Critical thermal boundary resistance of4He above and belowTλ: Renormalization-group theory
We present a unified description of the critical thermal boundary resistance (Kapitza resistance)RK of4He above and belowTλ. A local renormalization procedure is introduced that is well adapted to the inhomogeneous situation induced by the Dirichlet boundary conditions for the order parameter. The critical temperature dependence ofRK is calculated without an adjustment of parameters. The inadequacy of previous hydrodynamiclike approaches is discussed. The advantage of our local renormalization-group treatment is elucidated for the examples of the static surface energy and surface specific heat. Our theoretical result forRK is compared with experimental data above and belowTλ. Good quantitative agreement is found belowTλ. AboveTλ the measured effective exponent ofRK is consistent with our prediction but the magnitude ofRK differs considerably.
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