Abstract
One-dimensional structures such as defect lines or chains of dipolar particles are generally subject to strong Landau-Peierls thermal fluctuations. Coupling between these fluctuations in parallel lines may lead to an attractive force, analogous to the London force, or to a repulsive force of entropic origin. We analyze these forces for chains of electric dipoles and for flux lines in isotropic superconductors. In the first case the force is attractive, and can significantly change the Hamaker constant, which governs the attraction between colloidal particles. In the second case, over much of the magnetic field-temperature phase diagram the force is repulsive, and dominates over the direct repulsive interaction between flux lines.
Similar content being viewed by others
References
A. L. Fetter and P. C. Hohenberg, inSuperconductivity, R. D. Parks, ed. (Marcel Dekker, New York, 1969), pp. 817ff.
B. I. Halperin, inPhysics of Low-Dimensional Systems, Y. Nagaoka and S. Hikami, eds. (Publication Office, Progress in Theoretical Physics, Kyoto, 1979).
P. G. de Gennes,Physics of Liquid Crystals (Oxford University Press, New York, 1974).
P. G. de Gennes and J. Matricon,Rev. Mod. Phys. 36:43 (1964); A. L. Fetter, P. C. Hohenberg, and P. Pincus,Phys. Rev. 147:140 (1966).
R. E. Rosenweig,Ferrohydrodynamics (Cambridge University Press, Cambridge, 1985); G. Helgesen, A. T. Skjeltorp, P. M. Mors, R. Botet, and R. Jullien,Phys. Rev. Lett. 61:1736 (1988).
A. P. Gast and C. F. Zukoski,Adv. Colloid Interface Sci. 30:153 (1989).
E. M. Lifshitz and L. P. Pitaevskii,Statistical Physics (Pergamon, Oxford, 1980), pp. 432ff.
D. R. Nelson,Phys. Rev. Lett. 60:1973 (1988); D. R. Nelson and H. S. Seung,Phys. Rev. B 39:9153 (1989); D. R. Nelson,J. Stat. Phys. 57:511 (1989).
P. L. Gammel, L. F. Schneemeyer, J. V. Waszczak, and D. J. Bishop,Phys. Rev. Lett. 61:1666 (1988).
A. I. Larkin,Zh. Eksp. Teor. Fiz. 58:1466 (1970).
M. P. A. Fisher,Phys. Rev. Lett. 62:1415 (1989); D. S. Fisher, M. P. A. Fisher, and D. A. Huse, to be published.
F. London,Z. Phys. Chem. B 11:222 (1930); I. E. Dzyaloshinskii, E. M. Lifshitz, and L. P. Pitaevski,Adv. Phys. 10:165 (1961).
W. H. Keesom,Phys. Z. 22:129 (1921); J. Mahanty and B. W. Ninham,Dispersion Forces (Academic Press, San Francisco, 1976), pp. 1–33.
W. Helfrich,Z. Naturforsch. A 33:305 (1978); S. N. Coppersmith, D. S. Fisher, B. I. Halperin, P. A. Lee, and W. F. Brinkman,Phys. Rev. Lett. 46:549 (1981).
G. F. Carrier, M. Krook, and C. E. Pearson,Functions of a Complex Variable (McGraw-Hill, New York, 1966), pp. 220ff.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Halsey, T.C., Toor, W. Fluctuation-induced couplings between defect lines or particle chains. J Stat Phys 61, 1257–1281 (1990). https://doi.org/10.1007/BF01014374
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01014374