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Instabilities and melting in a two-dimensional magnetic dipolar system

Author

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  • Berger, J.
  • Hornreich, R.M.
  • Warner, M.

Abstract

A monolayer of spherical non-magnetic inclusions in a paramagnetic fluid is known to crystallize in the presence of a perpendicular magnetic field. It is shown, as a function of increasing layer thickness, that an initially stable 2D triangular monolayer becomes unstable with respect to a quasi-2D centered rectangular structure. The latter then becomes unstable with respect to a quasi-2D square lattice. Both transitions are continuous and Ising-like. The order parameter characterizing the initial transition is an out-of-plane distortion mode while that of the second is in-plane. An estimate of the melting temperature of the quasi-2D structures is given—above this temperature, the time-averaged out-of-plane deviation at each site is zero and the 2D triangular structure is stable. Thus only below this lattice-to-lattice melting point would the quasi-2D structures be observable.

Suggested Citation

  • Berger, J. & Hornreich, R.M. & Warner, M., 1993. "Instabilities and melting in a two-dimensional magnetic dipolar system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 194(1), pages 199-208.
    • Handle: RePEc:eee:phsmap:v:194:y:1993:i:1:p:199-208
    DOI: 10.1016/0378-4371(93)90354-7
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    References listed on IDEAS

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    1. A. I. Macbean, 1962. "Problems Of Stabilization Policy In Underdeveloped Countries," Oxford Economic Papers, Oxford University Press, vol. 14(3), pages 251-266.
    2. Frank de Leeuw & Michael J. McKelvey, 1981. "Price Expectations of Business Firms," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 12(1), pages 299-314.
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