Velocity-Dependent Forces and Non-Hydrodynamic Initial Conditions in Quantum and Classical Fluids

Abstract

We consider a fermionic fluid in a non-equilibrium steady state where the fluctuation-dissipation theorem is not valid and fields conjugate to the hydrodynamic variables are explicitly required to determine response functions. We identify velocity-dependent forces in the kinetic equation that are equivalent to such fields. They lead to driving terms in the hydrodynamic equations and to corrections to the hydrodynamic initial conditions.

arXiv comment8pp, 1 fig

References in corpus (3)

• Fluctuating Quantum Kinetic Theory
• Rigidity and Superfast Signal Propagation in Fluids and Solids in Non-Equilibrium Steady States
• Non-Hydrodynamic Initial Conditions are Not Soon Forgotten

Cited by in corpus (1)

• A Fluctuation-Response Relation as a Probe of Long-Range Correlations in Non-Equilibrium Quantum and Classical Fluids