The Barkhausen Effect

The Science of Hysteresis

Volumn 2-3, Issue , 2006, Pages 181-267

  Durin, Gianfranco ^a   Zapperi, Stefano ^b  

^a ISTITUTO ELETTROTECNICO NAZIONALE GALILEO FERRARIS   (Italy)

^b UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84884781786     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-012480874-4/50014-2     Document Type: Chapter

References (147)

1. Barkhausen H. Zwei mit Hilfe der neuen Verstärker entdeckte Erscheinugen. Physik Z. 1919, 20:401-403.
2. Weiss P. L'hypothése du champ moléculaire et la propriété ferromagnétique. J. de Phys. 1907, 6:661-690.
3. Elmore W. The magnetic structure of Cobalt. Phys. Rev. 1938, 53:757-764.
4. Williams H.J., Shockley W. A simple domain structure in an iron crystal showing a direct correlation with the magnetization. Phys. Rev. 1949, 75:178-183.
5. Kittel C. Physical theory of ferromagnetic domains. Rev. Mod. Phys. 1949, 21:541-583.
6. Mcclure J.C., Schöeder K. The magnetic Barkhausen effect. CRC Crit. Rev. Solid State Mater. Sci. 1976, 6:45-83.
7. Tebble R.S., Newhouse V.L. The Barkhausen effect in single crystals. P. Phys. Soc. Lond. B 1953, 66:633-641.
8. Rudyak V.M. The Barkhausen effect. Sov. Phys. USP 1971, 13:461-478.
9. Mazzetti P., Montalenti G. The theory of the power spectrum of the Barkhausen noise. Proceedings of the International Conference on Magnetism 1965, 701-706. The Institute of Physics and The Physical Society, London.
10. Grosse-Nobis W. Frequency spectrum of the Barkhausen noise of a moving 180° domain wall. J. Magn. Magn. Mat. 1977, 4:247-253.
11. Grosse-Nobis W., Lieneweg U. Spatial extent of the flux due to local irreversible changes of the magnetic polarization in ferromagentic strips and rods. J. Magn. Magn. Mat. 1978, 9:343-348.
12. Baldwin J.A., Pickles G.M. Autocorrelation function of Barkhausen noise in simple materials. J. Appl. Phys. 1972, 43:1263-1268.
13. Baldwin J.A., Pickles G.M. Tower spectrum of Barkhausen noise in simple materials. J. Appl. Phys. 1972, 43:4746-4749.
14. Wiegman N.J., Stege R. Barkhausen effect in magnetic thin films: general behaviour and stationarity along the hysteresis loop. Appl. Phys. 1978, 16:167-174.
15. Bertotti G., Fiorillo F. Barkhausen noise and domain structure dynamics in SiFe at different points of the magnetization curve. J. Magn. Magn. Mat. 1981, 23:136-148.
16. Alessandro B., Beatrice C., Bertotti G., Montorsi A. Domain wall dynamics and Barkhausen effect in metallic ferromagnetic materials. I. Theory. J. Appl. Phys. 1990, 68:2901-2907.
17. Alessandro B., Beatrice C., Bertotti G., Montorsi A. Domain wall dynamics and Barkhausen effect in metallic ferromagnetic materials. II. Experiments. J. Appl. Phys. 1990, 68:2908-2915.
18. Cote P.J., Meisel L.V. Self-organized criticality and the Barkhausen effect. Phys. Rev. Lett. 1991, 67:1334-1337.
19. Meisel L.V., Cote P.J. Power laws, flicker noise, and the Barkhausen effect. Phys. Rev. B 1992, 46:10822-10828.
20. Bak P., Tang C., Wiesenfeld K. Self-organized criticality: an explanation of the 1/f noise. Phys. Rev. Lett. 1987, 59:381-384.
21. Durin G., Zapperi S. Scaling exponents for Barkhausen avalanches in polycrystalline and amorphous ferromagnets. Phys. Rev. Lett. 2000, 84:4075-4078.
22. Alessandro B., Bertotti G., Montorsi A. Phenomenology of Barkhausen effect in soft ferromagnetic materials. J. de Phys. 1988, 49(C8):1907-1908.
23. Wiegman N.J. Barkhausen noise in magnetic thin films. Master's Thesis 1979, Available online at, Technische Universiteit, Eindhoven. http://WWW.alexandria.tue.nl/extra3/proefschrift/PRF3A/7909139.pdf.
24. Santi L., Sommer R., Magni A., Durin G., Colaiori F., Zapperi S. Dynamic hysteresis in Finemet thin films. IEEE Trans. Magn. 2003, 39:2666-2668.
25. Spasojevi D., Bukvi S., Milosevi S., Stanley H.E. Barkhausen noise: elementary signals, power laws, and scaling relations. Phys. Rev. E 1996, 54:2531-2546.
26. White R., Dahmen K.A. Driving rate effects on crackling noise. Phys. Rev. Lett. 2003, 91:085702.
27. Wiegman N.J. Barkhausen effect in magnetic thin films: experimental noise spectra. Appl. Phys. 1977, 12:157-161.
28. Hubert A., Schäfer R. Magnetic Domains 1998, Springer, New York.
29. Puppin E., Vavassori P., Callegaro L. A focused magneto-optical Kerr magnetometer for Barkhausen jump observations. Rev. Sci. Instr. 2000, 71:1752-1755.
30. Puppin E. Statistical properties of Barkhausen noise in thin Fe films. Phys. Rev. Lett. 2000, 84:5415-5418.
31. Puppin E., Ricci S. Statistical fluctuations during magnetization reversal in Fe films. IEEE Trans. Magn. 2000, 36:3090-3092.
32. Kim D.-H., Choe S.-B., Shin S.-C Direct observation of Barkhausen avalanche in Co thin films. Phys. Rev. Lett. 2003, 90:087203.
33. Kim D.-H., Choe S.-B., Shin S.-C. Time-resolved observation of Barkhausen avalanche in Co thin films using magneto-optical microscope magnetometer. J. Appl. Phys. 2003, 93:6564-6566.
34. Coyne P.J., Kramer J.J. The shape of individual Barkhausen pulses. AIP Proc. 1974, 24:726-728.
35. Porteseil J.L., Vergne R. Irreversible processes in Bloch wall motion. J. Appl. Phys. 1979, 50:2131-2133.
36. Vergne R., Cotillard J.C., Porteseil J.L. Quelques aspects statistiques des processus d'aimaintation dans les corps ferromagnétiques. Cas du déplacement d'une seule paroi de Bloch à 180° dan. Rev. Phys. Appl. 1981, 16:449-476.
37. Porteseil J.L., Cotillard J., Vergne R., Ferrari G. Etude expérimentale des mécanismes d'activation thermique dans le déplacement d'une paroi de Bloch à 180°. J. Phys. (Paris) 1981, 42:1253-1261.
38. Williams H.J., Shockley W., Kittel C. Studies of propagation velocity of a ferromagnetic domain boundary. Phys. Rev. 1950, 80:1090-1096.
39. Lieneweg U. Barkhausen noise of 3% Si-Fe strips after plastic deformation. IEEE Trans. Magn. 1974, 10:118-120.
40. Alessandro B., Bertotti G., Fiorillo F. Statistical properties of Barkhausen noise in soft magnetic materials. Phys. Scripta 1989, 39:256-258.
41. Geoffroy O., Porteseil J.L. Scaling properties of irreversible magnetization and their consequences on the macroscopic behaviour of soft materials. J. Magn. Magn. Mat. 1994, 133:1-5.
42. Bertotti G., Fiorillo F., Sassi M. Investigation on the magnetization reversal propagation in a (110)[001] 3% SiFe single crystal. J. Magn. Magn. Mat. 1982, 26:234-236.
43. Durin G., Magni A., Bertotti G. Fractal properties of the Barkhausen effect. J. Magn. Magn. Mat. 1995, 140-144:1835-1836.
44. Storm L., Heiden C., Grosse-Nobis W. The power spectrum of the Barkhausen noise of grain oriented three-percent silicon iron. IEEE Trans. Magn. 1966, 2:434-438.
45. Komatsubara M., Porteseil J.L. Influence of the magnetising frequency on the Barkhausen noise power of non-oriented Si-steel sheets. J. de Phys. 1985, 46(C6):175-178.
46. Komatsubara M., Porteseil J.L. Barkhausen noise behaviour in grain oriented 3% SiFe and the effect of local strain. IEEE Trans. Magn. 1986, MAG-22:496-498.
47. Rautioaho R., Karjalainen P., Moilanen M. Coercivity and power spectrum of Barkhausen noise in structural steels. J. Magn. Magn. Mat. 1986, 61:183-192.
48. Jansen K., Grosse-Nobis W., Klebrink H. Propagation properties of irreversible magnetizing processes in amorphous and crystalline material. J. Magn. Magn. Mat. 1982, 26:267-269.
49. Cizeau P., Zapperi S., Durin G., Stanley H.E. Dynamics of a ferromagnetic domain wall and the Barkhausen effect. Phys. Rev. Lett. 1997, 79:4669-4672.
50. Zapperi S., Cizeau P., Durin G., Stanley H.E. Dynamics of a ferromagnetic domain wall: avalanches, depinning transition and the Barkhausen effect. Phys. Rev. B 1998, 58:6353-6366.
51. Lieneweg U., Grosse-Nobis W. Distribution of size and duration of Barkhausen pulses and energy spectrum of Barkhausen noise investigated on 81% nickel-iron after heat treatment. Inter. J. Magnetism 1972, 3:11-16.
52. Lieneweg U. Increased Barkhausen noise of hard-drawn 50% nickel-iron at low temperatures. J. Magn. Magn. Mat. 1977, 4:242-246.
53. Urbach J.S., Madison R.C., Markert J.T. Reproducible noise in a macroscopic system: magnetic avalanches in Permivar. Phys. Rev. Lett. 1995, 75:4694-4697.
54. Urbach J.S., Madison R.C., Markert J.T. Interface depinning, self-organized criticality, and the Barkhausen effect. Phys. Rev. Lett. 1995, 75:276-279.
55. O'brien K., Weissman M.B. Statistical characterization of Barkhausen noise. Phys. Rev. E 1994, 50:3446-3452.
56. Petta J.R., Weissman M.B., O'brien K. Multiple magnetization paths in Barkhausen noise. Phys. Rev. E 1996, 54:R1029-R1031.
57. Grosse-Nobis W., Wagner W. Fluctuations of the driving field in a tape wound core of Metglas 2826. J. Magn. Magn. Mat. 1977, 6:77-79.
58. Yamada K., Saitoh T. Observation of the Barkhausen effect in ferromagnetic amorphous ribbons by sensitive pulsed magnetometer. J. Magn. Magn. Mat. 1992, 104-107:341-342.
59. Durin G., Magni A., Bertotti G. Measurements of the Barkhausen effect in FeCoB alloys. J. Magn. Magn. Mat. 1996, 160:299-301.
60. Zheng G.-P., Li M., Zhang J. Dynamics of Barkhausen jumps in disordered ferromagnets. J. Appl. Phys. 2002, 92:883-888.
61. 15. J. Appl. Phys. 2003, 94:5901-5904.
62. Bertotti G., Durin G., Magni A. Scaling aspects of domain wall dynamics and Barkhausen effect in ferromagnetic materials. J. Appl. Phys. 1994, 75:5490-5492.
63. Durin G., Magni A., Bertotti G. Fractals, scaling and the question of self-organized criticality in magnetization processes. Fractals 1995, 3:351-370.
64. Mcmichael R.D., Swartzendruber L.J., Bennet L.H. Langevin approach to hysteresis and Barkhausen noise jump modelling in steel. J. Appl. Phys. 1993, 73:5848-5850.
65. Durin G., Zapperi S. On the power spectrum of magnetization noise. J. Magn. Magn. Mat. 2002, 242-245:1085-1088.
66. Mehta A., Mills A., Dahmen K., Sethna J. Universal pulse shape scaling function and exponents: a critical test for avalanche models applied to Barkhausen noise. Phys. Rev. E 2002, 65:046139.
67. Basso V., Bertotti G., Duhaj P., et al. Microstructural and magnetic investigation of partially crystallized amorphous ribbons. J. Magn. Magn. Mat. 1996, 157-158:217-219.
68. Durin G., Zapperi S. Barkhausen noise in soft magnetic materials under applied stress. J. Appl. Phys. 1999, 85:5196-5198.
69. Perkovic O., Dahmen K., Sethna J.P. Avalanches, Barkhausen noise, and plain old criticality. Phys. Rev. Lett. 1995, 75:4528-4531.
70. Porteseil J.L., Vergne R. Homothétie interne dans le désplacements d'une paroi de Bloch. C.R. Acad. Sc. Paris. B 1979, 288:343-345.
71. Bertotti G., Montorsi A. Dependence of Barkhausen noise on grain size in ferromagnetic materials. J. Magn. Magn. Mat. 1990, 86:214-216.
72. Durin G. The Barkhausen effect: new perspectives for an old problem. Noise in Physical Systems and 1/f Fluctuations 1997, 577-582. World Scientific, Singapore. C. Claeys, E. Simoen (Eds.).
73. Petta J.R., Weissman M.B., Durin G. Barkhausen pulse structure in an amorphous ferromagnet: characterization by high order spectra. Phys. Rev. E 1998, 57:6363-6369.
74. Kuntz M.C., Sethna J.P. Noise in disordered systems: the power spectrum and dynamic exponents in avalanche models. Phys. Rev. B 2000, 62:11699-11708.
75. Dahmen K., Sethna J.P. Hysteresis, avalanches, and induced critical scaling: a renormalization-group approach. Phys. Rev. B 1996, 53:14872-14905.
76. Sethna J., Dahmen K.A., Myers C.R. Crackling noise. Nature 2001, 410:242-244.
77. Petta J.R., Weissman M.B., Durin G. Determination of Barkhausen signal scaling from high order spectral analysis. IEEE Trans. Magn. 1998, 34:1171-1173.
78. Néel L. Energie des parois de Bloch dans le couches minces. C. R. Acad. Sci. Paris 1955, 241:533-536.
79. Néel L. Bases d'une nouvelle theorie generale du champ coercitif. Ann. Univ. Grenoble 1946, 22:299-343.
80. Hirth J., Lothe J. Theory of Dislocations 1992, Krieger Publishing Company, Melbourne.
81. Groma I., Bakó B. Probability distribution of internal stresses in parallel straight dislocation systems. Phys. Rev. B 1998, 58:2969-2974.
82. Székely F., Groma I., Lendvai J. Characterization of self-similar dislocation patterns by X-ray diffraction. Phys. Rev. B 2000, 62:3093-3098.
83. Gonzalez J., Chubykalo O., Gonzalez J. Quantitative analysis of the collective behavior in a micromagnetic model. Phys. Rev. B 1997, 55:921-930.
84. Chubykalo O.A., Gonzalez J., Gonzalez J.M. Avalanches as propagating domain walls in a micromagnetic model. Physica D 1998, 113:382-386.
85. Chubykalo O.A., Gonzalez J.M., Gonzalez J. Barkhausen jump distributions in a micromagnetic model. J. Magn. Magn. Mat. 1998, 184:L257-L261.
86. Néel L. Théorie des lois d'aimantation de Lord Rayleigh. I: le déplacements d'un paroi isolée'. Cah. Phys. 1942, 12:1-20.
87. Néel L. Théorie des lois d'aimantation de Lord Rayleigh. II: multiples domaines et champ coercitif. Cah. Phys. 1943, 13:18-30.
88. Bertotti G. Statistical interpretation of magnetization processes and eddy current losses in ferromagnetic materials. Proceedings of the 3rd International Conference on Physics of Magnetic Materials 1986, 489-508. Word Scientific, Singapore. W. Gorzkowski, H. Lachowicz, H. Szymczak (Eds.).
89. Bertotti G. Dynamics of magnetic domain walls and Barkhausen noise in metallic ferromagnetic systems. Magnetic Excitations and Fluctuations II 1987, 135-139. Springer, Berlin. U. Balucani, S. W. Lovesey, M. G. Rasetti, V. Tognetti (Eds.).
90. Bray A.J. Random walks in logarithmic and power-law potentials, nonuniversal persistence, and vortex dynamics in the two-dimensional XY model. Phys. Rev. E 2000, 62:103-112.
91. Sethna J.P., Dahmen K., Kartha S., Krumhansl J.A.J., Roberts B.W., Shore D. Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations. Phys. Rev. Lett. 1993, 70:3347-3350.
92. Perkovic O., Dahmen K.A., Sethna J.P. Disorder-induced critical phenomena in hysteresis: numerical scaling in three and higher dimensions. Phys. Rev. B 1999, 59:6106-6119.
93. Berger A., Inomata A., Jiang J.S., Pearson J.E., Bader S.D. Experimental observation of disorder-driven hysteresis-loop criticality. Phys. Rev. Lett. 2000, 85:4176-4179.
94. Bertotti G., Pasquale M. Hysteresis phenomena and Barkhausen-like instabilities in the Sherrington-Kirkpatrick spin glass model. J. Appl. Phys. 1990, 67:5255-5257.
95. Vives E., Planes A. Avalanches in a fluctuationless phase transition in a random-bond Ising model. Phys. Rev. B 1994, 50:3839-3848.
96. Vives E., Planes A. Hysteresis and avalanches in disordered systems. J. Mag. Magn. Mat. 2000, 221:164-171.
97. Vives E., Planes A. Hysteresis and avalanches in the random anisotropy Ising model. Phys. Rev. B 2001, 63:134431.
98. Da Silveira R.A., Zapperi S. Critical hysteresis from random anisotropy. Phys. Rev. B 2003, 69:212404.
99. Magni A., Beatrice C., Durin G., Bertotti G. Stochastic model for magnetic hysteresis. J. Appl. Phys. 1999, 86:3253-3261.
100. Magni A., Vertesy G. Dipolar-random-field Ising model: an application to garnet films. Phys. Rev. B 2000, 61:3203-3206.
101. Durin G., Zapperi S. Complex dynamics of magnetic domain walls. Phys. A 2002, 314:230-234.
102. Carpenter J.H., Dahmen K.A. Barkhausen noise and critical scaling in the demagnetization curve. Phys. Rev. B 2003, 67. 020412(R).
103. Narayan O. Self-similar Barkhausen noise in magnetic domain wall motion. Phys. Rev. Lett. 1996, 77:3855-3858.
104. Bahiana M., Koiller B., De Queiroz S.L.A., Denardin J.C., Sommer R.L. Domain size effect in Barkhausen noise. Phys. Rev. E 1999, 59:3884-3887.
105. De Queiroz S.L.A., Bahiana M. Finite driving rates in interface models of Barkhausen noise. Phys. Rev. E 2001, 64:066127.
106. Narayan O., Fisher D.S. Threshold critical dynamics of driven interfaces in random media. Phys. Rev. B 1993, 48:7030-7042.
107. Lemerle S., Ferré J., Chappert C., Mathet V., Giamarchi T., Doussal P.Le. Domain wall creep in ultrathin films. Phys. Rev. Lett. 1998, 80:849-852.
108. Hilzinger H.-R. Computer simulation of magnetic domain wall pinning. Phys. Status Solidi A 1976, 38:487-496.
109. Hilzinger H.R. Scaling relations in magnetic, mechanical and superconducting pinning theory. Philos. Mag. 1977, 36:225-234.
110. Enomoto Y. Bloch wall motion in random impurities. J. Magn. Magn. Mat. 1994, 129:L146-L150.
111. Enomoto Y. Magnetic domain wall depinning in a disordered medium. J. Magn. Magn. Mat. 1994, 138:L1-L5.
112. Elmer F.J. A model for Barkhausen noise. J. Magn. Magn. Mat. 1995, 140-144:1839-1840.
113. Enomoto Y. Crossover behavior of magnetization noise properties in disordered ferromagnets. J. Magn. Magn. Mat. 1997, 174:155-159.
114. Nattermann T., Stepanow S., Tang L.H., Leschhorn H. Dynamics of interface depinning in a disordered medium. J. Phys. II (France) 1992, 2:1483-1488.
115. Leschhorn H., Nattermann T., Stepanow S., Tang L.H. Driven interface depinning in a disordered medium. Ann. Physik 1997, 6:1-34.
116. Chauve P., Le Doussal P., Wiese K.J. Renormalization of pinned elastic systems: how does it work beyond one loop. Phys. Rev. Lett. 2001, 86:1785-1788.
117. Ertas D., Kardar M. Critical dynamics of contact line depinning. Phys. Rev. E 1994, 49:R2532-R2535.
118. Dickman R., Munoz M.A., Vespignani A., Zapperi S. Paths to self-organized criticality. Braz. J. Phys. 2000, 30:27-39.
119. Fisher D.S. Sliding charge-density waves as a dynamic critical phenomenon. Phys. Rev. B 1985, 31:1396-1427.
120. Durin G., Zapperi S. Universality and size effect in the Barkhausen noise. J. Appl. Phys. 2000, 87:7031-7033.
121. Mazzetti P. Study of non-independent random pulse trains with application to the Barkhausen noise. II Nuovo Cimento 1962, 25:1322-1342.
122. Arqués P. Sur certains problémes statistiques liés a l'effet de Barkhausen. J. de Phys. 1968, 29:369-384.
123. Baldassarri A., Colaiori F., Castellano C. Average shape of a fluctuation: universality in excursions of stochastic processes. Phys. Rev. Lett. 2003, 90:060601.
124. Colaiori F., Baldassarri A., Castellano C. Average trajectory of returning walks. Phys. Rev. E 2003, 69:041105.
125. Colaiori F., Durin G., Zapperi S. Shape of a Barkhausen pulse. J. Magn. Magn. Mat. 2004, 272-276:E533-E534.
126. Tebble R.S., Skidmore I.C., Corner W.D. The Barkhausen effect. Proc. Phys. Soc. A 1950, 63:739-751.
127. Zentkova A., Datko M. Propagation of the electrodynamic disturbance following a Barkhausen jump in metallic ferromagnetic samples. Czech. J. Phys. B 1974, 24:310-321.
128. Zapperi S., Castellano C., Colaiori F., Durin G. Signature of effective mass in crackling noise asymmetry. Nature Phys. 2005, 1:46-49.
129. Tadic B., Nowak U. Barkhausen avalanches in anisotropic ferromagnets with 180° domain walls. Phys. Rev. E 2000, 61:4610-4613.
130. Zheng G., Li M. Universality of dynamic scaling for avalanches in disordered Ising systems. Phys. Rev. E 2002, 66:036108.
131. Vives E., Goicoechea J., Ortin J., Planes A. Universality in models for disordered induced phase transitions. Phys. Rev. E 1995, 52:R5-R8.
132. Tadic B. Nonuniversal scaling behavior of Barkhausen noise. Phys. Rev. Lett. 1996, 77:3843-3846.
133. Imry J., Ma S.K. Random-field instability of the ordered state of continuous symmetry. Phys. Rev. Lett. 1975, 35:1399-1401.
134. Nattermann T. Interface phenomenology, dipolar interaction, and the dimensionality dependence of the incommensurate-commensurate transition. J. Phys. C 1983, 16:4125-4135.
135. Chui S. Fluctuations and elastic properties of domain walls in two-dimensional dipolar systems. Phys. Rev. B 1995, 51:250-257.
136. Tanguy A., Gounelle M., Roux S. From individual to collective pinning: effect of long-range elastic interactions. Phys. Rev. E 1998, 58:1577-1590.
137. Zapperi S., Zaiser M. Depinning of a dislocation: effect of long range interactions. Mat. Sci. Eng. A 2001, 309-310:348-351.
138. Paczuski M., Maslov S., Bak P. Avalanche dynamics in evolution, growth, and depinning models. Phys. Rev. E 1996, 53:414-443.
139. Chen L.W., Marchetti M.C. Interface motion in random media at finite temperature. Phys. Rev. B 1995, 51:6296-6308.
140. Alava M.J. Scaling in self-organized criticality from interface depinning?. J. Phys. Cond. Mat. 2002, 14:2353-2360.
141. Ji H., Robbins M. Transition from compact to self-similar growth in disordered systems: fluid invasion and magnetic-domain growth. Phys. Rev. A 1991, 44:2538-2542.
142. Schwarz A., Liebmann M., Kaiser U., Wiesendanger R., Noh T.W., Kim D.W. Visualization of the Barkhausen effect by magnetic force microscopy. Phys. Rev. Lett. 2004, 92:077206.
143. Damento M., Demer L. Investigation of local events of magnetization reversal in a Nd-Fe-B magnet by use of a Hall-effect microprobe. IEEE Trans. Magn. 1997, 23:1877-1880.
144. Novoselov K.S., Geim A.K., Dubonos S.V., Hill E.W., Grigoreva I.V. Subatomic movements of a domain wall in the Peierls potential. Nature 2003, 426:812-816.
145. Cuntze G., Brendel H., Hubert A. Barkhausen noise from sintered permanent magnets. IEEE Trans. Magn. 1996, 32:4359-4361.
146. Thompson P.J., Street R. Magnetic viscosity and Barkhausen noise in NdFeB-type permanent magnets. J. Magn. Magn. Mat. 1997, 171:153-162.
147. Basso V., Beatrice C., Bertotti G., Durin G., Bue M.L., Sasso C. Barkhausen noise in nucleation-type hard magnetic materials. J. Magn. Magn. Mat. 2004, 272-276:E539-E541.