19780123
We give an explicit solution for the mean velocity of a Brownian particle that is subject simultaneously to a spatially sinusoidal and a constant force. An application is made to the superconducting surface sheath of lead, wherein the fluxoids are represented by Brownian particles. When Brownian mean velocity curves are fitted to experimental voltage-current curves, we find that the parameter values are physically reasonable provided that interactions among the fluxoids are taken into account. The fluxoids move, in effect, as collections of about 100 fluxoids.
Similar content being viewed by others
References
P. S. Swartz ans H. R. Hart Jr.; Phys. Rev. 137, A818 (1965); R. V. Bellau, Phys. Lett. 21, 13 (1966).
C. Tong, M. A. Thesis, Wesleyan University (1974), unpublished.
L. Caldwell, M. A. Thesis, Wesleyan University (1976), unpublished.
H. R. Hart Jr. and P. S. Swartz, Phys. Rev. 156, 403 (1967).
J. Gosselin, J. Silcox, and J. U. Trefny, Phys. Rev. B 2, 4508 (1970).
J. F. Wagner and R. W. Rollins, J. Appl. Phys. 44, 1778 (1973).
I. O. Kulik, Zh. Eksp. Teor. Fiz. 55, 889 (1968) [Sov. Phys.—JETP 28, 461 (1969)].
J. U. Trefny, J. Low Temp. Phys. 26, 545 (1977), see also E. V. Minenko, Sov. J. Low Temp. Phys. 2, 1 (1976).
K. Yamafuji and F. Irie, Phys. Lett. 25A, 387 (1967).
V. Ambegaokar and B. I. Halperin, Phys. Rev. Lett. 22, 1364 (1969).
P. Fulde, L. Pietronero, W. R. Schneider, and S. Strässler, Phys. Rev. Lett. 35, 1776 (1975).
P. W. Anderson, Phys. Rev. Lett. 9, 309 (1962).
H. A. Kramers, Physica 7, 284 (1940).
M. von Smoluchowski, Phys. Z. 17, 585 (1916).
R. E. Mayo, M. A. Thesis, Wesleyan University (1977), unpublished.
Y. B. Kim and M. J. Stephen, in Superconductivity, R. D. Parks, ed. (Marcel Dekker, New York, 1969).
J. R. Waldram, A. B. Pippard, and J. Clarke, Phil. Trans. R. Soc. Lond. A 268, 265 (1970).
M. Tinkham, Introduction to Superconductivity (McGraw-Hill, New York, 1975), p. 176.
J. Bardeen and M. J. Stephen, Phys. Rev. 140, A1197 (1965).
Y. L. Luke, Integrals of Bessel Functions (McGraw-Hill, New York, 1962), p. 294.
G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University Press, Cambridge, 1944), Section 5.4.
M. Abramowitz and I. Stegun, A Handbook of Mathematical Functions (Dover, New York, 1970), p. 256.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Mayo, R.E., Baierlein, R. & Trefny, J. Brownian motion and the superconducting surface sheath. J Low Temp Phys 33, 377–391 (1978). https://doi.org/10.1007/BF00115007
Issue Date:
DOI: https://doi.org/10.1007/BF00115007