Nonlinear heat transport near the λ transition in4He
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The effect of a finite stationary heat current is investigated in the spatially inhomogenous situation where the heat current induces an interface between normal-liquid and superfluid4He. The nonlinear temperature profile in the vicinity of the interface and the local thermal conductivity are calculated forT>Tλ within modelF up to oneloop order. The field-theoretic renormalization-group approach is employed to describe the critical behavior both in the linear and nonlinear response regime. The finite heat currentQ causes a finite temperature gradient atTλ and therefore suppresses the critical divergence of the thermal conductivity. Quantitative predictions are made on the nonlinearQ dependence of the temperature profile and of the thermal conductivity which should be experimentally observable.
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