Zeitschrift für Physik B Condensed Matter

, Volume 84, Issue 3, pp 443–456 | Cite as

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

  • D. Frank
  • V. Dohm


We present a unified description of the critical thermal boundary resistance (Kapitza resistance)R K 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 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 belowTλ. Good quantitative agreement is found belowTλ. AboveTλ the measured effective exponent ofR K is consistent with our prediction but the magnitude ofR K differs considerably.


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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • D. Frank
    • 1
  • V. Dohm
    • 1
  1. 1.Institut für Theoretische PhysikTechnische Hochschule Aachen, SommerfeldstrasseAachenFederal Republic of Germany

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