Low-temperature thermodynamics of Fermi fluids

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A method based on Landau's Fermi-fluid theory is presented jot calculating the temperature-dependent viscosity q and thermal conductivity tc of a Fermi .fluid. It is argued that both O(T) and O(T 2 In T) terms appear in the temperature series expansions for r/T 2 and ~r Exact expressions for the zero-temperature limit of qT 2 and ~cT are derived for the dilute hard-sphere Fermi gas (DHSFG). The leading finite-temperature corrections to these quantities due to the s dependence of the quasiparticle scattering amplitude are also derived for the DHFSG (s is a dimensionless ratio of energy transfer to momentum transfer). The results are compared with previous expressions of Emery and of Dy and Pethick: some discrepancies are noted and discussed.

Section: Geometry Of Possible Collisionsmentioning

confidence: 99%

Transport properties of Fermi fluids at finite temperatures

Rainwater

Mohling

1976

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“…4. In general the integral equation of (12) is difficult to solve because of the angular dependence of Pk" The center of mass integration in (12) as well as in (8) becomes complicated because of this. To make calculations feasible we shall make the simplifying approximation that Pk = exp (-a -bk 2)…”

Section: Self-consistent Occupation Probabilitiesmentioning

confidence: 99%

Energy-density relation for the ground state of a fermi liquid

Rao

1976

The energy~ensity relation for liquid helium-3 has been computed to first order in the reaction matrix occurring in the formalism of Mohling and his collaborators, using the Frost-Musulin potential. The single-particle potential and the binding energy have been computed in a completely self-consistent way without making any of the usual approximations such as the effective-mass approximation, etc. The first-order calculations give a binding energy of -0.85 K at a Fermi momentum k v = 0.80 ~-t.

“…(a) If time is given an upward direction in the figure, then this represents the scattering of quasiparticles in states (3,4) into quasiparticles in states (1, 2).…”

Section: Direction Of Time In Diagramsmentioning

confidence: 99%

“…(b) If time is given a downward direction, it represents the scattering of quasiholes in states (1, 2) into quasiholes in states (3,4), where a "quasihole" is simply the absence of a quasiparticle.…”

Section: Direction Of Time In Diagramsmentioning

confidence: 99%

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Quasiparticle scattering in Fermi fluids

Mohling

Rainwater

1975

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The scattering of quasiparticles in a normal Fermi fluid is analyzed within the framework of Landau's kinetic theory, and a generalized Bethe-Salpeter equation for the scattering amplitude is derived. This integral equation accounts for both large and small momentum and energy transfers; in the forwardscattering limit it reduces to Landau's well-known equation. An explicit expression for the scattering probability is also derived. An off-diagonal generalization of the quasiparticle interaction function f is introduced and its calculation from microscopic theory is discussed. The results are applied to an explicit calculation of the scattering amplitude in a dilute hard-sphereFermi gas, to second order in the scattering-length parameter kva s, and the calculation is shown to be consistent with symmetry requirements for the scattering of fermions.