The randomly driven ising ferromagnet: I. General formalism and mean-field theory

Journal of Physics A: Mathematical and General

Volumn 32, Issue 1, 1999, Pages 61-74

  Hausmann, Johannes ^a   Ruján, Pál ^a  

^a UNIVERSITY OF OLDENBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033534251     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/1/008     Document Type: Article

References (37)

1. Simányi N and Szász D 1996 The Boltzmann-Sinai hypothesis for hard ball systems Preprint mp-arcmath.utexas.edu-#96-80
2. Gallavotti G and Cohen E G D 1995 Dynamical ensembles in nonequilibrium statistical mechanics Phys. Rev. Lett. 74 2694
3. Gallavotti G and Cohen E G D 1995 Dynamical ensembles in stationary states J. Stat. Phys. 80 931
4. Bruinsma R and Aeppli G 1983 One-dimensional Ising model in a random field Phys. Rev. Lett. 50 1494
5. Aeppli G and Bruinsma R 1983 Linear response theory and the one-dimensional Ising ferromagnet in a random field Phys. Lett. A 97 117
6. Györgyi G and Ruján P 1984 Strange attractors in disordered systems J. Phys. C: Solid State Phys. 17 4207
7. Evangelou SN 1987 Fractal measures in the random-field Ising model J. Phys. C: Solid State Phys. 20 L511
8. Szépfalusy P and Behn U 1987 Calculation of a characteristic fractal dimension in the one-dimensional random Ising model Z. Phys. B 65 337
9. Bene J and Szépfalusy P 1988 Multifractal properties in the one-dimensional random-field Ising model Phys. Rev. A 37 1703
10. Behn U and Zagrebnov V A 1987 One-dimensional Markovian-field Ising model: Physical properties and characteristics of the discrete stochastic mapping J. Phys. A: Math. Gen. 21 2151
11. Behn U and Zagrebnov V A 1987 One-dimensional random field Ising model and discrete stochastic mappings J. Stat. Phys. 47 939
12. Bene J 1989 Multifractal properties of a class of non-natural measures as an eigenvalue problem Phys. Rev. A 39 2090
13. Rao M, Krishnamurthy H R and Pandit R 1990 Magnetic hysteresis in two spin systems Phys. Rev. B 42 856
14. Tomé T and de Oliveira M J 1990 Dynamic phase transition in the kinetic Ising model under a time-dependent oscillating field Phys. Rev. A 41 4251
15. Lo W S and Pelcovits R A 1990 Ising model in a time-dependent magnetic field Phys. Rev. A 42 7471
16. Sengupta S, Marathe Y and Puri S 1992 Cell-dynamic simulation of magnetic hysteresis in two-dimensional Ising system Phys. Rev. B 45 7828
17. Rikvold P A, Tomita H, Miyashita S and Sides S W 1994 Metastable lifetimes in a kinetic Ising model: dependence on field and system size Phys. Rev. E 49 5080
18. Sides S W, Ramos R A, Rikvold P A and Novotny M A 1996 Response of kinetic Ising model system to oscillating external fields: Amplitude and frequency dependence J. Appl. Phys. 79 6482
19. Ruján P and Hausmann J 1997 Stationary properties of a randomly driven Ising ferromagnet Phys. Rev. Lett. 79 3339
20. Bayreuther G, Bruno P, Lugert G and Turtur C 1989 Magnetic aftereffect in ultrathin ferromagnetic films Phys. Rev. B 40 7399
21. Pommier J, Meyer P, Pénissard G, Ferré J, Bruno P and Renard D 1990 Magnetization reversal in ultrathin ferromagnetic films with perpendicular anisotropy: domain observations Phys. Rev. Lett. 65 2054
22. Allensbach R, Stampanoni M and Bischof A 1990 Magnetic domains in thin epitaxial Co/Au(111) films Phys. Rev. Lett. 65 3344
23. He Y-L and Wang G-C 1993 Observation of dynamic scaling of magnetic hysteresis in ultrathin ferromagnetic Fe/Au(001) films Phys. Rev. Lett. 70 2336
24. Felderhof B U 1970 Rep. Math. Phys. 1 1
25. Siggia E D 1977 Pseudospin formulation of kinetic Ising models Phys. Rev. B 16 2319
26. Barnsley M F and Demko S 1985 Iterated function systems and the global construction of fractals Proc. R. Soc. A 399 243
27. Chang S-J and Wright J 1981 Transitions and distribution functions for chaotic systems Phys. Rev. A 23 1419
28. Glauber R J 1963 Time-dependent statistics of the Ising model J. Math. Phys. 4 294
29. Pomeau Y and Manneville P 1980 Intermittent transition to turbulence in dissipative dynamic systems Commun. Math. Phys. 74 189
30. Acharyya M 1998 Nonequilibrium phase transition in the kinetic Ising model: Dynamical symmetry breaking by randomly varying magnetic field Phys. Rev. E 58 174
31. Radons G 1993 A new transition for projections of multifractal measures and random maps J. Stat. Phys. 72 227
32. Henschel H G E and Procaccia I 1983 Physica D 8 435
33. Tsang K Y 1986 Dimensionality of strange attractors determined analytically Phys. Rev. Lett. 57 1390
34. Tang C and Kohmoto M 1986 Global scaling properties of the spectrum for a quasiperiodic Schrödinger equation Phys. Rev. B 34 2041
35. Grossmann S and Horner H 1985 Long time tail correlations in discrete chaotic dynamics Z. Phys. B 60 79
36. Györgyi G and Szépfalusy P 1988 Relaxation processes in chaotic states of one-dimensional maps Acta Phys. Hung. 64 33
37. Hausmann J and Ruján P 1999 The randomly driven Ising ferromagnet: II. One and two dimensions J. Phys. A: Math. Gen. 32 75