Journal of Statistical Physics

, Volume 88, Issue 1, pp 471–486

Effect of local field fluctuations on orientational ordering in random-site dipole systems

Authors

  • B. E. Vugmeister
    • Department of ChemistryPrinceton University
  • H. Rabitz
    • Department of ChemistryPrinceton University
Articles

DOI: 10.1007/BF02508480

Cite this article as:
Vugmeister, B.E. & Rabitz, H. J Stat Phys (1997) 88: 471. doi:10.1007/BF02508480

Abstract

Some peculiarities of dipole ordering in systems with uniaxial or cubic anisotropy with an arbitrary degree of dilution are analyzed in terms of random local field theory. The approach takes into account the effect of thermal and spatial fluctuations of the local fields acting on each particle from its neighbors with an accuracy corresponding to that of the Bethe-Paierls pair clusters approach. We show that ferromagnetic (ferroelectric) structure for uniaxial Ising dipoles distributed on a simple cubic lattice is intrinsically unstable against the fluctuations of the local fields for any concentration of the dipoles. This result is quite different from the prediction of the mean-field theory which implies the possibility of ferromagnetic ordering as a metastable state in field-cooled experiments. The local field fluctuations do not exclude, however, antiferromagnetic ordering above a certain critical concentration. Ferromagnetic ordering is possible for other types of lattice geometries and for an amorphous-like dipole distribution above a certain critical concentration. A simple physical explanation of such behavior is given based on the specific angular dependence of the dipole-dipole interaction that results in a relatively high value of the local field second moment for simple cubic lattice.

Key words

Oreintational orderingdipole-dipole interactionssoft dipole spheressimple cubic latticelocal fieldlong-range orderfluctuations

Copyright information

© Plenum Publishing Corporation 1997