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Theory of helium under heat flow near the λ point. I. Interface of He I and He II

Theory of helium under heat flow near the λ point. I. Interface of He I and He II A He I-He II interface is shown to exist under heat flow and is studied near the λ point. The temperature in the superfluid region is found to be of the form Tλ −T ∝ Q3/4 if dynamic scaling is assumed, where Tλ is the critical temperature andQ is the heat flow. In the normal region the temperature has a finite gradient. Here we are neglecting a small thermal resistance due to vortices in the superfluid region. In a finite system with size much greater than the correlation length a first-order phase transition occurs as an inverted bifurcation as the temperature at the cooler boundary is lowered slightly below Tλ. Namely, the system will jump from the disordered state to a state in which the two phases are separated by an interface. The theory can be constructed analogously to the theory of superconductors in a magnetic field. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Low Temperature Physics Springer Journals

Theory of helium under heat flow near the λ point. I. Interface of He I and He II

Journal of Low Temperature Physics , Volume 50 (6) – Nov 6, 2004

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References (21)

Publisher
Springer Journals
Copyright
Copyright
Subject
Physics; Condensed Matter Physics; Characterization and Evaluation of Materials; Magnetism, Magnetic Materials
ISSN
0022-2291
eISSN
1573-7357
DOI
10.1007/BF00683489
Publisher site
See Article on Publisher Site

Abstract

A He I-He II interface is shown to exist under heat flow and is studied near the λ point. The temperature in the superfluid region is found to be of the form Tλ −T ∝ Q3/4 if dynamic scaling is assumed, where Tλ is the critical temperature andQ is the heat flow. In the normal region the temperature has a finite gradient. Here we are neglecting a small thermal resistance due to vortices in the superfluid region. In a finite system with size much greater than the correlation length a first-order phase transition occurs as an inverted bifurcation as the temperature at the cooler boundary is lowered slightly below Tλ. Namely, the system will jump from the disordered state to a state in which the two phases are separated by an interface. The theory can be constructed analogously to the theory of superconductors in a magnetic field.

Journal

Journal of Low Temperature PhysicsSpringer Journals

Published: Nov 6, 2004

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