Type of Publication:  Journal article 
Author:  Haussmann, Rudolf 
Year of publication:  2012 
Published in:  Physical Review B ; 85 (2012), 10.  ISSN 10980121.  eISSN 10953795 
DOI (citable link):  https://dx.doi.org/10.1103/PhysRevB.85.104518 
Summary: 
The superfluid/normalfluid interface of liquid 4He is investigated in gravity on earth where a small heat current Q flows vertically upward or downward. We present a local space and timedependent renormalizationgroup (RG) calculation based on model F which describes the dynamic critical effects for temperatures T near the superfluid transition T_lambda. The modelF equations are rewritten in a dimensionless renormalized form and solved numerically as partial differential equations. Perturbative corrections are included for the spatially inhomogeneous system within a selfconsistent oneloop approximation. The RG flow parameter is determined locally as a function of space and time by a constraint equation which is solved by a Newton iteration. As a result we obtain the temperature profile of the interface. Furthermore we calculate the average order parameter <psi>, the correlation length xi, the specific heat C_Q and the thermal resistivity rho_T where we observe a rounding of the critical singularity by the gravity and the heat current. We compare the thermal resistivity with an experiment and find good qualitative agreement. Moreover we discuss our previous approach for larger heat currents and the selforganized critical state and show that our theory agrees with recent experiments in this latter regime.

PACS Classification:  67.25.dg, 67.25.dj, 64.60.Ht, 64.60.ae 
Subject (DDC):  530 Physics 
Bibliography of Konstanz:  Yes 
Files  Size  Format  View 

There are no files associated with this item. 
HAUSSMANN, Rudolf, 2012. Renormalizationgroup calculation of the superfluid/normalfluid interface of liquid 4He in gravity near T_lambda. In: Physical Review B. 85(10). ISSN 10980121. eISSN 10953795. Available under: doi: 10.1103/PhysRevB.85.104518
@article{Haussmann2012Renor22024, title={Renormalizationgroup calculation of the superfluid/normalfluid interface of liquid 4He in gravity near T_lambda}, year={2012}, doi={10.1103/PhysRevB.85.104518}, number={10}, volume={85}, issn={10980121}, journal={Physical Review B}, author={Haussmann, Rudolf} }