Interpolation formula between very low and intermediate-to-high damping Kramers escape rates for single-domain ferromagnetic particles

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 63, Issue 2 I, 2001, Pages 0211021-02110212

  Dejardin P M ^a   Crothers, D S F ^a   Coffey, W T ^b   McCarthy, D J ^c  

^a QUEEN'S UNIVERSITY BELFAST   (United Kingdom)

^b TRINITY COLLEGE DUBLIN   (Ireland)

^c DUBLIN INSTITUTE OF TECHNOLOGY   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOVEMENT; DAMPING; EIGENVALUES AND EIGENFUNCTIONS; INTERPOLATION; MAGNETIC ANISOTROPY; MAGNETIC DOMAINS; MAGNETIC MOMENTS; SUPERPARAMAGNETISM;

KRAMERS ESCAPE RATES; MAGNETOCRYSTALLINE ANISOTROPY;

FERROMAGNETIC MATERIALS;

EID: 15844394243     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.021102     Document Type: Article

References (27)

1. H. A. Kramers, Physica (Utrecht) 7, 284 (1940).
2. W. Wernsdorfer, E. Bonet Orozco, K. Hasselbach, A. Benoit, B. Barbara, N. Demoncy, A. Loiseau, H. Pascard, and D. Mailly, Phys. Rev. Lett. 78, 1791 (1997).
3. L. Néel, Ann. Geophys. (C.N.R.S.) 5, 99 (1949).
4. W. F. Brown, Phys. Rev. 130, 1677 (1963).
5. W. T. Coffey, D. S. F. Crothers, J. L. Dormann, Yu. P. Kalmykov, E. C. Kennedy, and W. Wernsdorfer, Phys. Rev. Lett. 80, 5655 (1998).
6. N. G. van Kämpen, Stochastic Processes in Physics and Chemistry, 2nd ed. (North-Holland, Amsterdam, 1992).
7. V. I. Mel'nikov and S. V. Meshkov, J. Chem. Phys. 85, 1018 (1986).
8. W. F. Brown, IEEE Trans. Magn. 15, 1197 (1979).
9. I. Klik and L. Günther, J. Stat. Phys. 60, 473 (1990).
10. J. S. Langer, Ann. Phys. (N.Y.) 54, 258 (1969).
11. U. Nowak, R. W. Chantrell, and E. C. Kennedy, Phys. Rev. Lett. 84, 163 (1999).
12. W. T. Coffey, Yu. P. Kalmykov, and J. T. Waldron, The Langcvin Equation (World Scientific, Singapore, 1996).
13. W. T. Coffey, Adv. Chem. Phys. 103, 259 (1998).
14. W. T. Coffey, J. Mol. Struct. 479, 261 (1999).
15. L. J. Geoghegan, W. T. Coffey, and B. Mulligan, Adv. Chem. Phys. 100, 475 (1997).
16. W. T. Coffey, Yu. P. Kalmykov, and J. T. Waldron, Ref. [12].
17. W. T. Coffey, D. A. Garanin, and D. J. McCarthy, Adv. Chem. Phys. (to be published).
18. Handbook of Mathematical Functions, edited by M. Abramowitz and I. Stegun (Dover, New York, 1964).
19. A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, NJ, 1957).
20. Yu. P. Kalmykov, Phys. Rev. E 62, 227 (2000).
21. Yu. P. Kalmykov and S. V. Titov, Phys. Rev. Lett. 82, 2967 (1999).
22. E. C. Stoner and E. P. Wolfarth, Philos. Trans. R. Soc. Lon-ilon, Ser. A 240, 599 (1948).
23. I). A. Garanin, E. C. Kennedy, D. S. F. Crothers, and W. T. Colley, Phys. Rev. E 60, 6499 (1999).
24. [241 1. S. Grudshteyn and I. M. Ryzhik, Table of Intégrais, Series ami Products (Academic, New York, 1980).
25. II. Goldstein, Classical Mechanics, 2nd ed. (Addison Wesley, Reading, MA, 1980).
26. W. T. Coffey, D. S. F. Crothers, J. L. Dormann, L. J. Geoghegan, E. C. Kennedy, and W. Wernsdorfer, J. Phys.: Condens. Matter 10, 9093 (1998).
27. W. T. Coffey, D. A. Garanin, H. Kachkachi, and D. J. McCarthy, J. Magn. Magn. Mater, (to be published).