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Interplay of disorder and type of driving in disordered ferromagnetic systems

Djordje Spasojević and Stefan Graovac

Sanja Janićević

  • Faculty of Physics, University of Belgrade, P.O. Box 44, 11001 Belgrade, Serbia

  • Faculty of Science, University of Kragujevac, P.O. Box 60, 34000 Kragujevac, Serbia

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Phys. Rev. E 106, 044107 – Published 10 October, 2022

DOI: https://doi.org/10.1103/PhysRevE.106.044107

Abstract

We investigate the effects of adiabatic, quasistatic, and finite-rate types of driving on the evolution of disordered three-dimensional ferromagnetic systems, studied within the frame of the nonequilibrium athermal random field Ising model. The effects were examined in all three domains of disorder (low, high, and transitional) for all types of driving, and in a wide range of driving rates for quasistatic and finite-rate driving, providing an extensive overview and comparison of the joint effects that the disorder, type of driving, and rate regime have on the system's behavior.

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References (49)

  1. D. S. Fisher, Collective transport in random media: from superconductors to earthquakes, Phys. Rep. 301, 113 (1998).
  2. J. Davidsen and M. Baiesi, Self-similar aftershock rates, Phys. Rev. E 94, 022314 (2016).
  3. O. A. Pinto and M. A. Muñoz, Quasi-neutral theory of epidemic outbreaks, PLoS ONE 6, e21946 (2011).
  4. J. P. Bouchaud, Crises and collective socio-economic phenomena: Simple models and challenges, J. Stat. Phys. 151, 567 (2013).
  5. A. Bizzarri, A. Petri, and A. Baldassarri, Earthquake dynamics constrained from laboratory experiments: new insights from granular materials, Ann. Geophys. 64, 441 (2021).
  6. P. D. Ispánovity et al., Dislocation avalanches are like earthquakes on the micron scale, Nat. Commun. 13, 1975 (2022).
  7. D. P. Belanger and T. Nattermann, in Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1998), pp. 251–298.
  8. J. P. Sethna, K. A. Dahmen, and O. Perković, Random-field Ising models of hysteresis, in The Science of Hysteresis, edited by G. Bertotti and I. Mayergoyz (Academic, Amsterdam, 2006), Vol. 2, pp. 107–179.
  9. D. Spasojević, S. Bukvić, S. Milošević, and H. E. Stanley, Barkhausen noise: Elementary signals, power laws, and scaling relations, Phys. Rev. E 54, 2531 (1996).
  10. A. Skaugen and L. Laurson, Depinning Exponents of Thin Film Domain Walls Depend on Disorder Strength, Phys. Rev. Lett. 128, 097202 (2022).
  11. N. Friedman, S. Ito, B. A. W. Brinkman, M. Shimono, R. E. L. DeVille, K. A. Dahmen, J. M. Beggs, and T. C. Butler, Universal Critical Dynamics in High Resolution Neuronal Avalanche Data, Phys. Rev. Lett. 108, 208102 (2012).
  12. S. R. Miller, S. Yu, and D. Plenz, The scale-invariant, temporal profile of neuronal avalanches in relation to cortical γ-oscillations, Sci. Rep. 9, 16403 (2019); see also Criticality in Neural Systems, edited by D. Plenz and E. Niebur (Wiley Online Library, 2014).
  13. J. T. Uhl et al., Universal quake statistics: From compressed nanocrystals to earthquakes, Sci. Rep. 5, 16493 (2015).
  14. D. Spasojević, S. Radić, D. Jovković, and S. Janićević, Spin activity correlations in driven disordered systems, J. Stat. Mech. (2022) 063302.
  15. J. P. Sethna, K. A. Dahmen, S. Kartha, J. A. Krumhansl, B. W. Roberts, and J. D. Shore, Hysteresis and Hierarchies: Dynamics of Disorder-Driven First-Order Phase Transformations, Phys. Rev. Lett. 70, 3347 (1993).
  16. O. Perković, K. A. Dahmen, and J. P. Sethna, Disorder-induced critical phenomena in hysteresis: Numerical scaling in three and higher dimensions, Phys. Rev. B 59, 6106 (1999).
  17. S. Janićević, D. Knežević, S. Mijatović, and D. Spasojević, Scaling domains in the nonequilibrium athermal random field Ising model of finite systems, J. Stat. Mech. (2021) 013202.
  18. S. Graovac, S. Mijatović, and D. Spasojević, Mechanism of subcritical avalanche propagation in three-dimensional disordered systems, Phys. Rev. E 103, 062123 (2021).
  19. D. Spasojević, S. Janićević, and M. Knežević, Numerical Evidence for Critical Behavior of the Two-Dimensional Nonequilibrium Zero-Temperature Random Field Ising Model, Phys. Rev. Lett. 106, 175701 (2011).
  20. D. Spasojević, S. Janićević, and M. Knežević, Avalanche distributions in the two-dimensional nonequilibrium zero-temperature random field Ising model, Phys. Rev. E 84, 051119 (2011).
  21. D. Spasojević, S. Mijatović, V. Navas-Portela, and E. Vives, Crossover from three-dimensional to two-dimensional systems in the nonequilibrium zero-temperature random-field Ising model, Phys. Rev. E 97, 012109 (2018).
  22. S. Janićević, S. Mijatović, and D. Spasojević, Critical behavior of the two-dimensional nonequilibrium zero-temperature random field Ising model on a triangular lattice, Phys. Rev. E 95, 042131 (2017).
  23. S. Mijatović, D. Jovković, and D. Spasojević, Nonequilibrium athermal random-field Ising model on hexagonal lattices, Phys. Rev. E 103, 032147 (2021).
  24. B. Tadić, S. Mijatović, S. Janićević, D. Spasojević, and G. J. Rodgers, The critical Barkhausen avalanches in thin random-field ferromagnets with an open boundary, Sci. Rep. 9, 6340 (2019).
  25. S. Mijatović, D. Jovković, S. Janićević, and D. Spasojević, Critical disorder and critical magnetic field of the nonequilibrium athermal random-field Ising model in thin systems, Phys. Rev. E 100, 032113 (2019).
  26. S. Mijatović, M. Branković, S. Graovac, and D. Spasojević, Avalanche properties in striplike ferromagnetic systems, Phys. Rev. E 102, 022124 (2020).
  27. B. Tadić, Dynamic criticality in driven disordered systems: role of depinning and driving rate in Barkhausen noise, Physica A 270, 125 (1999).
  28. S. L. A. de Queiroz and M. Bahiana, Finite driving rates in interface models of Barkhausen noise, Phys. Rev. E 64, 066127 (2001).
  29. R. A. White and K. A. Dahmen, Driving Rate Effects on Crackling Noise, Phys. Rev. Lett. 91, 085702 (2003).
  30. S. Radić, S. Janićević, D. Jovković, and D. Spasojević, The effect of finite driving rate on avalanche distributions, J. Stat. Mech. (2021) 093301.
  31. D. Spasojević and S. Janićević, Two-dimensional ferromagnetic systems with finite driving, Chaos, Solitons Fractals 158, 112033 (2022).
  32. Y. Liu and K. A. Dahmen, Unexpected universality in static and dynamic avalanches, Phys. Rev. E 79, 061124 (2009).
  33. I. Balog, G. Tarjus, and M. Tissier, Criticality of the random field Ising model in and out of equilibrium: A nonperturbative functional renormalization group description, Phys. Rev. B 97, 094204 (2018).
  34. N. G. Fytas, V. Martin-Mayor, M. Picco, and N. Sourlas, Phase Transitions in Disordered Systems: The Example of the Random-Field Ising Model in Four Dimensions, Phys. Rev. Lett. 116, 227201 (2016).
  35. N. G. Fytas, V. Martin-Mayor, G. Parisi, M. Picco, and N. Sourlas, Evidence for Supersymmetry in the Random-field Ising Model at d=5, Phys. Rev. Lett. 122, 240603 (2019).
  36. G. Parisi and N. Sourlas, Random Magnetic Fields, Supersymmetry, and Negative Dimensions, Phys. Rev. Lett. 43, 744 (1979).
  37. J. Bricmont and A. Kupiainen, Lower Critical Dimension for the Random-field Ising Model, Phys. Rev. Lett. 59, 1829 (1987).
  38. G. Parisi and N. Sourlas, Scale Invariance in Disordered Systems: The Example of the Random-Field Ising Model, Phys. Rev. Lett. 89, 257204 (2002).
  39. M. Tissier and G. Tarjus, Supersymmetry and Its Spontaneous Breaking in the Random Field Ising Model, Phys. Rev. Lett. 107, 041601 (2011).
  40. M. Kuntz, O. Perković, K. A. Dahmen, B. W. Roberts, and J. P. Sethna, Hysteresis, avalanches, and noise, Comput. Sci. Eng. 1, 73 (1999).
  41. T. A. Moore, J. Rothman, Y. B. Xu, and J. A. C. Bland, Thickness-dependent dynamic hysteresis scaling behavior in epitaxial Fe/GaAs(001) and Fe/InAs(001) ultrathin films, J. Appl. Phys. 89, 7018 (2001).
  42. D. Spasojević, S. Janićević, and M. Knežević, Analysis of spanning avalanches in the two-dimensional nonequilibrium zero-temperature random-field Ising model, Phys. Rev. E 89, 012118 (2014).
  43. F. J. Pérez-Reche and E. Vives, Finite-size scaling analysis of the avalanches in the three-dimensional Gaussian random-field Ising model with metastable dynamics, Phys. Rev. B 67, 134421 (2003).
  44. F. J. Pérez-Reche and E. Vives, Spanning avalanches in the three-dimensional Gaussian random-field Ising model with metastable dynamics: Field dependence and geometrical properties, Phys. Rev. B 70, 214422 (2004).
  45. A. Rosso, P. Le Doussal, and K. J. Wiese, Avalanche-size distribution at the depinning transition: A numerical test of the theory, Phys. Rev. B 80, 144204 (2009).
  46. K. A. Dahmen and J. P. Sethna, Hysteresis, avalanches, and disorder induced critical scaling: A renormalization group approach, Phys. Rev. B 53, 14872 (1996).
  47. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes: The Art of Scientific Computing, 3rd ed. (Cambridge University Press, Cambridge, 2007).
  48. M. C. Kuntz and J. P. Sethna, Noise in disordered systems: The power spectrum and dynamic exponents in avalanche models, Phys. Rev. B 62, 11699 (2000).
  49. G. Karakoyun and U. Akinci, Effects of the double Gaussian random field distribution on the phase diagrams and hysteresis characteristics of the magnetic binary alloys, J. Phys. B 578, 411870 (2020).

Outline

Information

Phys. Rev. E 106, 044107– Published 10 October, 2022
  • Received 18 May 2022
  • Revised 21 August 2022
  • Accepted 19 September 2022
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