 
Summary: FiniteSize 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
1
Department of Physics and iQUEST, University of California, Santa Barbara, California 93106
2
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 ÿ 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 pressuredependent amplitude and effective exponent of the bulk resistivity , and
0tÿ
is the correlation length). Indications of breakdown of scaling and universality are observed
below T.
