Viscosity of Fermi Particle Systems
The quantum-statistical expression for the viscosity coefficient in terms of time correlation functions is calculated for Fermi gases, and an interpolation formula valid in the entire region of temperature is derived. The formula for the viscosity gives the temperature dependence of T-2 in the extremely degenerate case, and leads to Uehling's expression for the quantum correction in the slightly degenerate case, and to the Enskog-Chapman theory in the classical limit. The behavior in the intermediate temperature region between the extremely and slightly degenerate cases is determined with numerical calculation by using the S-wave approximation. It is shown that the minimum of the viscosity occurs at about 0.6 Tc, Tc being the degeneracy temperature. These results are used to discuss Zinov'eva's (J. Exptl. Theor. Phys., 34: employing Landau's theory of Fermi liquid. The effective mass and the degeneracy temperature are determined from experiments on the heat capacity, as m = 2.34 m/sub 0/ and T/sub C/ = 2.13 deg K. Agreement is obtained below about T = 0.6 deg K by assuming a = 1.158 x 10/sup -8/ cm for the scattering amplitude describing the collision between quasi-particles.
- Research Organization:
- Kyushu Univ., Fukuoka (Japan)
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-16-012377
- OSTI ID:
- 4798570
- Journal Information:
- Progress of Theoretical Physics (Kyoto), Vol. 26, Issue 6; Other Information: Orig. Receipt Date: 31-DEC-62; ISSN 0033-068X
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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