Transport properties of Fermi fluids at finite temperatures

Abstract

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.

Transport properties of the Fermi hard-sphere system

“…The dot-dash and solid lines represent the results of calculations carried out using the first and second order approximations for the effective mass, respectively, while the dashed line shows the results of the low-density expansion of Ref. [28], including terms of order up to c. fermion hard-sphere system at density corresponding to c = 0.4-computed with the CBF effective interaction following the procedure described in I-to those reported in Ref. [29], obtained using a quantum Monte Carlo technique.…”

“…For comparison the prediction of the low-density expansion of Ref. [28] is also shown. Overall, the emerging pattern reflects the one observed in Fig.…”

“…The dot-dash and solid lines represent the results of calculations carried out using the first and second order approximations for the effective mass, respectively, while the dashed line shows the results of the low-density expansion of Ref. [28], including terms of order up to c.…”

Effective-interaction approach to the Fermi hard-sphere system

“…Further insight into the accuracy of the effective interaction approach may be gained from its extension to the study of quasiparticle scattering, which has been also investigated using Landau's kinetic theory [35], as well as of transport properties [36].…”

“…The analysis of the ground state energy, in which the expansion in powers of c can be tested against accurate upper bounds obtained from the variational FHNC approach, suggests that the discrepancies observed a larger k F are likely to be ascribed to contributions of higher order terms in the low-density expansion. Further insight on the accuracy of the effective interaction approach may be gained from its extension to the study of quasiparticle scattering, which has been also investigated using Landau's kinetic theory [33], as well as of transport properties [34].…”