Finite-size effects on the thermal conductivity of ^4He near T_λ

Abstract

We present results of a renormalization-group calculation of the thermal conductivity of confined ${}^4$He in a $L^2\times \infty$ geometry above and at $T_{\lambda }$ within model F with Dirichlet boundary conditions for the order parameter. We assume a heat flow parallel to the boundaries which implies Neumann boundary conditions for the entropy density. No adjustable parameters other than those known from bulk theory and static finite-size theory are used. Our theoretical results are compared with experimental data by Kahn and Ahlers.

2 pages, 2 figures

References in corpus (1)

• Non-universal size dependence of the free energy of confined systems near criticality

Cited by in corpus (2)

• Critical dynamics in thin films
• Finite-size effects in film geometry with nonperiodic boundary conditions: Gaussian model and renormalization-group theory at fixed dimension