the computed thermo-electric conductivities. We find that imposing Onsager reciprocity leads to a zero incoherent conductivity. Furthermore, the AC thermo-electric conductivities exhibit a Drude-like form. This model thus provides a refined hydrodynamic description that includes Drude’s theory within a hydrodynamic formalism.
