- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review E

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Nonlinear response of permanent dipoles in a uniaxial potential to alternating fields

W. T. Coffey1, D. S. F. Crothers2, Yu. P. Kalmykov3, and P. M. Déjardin3

  • 1Department of Electronic and Electrical Engineering, Trinity College, Dublin 2, Ireland
  • 2Department of Applied Mathematics and Theoretical Physics, The Queens University of Belfast, Belfast BT7 1NN, Northern Ireland
  • 3MEPS, Université de Perpignan, 52 Avenue Paul Alduy, 66860 Perpignan Cedex, France

PDF

Phys. Rev. E 71, 062102 – Published 23 June, 2005

DOI: https://doi.org/10.1103/PhysRevE.71.062102

Abstract

It is shown how the existing theory of the dynamic Kerr effect and nonlinear dielectric relaxation based on the noninertial Brownian rotation of noninteracting rigid dipolar particles may be generalized to take into account interparticle interactions using the Maier-Saupe mean field potential. The results (available in simple closed form) suggest that the frequency dependent nonlinear response provides a method of measuring the Kramers escape rate (or in the analogous problem of magnetic relaxation of fine single domain ferromagnetic particles, the superparamagnetic relaxation time).

View figure in article

Article Text

References (23)

  1. P. Debye, Polar Molecules (Chem. Catalog Co., New York, 1929).
  2. Yu. L. Raikher and V. I. Stepanov, Adv. Chem. Phys. 129, 419 (2004).
  3. W. T. Coffey and B. V. Paranjape, Proc. R. Ir. Acad., Sect. A 78, 17 (1978).
  4. A. Morita and S. Watanabe, Adv. Chem. Phys. 56, 255 (1984).
  5. J. L. Déjardin et al., Adv. Chem. Phys. 117, 275 (2001).
  6. W. T. Coffey et al., The Langevin Equation, 2nd ed. (World Scientific, Singapore, 2004).
  7. K. De Smet et al., Phys. Rev. E 57, 1384 (1998).
  8. H. Benoit, Ann. Phys. (Paris) 6, 561 (1951).
  9. T. Furukawa and K. Matsumoto, Jpn. J. Appl. Phys., Part 1 31, 840 (1992).
  10. A. J. Martin et al., Symp. Faraday Soc. 5, 119 (1971).
  11. P. L. Nordio and P. Busolin. J. Chem. Phys. 55, 5485 (1971).
  12. B. A. Storonkin, Kristallografiya 30, 841 (1985) [Sov. Phys. Crystallogr.. 30, 489 (1985)].
  13. W. T. Coffey et al., Physica A 213, 551 (1995).
  14. R. Kubo et al., Statistical Physics II: Non-Equilibrium Statistical Mechanics, 2nd ed. (Springer-Verlag, Berlin, 1991).
  15. Y. L. Raikher et al., J. Colloid Interface Sci. 144, 308 (1991).
  16. B. U. Felderhof and R. B. Jones, J. Chem. Phys. 115, 7852 (2001); R. B. Jones, J. Phys.: Condens. Matter 14, 7719 (2002).
  17. Y. L. Raikher and V. I. Stepanov, Phys. Rev. B 66, 214406 (2002).
  18. W. F. Brown, Jr., Phys. Rev. 130, 677 (1963).
  19. A. Morita, Phys. Rev. A 34, 1499 (1986).
  20. A. Szabo, J. Chem. Phys. 72, 4620 (1980).
  21. W. T. Coffey. Adv. Chem. Phys. 63, 69 (1985).
  22. K. Hosokawa et al., J. Chem. Phys. 110, 4101 (1999).
  23. M. Schadt, J. Chem. Phys. 67, 210 (1977).

Outline

Information

Phys. Rev. E 71, 062102– Published 23 June, 2005
  • Received 10 January 2005

© 2005 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation