Liquid 4He near the superfluid transition in the presence of a heat current and gravity

Abstract

The effects of a heat current and gravity in liquid 4He near the superfluid transition are investigated for temperatures above and below T_lambda. We present a renormalization-group calculation based on model F for the Green's function in a self-consistent approximation which in quantum many-particle theory is known as the Hartree approximation. The approach can handle a zero average order parameter above and below T_lambda and includes effects of vortices. We calculate the thermal conductivity and the specific heat for all temperatures T and heat currents Q in the critical regime. Furthermore, we calculate the temperature profile. Below T_lambda we find a second correlation length which describes the dephasing of the order parameter field due to vortices. We find dissipation and mutual friction of the superfluid-normal fluid counterflow and calculate the Gorter-Mellink coefficient A. We compare our theoretical results with recent experiments.

26 pages, 9 figures

Cited by in corpus (5)

• Criticality and Superfluidity in liquid He-4 under Nonequilibrium Conditions
• Self-organization in He4 near the superfluid transition in heat flow and gravity
• Second sound spectroscopy of a nonequilibrium superfluid-normal interface
• Mutual Friction in Superfluid He^4 Near the λ-line
• Renormalization-group calculation of the superfluid/normal-fluid interface of liquid 4He in gravity near T_lambda