Abstract
Infinite homogeneous Fermi systems in the degenerate regime are described by the Uehling-Uhlenbeck equation. The eigenvalue problem associated with the linearized collision operator is solved analytically. Initial value problems are studied with the help of the spectral representation of the time evolution operator. The dynamic transport coefficients of the system can then be calculated in the framework of linear response theory. As an example the viscoelastic behaviour of the Fermi liquid is related to the relaxation of a quadrupole deformation in momentum space. In this connection also the coupling of the driving field to 2p-2h excitations will be discussed. The theory is applied to normal liquid3He and to nuclear matter.
Similar content being viewed by others
References
Vogel, J., Vogel, E., Toepffer, C.: Relaxation in a Fermi liquid. Ann. Phys. (NY) (to be published)
Rudnik, J.: J. Low Temp. Phys.40, 287 (1980)
Bedell, K., Pethick, C.J.: J. Low Temp. Phys.49, 213 (1982)
Nettleton, R.E.: J. Low Temp. Phys.22, 407 (1976)
Wölfle, P.: In: Progress in low temperature physics. Brewer, D.F. (ed.), Vol. VII. Amsterdam, Oxford, New York: North Holland 1978
Serene, J.W., Rainer, J.: Phys. Rep.101, No 4 (1983)
Landau, L.D.: Sov. Phys. JETP3, 920 (1957)
Lifshitz, E.M., Pitaevskii, L.P.: In: Physical kinetics. Course of theoretical physics. Vol. X, Sects. 74–75. Oxford: Pergamon Press 1981
Uehling, E.A., Uhlenbeck, G.E.: Phys. Rev.43, 552 (1933)
Toepffer, C., Wong, C.Y.: Phys. Rev.126, 1901 (1982)
Toepffer, C.: Z. Phys. A — Atoms and Nuclei305, 263 (1982)
Hess, S., Köhler, W.: Formeln zur Tensor-Rechnung. Erlangen: Palm und Enke 1980
Morel, P., Nozières, P.: Phys. Rev.126, 1901 (1962)
Brooker, G.A., Sykes, J.: Ann. Phys. (NY)74, 67 (1972)
Landau, L.D.: Sov. Phys. JETP5, 101 (1957)
Metropolis, N., Bivins, R., Storm, M., Turkevich, A., Miller, T.M., Friedlander, G.: Phys. Rev.110, 185 (1958)
Bennemann, K.H., Ketterson, J.B.: The physics of liquid and solid helium. Part II. New York: John Wiley & Sons Inc. 1978
Sykes, J., Brooker, G.A.: Ann. Phys. (NY)56, 1 (1970)
Abrikosov, A.A., Khalatnikov, I.M.: Rep. Prog. Phys.22, 329 (1959)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Vogel, J., Vogel, E., Hess, S. et al. Viscoelasticity of a Fermi liquid. Z. Physik B - Condensed Matter 60, 19–29 (1985). https://doi.org/10.1007/BF01312639
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01312639