Low Temperature Physics: 42, 1071 (2016); https://doi.org/10.1063/1.4973003
Fizika Nizkikh Temperatur: Volume 42, Number 12 (December 2016), p. 1368-1371    ( to contents , go back )

Quasilinear theory of quantum Fermi liquid

Nodar L. Tsintsadze and Davit M. Alkhanishvili

Faculty of Exact and Natural Sciences and E. Andronikashvili Institute of Physics, Javakhishvili Tbilisi State University Tbilisi 0128, Georgia
E-mail: nltsin@yahoo.com

Received May 1, 2016


Quasilinear theory of a weakly turbulent quantum Fermi liquid is presented. Landau’s linear theory of Fermi liquids is generalized by consideration of weak nonlinear regime. A newly derived kinetic equation of the Fermi particles is used to derive a slowly varying distribution function f0, which satisfies the diffusion equation. It is shown that the magnitude of the diffusion coefficient D depends on weak interactions between atoms and the de Broglie waves diffraction.

PACS: 67.30.–n 3He;
PACS: 71.10.Ay Fermi-liquid theory and other phenomenological models;
PACS: 74.20.Mn Nonconventional mechanisms.

Key words: Fermi liquid, quasiparticles, quasilinear theory.

Published online: October 24, 2016

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