Equations of Two-Fluid Hydrodynamics of Superfluid Helium with the Account of Electric Fields

TL;DR

This paper derives two-fluid hydrodynamic equations for superfluid helium considering electric fields, using a kinetic approach and experimental data to determine a key phenomenological parameter.

Contribution

It introduces a new set of hydrodynamic equations incorporating electric fields in superfluid helium, with a method to estimate phenomenological parameters from experiments.

Findings

Derived equations using kinetic approach and quasi-equilibrium distribution.

Estimated phenomenological parameter from experimental data.

Applicable in temperature range 1.4-2 K where roton dynamics dominate.

Abstract

System of two-fluid hydrodynamics of superfluid helium with the account of electric field is obtained. These equations are obtained in kinetic approach using quasi-equilibrium distribution function of quasi-particles, which vanishs collision integral of quasi-particles, and contains dependence on electric field by means of phenomenological parameter {\alpha}. Using experimental data at temperature range of 1,4 - 2 K, where basic role plays roton hydrodynamics, the value of phenomenological parameter, is obtained.