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Scaling and universality of the thermal conductivity of liquid 4 near the superfluid transition and in restricted geometries
 

Summary: Scaling and universality of the thermal conductivity of liquid 4
He
near the superfluid transition and in restricted geometries
Edgar Genio a
, Daniel Murphy a
, Guenter Ahlers a,*, Fengchuan Liu b
, Yuanming Liu b
a
Department of Physics and iQUEST, University of California, Santa Barbara, CA 93106, USA
b
Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109, USA
Received 20 February 2003; accepted 11 March 2003
Abstract
We present measurements of the thermal conductivity k(t,P,L)=l/q(t,P,L) near the superfluid transition of 4
He at saturated
vapor pressure and confined in cylindrical geometries with radii L = 0.5 and 1.0 lm (t " T/Tk(P) 1). For L = 1.0 lm measurements
at six pressures P are presented. At and above Tk the data are consistent with a universal scaling function F(X) = (L/no)x/m
(q/q0), X = (L/no)1/m
t valid for all P (q0 and x are the pressure-dependent amplitude and effective exponent of the bulk resistivity
q(t,P,1) = q0tx

  

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

 

Collections: Physics