On the temperature behavior of second sound and Poiseuille flow |
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Authors: | H Beck |
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Institution: | 1. Institut für Theoretische Physik, Universit?t Zürich, Zürich, Switzerland 2. IBM Forschungslaboratorium, S?umerstra?e, CH-8803, Rüschlikon, Switzerland
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Abstract: | The linearized Peierls equation for the phonon densityN (k λ,r t) is solved by replacing the collision operator in the subspace orthogonal to the collision invariants byk-dependent relaxation rates. For the normal process relaxation time the behaviorτ N (k λ)∝|k|?p for smallk is assumed. Taking into account thisk-dependence ofτ N explicitly and avoiding an expansion with respect toΩτ N (kλ) before performing the necessary integration overk yields new, non-analytic, terms in the hydrodynamic equations describing second sound and Poiseuille flow. It is shown that this may lead to a temperature dependence of second sound damping and thermal conductivity in the Poiseuille flow region differing from the usual theoretical predictions and in better agreement with experiments. |
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