Stochastic model of hysteresis

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 4, 2000, Pages 3490-3500

  Pal L ^a  

^a KFKI ATOMIC ENERGY RESEARCH INSTITUTE   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

DISTRIBUTION FUNCTIONS; HYSTERESIS; MAGNETIC FIELDS; MAGNETIC MATERIALS; PROBABILITY DISTRIBUTIONS; RANDOM VARIABLES; STOCHASTIC CONTROL SYSTEMS; STOCHASTIC SYSTEMS;

ACCOMMODATION PROCESS; CONTROL PARAMETERS; EXPECTATION VALUES; JOINT DISTRIBUTION FUNCTIONS; MAGNETIZATION DIRECTION; PROBABILITY THEORY; RETURN-POINT MEMORY; STOCHASTIC EVOLUTION;

STOCHASTIC MODELS;

EID: 5244319831     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.3490     Document Type: Article

References (16)

1. I. D. Mayergoyz, Mathematical Models of Hysteresis (Springer-Verlag, Berlin, 1991).
2. A. Visintin, Differential Models of Hysteresis (Springer-Verlag, Berlin, 1994).
3. A. Iványi, Hysteresis Models in Electromagnetic Computation (Akadémiai Kiadó, Budapest, 1997).
4. G. Bertotti, Hysteresis in Magnetism (Academic, San Diego, 1998).
5. G. Kádár, J. Appl. Phys. 61, 4013 (1987).
6. G. Kádár, Phys. Scr. T25, 161 (1989).
7. F. Preisach, Z. Phys. 94, 277 (1935).
8. M.A. Krasnoselskii and A.V. Pokrovskii, Sov. Math. Dokl. 12, 1388 (1971).
9. L. Pál, Foundation of the Probability Calculus and Statistics (Akadémiai Kiadó, Budapest, 1995) (in Hungarian), Vol. 1, p. 122.
10. W.S. Melville, J. Inst. Electron Eng. 97, 165 (1950).
11. R.O. Carter and D.L. Richards, J. Am. Ceram. Soc. 97, 199 (1950).
12. E. Della Torre and G. Kádár, IEEE Trans. Magn. 23, 2823 (1987).
13. G. Biorci and D. Pescetti, Nuovo Cimento 7, 829 (1958).
14. R. Becker and W. Döring, Ferromagnetismus (Springer, Berlin, 1939) (in German), p. 222.
15. G. Kádár and E. Della Torre, IEEE Trans. Magn. 23, 2820 (1987).
16. After the first submission of this manuscript a very interesting paper was published: [G. Bertotti, I.D. Mayergoyz, V. Basso, and A. Magni, Phys. Rev. E 60, 1428 (1999)] about the functional integration approach to hysteresis over an abstract probability space of Kolmogorov. This approach is different from that which is described in present paper and has certainly a much wider field of possible applications.