Hydrodynamic modes in 3He–4He mixtures at the critical point

1969 ◽  
Vol 47 (4) ◽  
pp. 429-434 ◽  
Author(s):  
Allan Griffin
Keyword(s):  
Critical Point ◽  
Second Sound ◽  
Diffusion Mode ◽  
Hydrodynamic Modes ◽  
Fluid Hydrodynamics ◽  
Two Fluid ◽  
Critical Mixing

At the critical mixing point of 3He–4He mixtures, the amplitudes of both the nonpropagating diffusion mode and second sound may become anomalously large. The damping of these two critical modes is discussed on the basis of Khalatnikov's two-fluid hydrodynamics.

scholarly journals Two-fluid hydrodynamics of a Bose gas including damping from normal fluid transport coefficients

2000 ◽  
Vol 78 (5-6) ◽  
pp. 415-432 ◽  
Author(s):  
T Nikuni ◽  
A Griffin ◽  
E Zaremba
Keyword(s):  
Fluid Transport ◽  
Transport Coefficients ◽  
Thermal Fluctuations ◽  
Bose Gas ◽  
Second Sound ◽  
Hydrodynamic Modes ◽  
Normal Fluid ◽  
Strongly Coupled ◽  
Fluid Hydrodynamics ◽  
Two Fluid

We extend our recent work on the two-fluid hydrodynamics of the condensate and noncondensate in a trapped Bose gas by including the dissipation associated with viscosity and thermal conduction in the thermal cloud. For purposes of illustration, we consider the hydrodynamic modes in the case of a uniform Bose gas. A finite thermal conductivity and shear viscosity give rise to a damping of the first and second sound modes, in addition to the damping found previously due to the lack of diffusive equilibrium between the condensate and noncondensate. The relaxational mode associated with this equilibration process is strongly coupled to thermal fluctuations and reduces to the usual thermal diffusion mode above the Bose-Einstein transition. In contrast to the standard Landau two-fluid hydrodynamics, we predict a damped mode centered at zero frequency, in addition to the usual second sound doublet.PACS Nos.: 03.75.Fi, 05.30Jp, 67.40.Db

scholarly journals Variational theory of two-fluid hydrodynamic modes at unitarity

2008 ◽  
Vol 77 (3) ◽  
Author(s):  
E. Taylor ◽  
H. Hu ◽  
X.-J. Liu ◽  
A. Griffin
Keyword(s):  
Variational Theory ◽  
Hydrodynamic Modes ◽  
Two Fluid

Nonlinear Taylor–Couette flow of helium II

1995 ◽  
Vol 283 ◽  
pp. 329-340 ◽  
Author(s):  
Karen L. Henderson ◽  
Carlo F. Barenghi ◽  
Chris A. Jones
Keyword(s):  
Couette Flow ◽  
Equations Of Motion ◽  
Experimental Results ◽  
Second Sound ◽  
Helium Ii ◽  
Vortex Lines ◽  
Taylor Couette ◽  
First Time ◽  
Two Fluid ◽  
Taylor Couette Flow

We solve the nonlinear two-fluid Hall–Vinen–Bekharevich–Khalatnikov equations of motion of helium II for the first time and investigate the configuration of quantized vortex lines in Taylor–Couette flow. The results are interpreted in terms of quantities which can be observed by measuring the attenuation of second sound. Comparison is made with existing experimental results.

Two-fluid hydrodynamics of a fluidized bed

1969 ◽  
Vol 1 (4) ◽  
pp. 65-69 ◽  
Author(s):  
Yu. A. Buevich
Keyword(s):  
Fluidized Bed ◽  
Fluid Hydrodynamics ◽  
Two Fluid
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