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Critical thermal boundary resistance of4He above and belowT λ: Renormalization-group theory

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Zeitschrift für Physik B Condensed Matter

Abstract

We present a unified description of the critical thermal boundary resistance (Kapitza resistance)R K of4He above and belowT λ. 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 ofR K 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 forR K is compared with experimental data above and belowT λ. Good quantitative agreement is found belowT λ. AboveT λ the measured effective exponent ofR K is consistent with our prediction but the magnitude ofR K differs considerably.

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  1. Institut für Theoretische Physik, Technische Hochschule Aachen, Sommerfeldstrasse, W-5100, Aachen, Federal Republic of Germany

    D. Frank & V. Dohm

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  1. D. Frank
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  2. V. Dohm
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Frank, D., Dohm, V. Critical thermal boundary resistance of4He above and belowT λ: Renormalization-group theory. Z. Physik B - Condensed Matter 84, 443–456 (1991). https://doi.org/10.1007/BF01314020

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