Abstract
Modifying slightly Kubo's formulation of perturbation theory to take care of the fact that generalized susceptibility may not be zero at infinite frequency, we establish, in the classical limit, a general relation between covariance and generalized susceptibility. The relation is then applied to evaluate the covariances of the magnetic flux, currents, and magnetization of a superconducting cylinder. Expressions for the spectra of magnetic flux and magnetization are also obtained.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
R. Kubo,J. Phys. Soc. Japan 13:570 (1957).
L. D. Landau and E. M. Liftshitz,Statistical Physics, Pergamon Press, New York (1958), Chapter 12.
L. Vant-Hull, R. A. Simpkins, and J. T. Harding,Phys. Letters 24A:736 (1967).
W. R. Le Page,Complex Variables and Laplace Transform for Engineers, McGraw-Hill Publishing Co., New York (1961), 8–5, 10–12, 10–16.
R. Kubo,Rept. Progr. Phys. 29(Part 1):255 (1966).
R. E. Burgess,Can. J. Phys. 47:2583 (1969).
A. G. Sitenko,Electrodynamic Fluctuations in Plasma, Academic Press, New York (1967), pp. 15, 31.
J. Bardeen, L. N. Cooper, and J. R. Schrieffer,Phys. Rev. 108:1175 (1957).
P. G. De Gennes,Theory of Superconductivity, W. A. Benjamin, New York (1964), 1–4, 6–1.
A. A. Abrikosov,Soviet Phys.-JETP 5:1174 (1957); K. Maki,Physics 1:127 (1964).
P. G. De Gennes,Theory of Superconductivity, W. A. Benjamin, New York (1964), p. 226; K. Maki,Progr. Theoret. Phys. (Kyoto) 29:333 (1963);31:731 (1964); R. D. Parks (ed.),Superconductivity, Marcel Dekker, New York (1969), p. 1035.
P. G. De Gennes,Theory of Superconductivity, W. A. Benjamin, New York (1964), 6–4.
D H Douglass, Jr.,Phys. Rev. 132:513 (1963).
H. J. Lipkin, M. Peshkin, and L. J. Tassie,Phys. Rev. 126:116 (1962); V. L. Ginzburg,Soviet Phys.-JETP 15:207 (1962); L. T. Hsii and G. F. Zharkov,Soviet Phys.-JETP 17:462 (1963).
F. London,Superfluids, Vol. 1, Dover Publications, New York (1961), p. 151; N. Byers and C. N. Yang,Phys. Rev. Letters 7:46 (1961); L. Ousager,Phys. Rev. Letters 7:50 (1961); W. Brenig,Phys. Rev. Letters 7:337 (1961).
R. E. Burgess,Proc. Conference on Fluctuations in Superconductors, Asilomar (1968), pp. 47–79.
R. E. Burgess,Proc. Symposium on Physics of Superconducting Devices, Charlottesville (1967), pp. H1–H17.
F. London,Superfluids, Vol. 1, Dover Publications, New York (1967), p. 29.
J. Bardeen,Phys. Rev. Letters 1:399 (1958).
M. J. Stephen,Phys. Rev. 139A:197 (1965).
A. Schmidt,Phys. Kondensierten Materie 5:302 (1966).
P. C. Martin and J. Schwinger,Phys. Rev. 115:1342 (1959).
L. P. Kadanoff and P. C. Martin,Phys. Rev. 124: 670 (1959); A. W. B. Taylor,Proc. Phys. Soc. (London)78:1372 (1962).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Leung, M.C. A fluctuation-dissipation relation and its applications to thermodynamic fluctuations in superconducting cylinders. J Stat Phys 2, 305–322 (1970). https://doi.org/10.1007/BF01020440
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01020440