Theory for normal state critical Kapitza resistance of ⁴He

Abstract

We study a steady state bearing a heat current, Q₀, in the normal state of liquid ⁴He with constraining geometry, near the lambda point, at temperatures T greater than the lambda temperature, Тλ. Critical order parameter fluctuations near the boundary are incorporated in the expression for the non-local thermal resistivity. The Kapitza resistance is manifested by the additional temperature rise at the boundary, as compared with the bulk-extrapolated value. Sensitivity of the calculations to the application of the Dirichlet boundary condition is discussed.