scholarly journals On the Applicability of the Quasi-particle Transport Equation of Superfluid 3He at Low Temperatures

1977 ◽  
Vol 58 (3) ◽  
pp. 1068-1069 ◽  
Author(s):  
Y. A. Ono
Keyword(s):  
Transport Equation ◽  
Low Temperatures ◽  
Particle Transport ◽  
Superfluid 3He ◽  
Quasi Particle

SPIN DIFFUSION COEFFICIENT OF A1-PHASE OF SUPERFLUID 3He AT LOW TEMPERATURES

2009 ◽  
Vol 23 (12) ◽  
pp. 1603-1610 ◽  
Author(s):  
R. AFZALI ◽  
F. PASHAEE
Keyword(s):  
Diffusion Coefficient ◽  
Boltzmann Equation ◽  
Low Temperatures ◽  
Spin Diffusion ◽  
Superfluid 3He ◽  
Total Spin ◽  
Equation Approach ◽  
Fluid Component ◽  
Melting Pressure ◽  
Superfluid Component

The spin diffusion coefficient tensor of the A1-phase of superfluid 3 He at low temperatures and melting pressure is calculated using the Boltzmann equation approach and Pfitzner procedure. Then considering Bogoliubov-normal interaction, we show that the total spin diffusion is proportional to 1/T2, the spin diffusion coefficient of superfluid component [Formula: see text] is proportional to T-2, and the spin diffusion coefficient of super-fluid component [Formula: see text] is independent of temperature. Furthermore, it is seen that superfluid components play an important role in spin diffusion of the A1-phase.

Second viscosity of A1-phase of superfluid 3He at low temperatures

2010 ◽  
Vol 405 (4) ◽  
pp. 1050-1054 ◽  
Author(s):  
R. Afzali ◽  
F. Rahmati
Keyword(s):  
Low Temperatures ◽  
Superfluid 3He

Die Leitfähigkeit eines freien Elektronengases in einem Phononenbad nach der statistischen Thermodynamik irreversibler Prozesse

1963 ◽  
Vol 18 (12) ◽  
pp. 1351-1359
Author(s):  
Rudolf Klein
Keyword(s):  
Laplace Transform ◽  
Transport Equation ◽  
Low Temperatures ◽  
Body Problem ◽  
Complex Conductivity ◽  
Many Body ◽  
Free Electrons ◽  
Diagram Method ◽  
The Laplace Transform ◽  
The Many

The formulation of the many-body problem by MARTIN and SCHWINGER is applied to a system of free electrons interacting with a phonon bath. Simplifying the general expression for the wave vector and frequency dependent complex conductivity to the case of a static dc situation the conductivity is expressed in terms of the LAPLACE transform of an appropriate GREEN'S function. By means of a simple diagram method a transport equation for this function is derived. In the lowest approximation the solution of this equation gives the BLOCH-GRÜNEISEN law for the conductivity of metals at low temperatures.

The Dynamic Texture of Superfluid 3He-B at Very Low Temperatures and in High Magnetic Fields

2005 ◽  
Vol 138 (3-4) ◽  
pp. 583-588 ◽  
Author(s):  
D. I. Bradley ◽  
S. N. Fisher ◽  
A. M. Gu�nault ◽  
R. P. Haley ◽  
H. Martin ◽  
...  
Keyword(s):  
Magnetic Fields ◽  
Low Temperatures ◽  
Superfluid 3He ◽  
High Magnetic Fields ◽  
Dynamic Texture

Grid Turbulence in Superfluid 3He-B at Low Temperatures

2007 ◽  
Vol 150 (3-4) ◽  
pp. 364-372 ◽  
Author(s):  
D. I. Bradley ◽  
S. N. Fisher ◽  
A. M. Guénault ◽  
R. P. Haley ◽  
M. Holmes ◽  
...  
Keyword(s):  
Low Temperatures ◽  
Superfluid 3He ◽  
Grid Turbulence

scholarly journals Goal-based angular adaptivity applied to the spherical harmonics discretisation of the neutral particle transport equation

2014 ◽  
Vol 71 ◽  
pp. 60-80 ◽  
Author(s):  
Mark A. Goffin ◽  
Andrew G. Buchan ◽  
Anca C. Belme ◽  
Christopher C. Pain ◽  
Matthew D. Eaton ◽  
...  
Keyword(s):  
Transport Equation ◽  
Spherical Harmonics ◽  
Particle Transport ◽  
Neutral Particle ◽  
Neutral Particle Transport

Electrical and thermal resistivity of the transition elements at low temperatures

1959 ◽  
Vol 251 (995) ◽  
pp. 273-302 ◽  
Keyword(s):  
Electrical Resistivity ◽  
Transport Equation ◽  
Low Temperatures ◽  
Group Iv ◽  
Standard Theory ◽  
Thermal Resistivity ◽  
Transition Elements ◽  
Thermal Vibrations ◽  
The Ideal

The results of measurements on 20 transition elements are reported giving values for the thermal resistivity, W , from 2 to about 140 °K and for electrical resistivity, p , from 2 to about 300 °K. Values of the ‘ideal’ resistivities, W i and p i { (due to scattering of the electrons by thermal vibrations), are deduced from these and tabulated for various temperatures. Comparisons are made with values for Cu, Ag, Au and Na and with the predictions of the ‘standard’ theory, i.e. solutions of the transport equation developed by Bloch, Grüneisen, Wilson, etc. Excepting Mn, p i follows a Bloch—Grüneisen function tolerably down to op5, although slight anomalies are shown by V, Cr, Fe, Co and Ni; at low temperatures behaviour is varied but below 10 °K in Mn, Fe, Co, Ni, Pd, Pt and perhaps in W and Nb, p i appears to vary nearly as T<super>2</super>. The parameter, piM 6 & (at 273 °K) has rather similar values for different members of each group, e.g. for Ti, Zr and Hf of group IV A. The ideal thermal resistivity, Wif can generally be approximated by the relation, WiIW ao = 2(Tld)2J 5(dlT), although for many elements, W i falls more rapidly than T 2 below010. Measurements on the relatively poor conductors, e.g. Ti, Zr and Hf, suggest the presence of an appreciable lattice conductivity, which affects the confidence with which values can be deduced for W i in these elements.

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