Renormalization-group calculation of the superfluid/normal-fluid interface of liquid He-4 in gravity near T-lambda | |
Article | |
关键词: NONUNIVERSAL CRITICAL PHENOMENA; SELF-ORGANIZED CRITICALITY; NONLINEAR HEAT-TRANSPORT; MUTUAL FRICTION; HELIUM-II; THERMAL-CONDUCTIVITY; 3 DIMENSIONS; VAPOR-PRESSURE; CRITICAL-STATE; HE-4; | |
DOI : 10.1103/PhysRevB.85.104518 | |
来源: SCIE |
【 摘 要 】
The superfluid/normal-fluid interface of liquid He-4 is investigated in gravity on earth where a small heat current Q flows vertically upward or downward. We present a local space- and time-dependent renormalization-group (RG) calculation based on model F, which describes the dynamic critical effects for temperatures T near the superfluid transition T-lambda. The model-F equations are rewritten in a dimensionless renormalized form and solved numerically as partial differential equations. Perturbative corrections are included for the spatially inhomogeneous system within a self-consistent one-loop approximation. The RG flow parameter is determined locally as a function of space and time by a constraint equation, which is solved by a Newton iteration. As a result we obtain the temperature profile of the interface. Furthermore, we calculate the average order parameter
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