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Finite-Size Scaling and Universality of the Thermal Resistivity of Liquid 4 Daniel Murphy,1

Summary: Finite-Size Scaling and Universality of the Thermal Resistivity of Liquid 4
He near T
Daniel Murphy,1
Edgar Genio,1
Guenter Ahlers,1
Fengchuan Liu,2
and Yuanming Liu2
Department of Physics and iQUEST, University of California, Santa Barbara, California 93106
Jet Propulsion Laboratory, California Institute of Technology, Pasadena, California 91109
(Received 29 August 2002; published 13 January 2003)
We present measurements of the thermal resistivity t; P; L near the superfluid transition of 4He at
saturated vapor pressure and confined in cylindrical geometries with radii L 0:5 and 1:0 m [t
T=TP 1]. For L 1:0 m measurements at six pressures P are presented. At and above T the data
are consistent with a universal scaling function FX L=0x==0, X L=01=t valid for all P
(0 and x are the pressure-dependent amplitude and effective exponent of the bulk resistivity , and
is the correlation length). Indications of breakdown of scaling and universality are observed
below T.


Source: Ahlers, Guenter - Department of Physics, University of California at Santa Barbara


Collections: Physics