Stochastic dynamics in quenched-in disorder and hysteresis

Bertotti, G.; Basso, Vittorio; Magni, A.

doi:10.1063/1.369782

Cited by 12 publications

(8 citation statements)

References 9 publications

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“…32 Hence there exists a distribution function over the Preisach plane that can describe the macroscopical ͑microscopical average͒ behavior of such a system. 33 This result indeed bridges the description proposed in the Preisach formalism with physical microscopical features, like Barkhausen jumps of domain walls in a random pinning field. 34,35 Moreover, it extends the idea of distributed bistable elements to the well-known level-crossing problem for a random walk process.…”

Section: Preisach Model and Stochastic Pinning Profilessupporting

confidence: 74%

Preisach modeling of piezoelectric nonlinearity in ferroelectric ceramics

Robert

Damjanović

Setter

et al. 2001

Journal of Applied Physics

130

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Preisach model and simulation of the converse piezoelectric coefficient in ferroelectric ceramics J. Appl. Phys. 97, 064102 (2005); 10.1063/1.1861965Nonlinear piezoelectric behavior of ceramic bending mode actuators under strong electric fields Piezoelectric response nonlinearity is approached using the Preisach description of hysteretic systems as collection of distributed bistable units. The Preisach model and its recent physical interpretation in terms of moving domain wall in a stochastically described pinning field are reviewed. It is shown that such an approach can effectively render not only the piezoelectric coefficient field dependences but also the field-response hysteresis, especially in the well-known case of linear piezoelectric field dependence ͑i.e., Rayleigh's law͒ where the bistable units are distributed homogeneously. New expressions for piezoelectric nonlinear behavior departing from the classical linear dependence are then derived using a more complex distribution and are qualitatively compared to experimental data for piezoelectric materials as varied as lead titanate, strontium bismuth titanate, and lead zirconate titanate. Finally, these expressions are shown to be adequate for the description of various piezoelectric coefficient behaviors such as: polynomial dependence on the applied field, dc field effect on nonlinear contributions, and threshold field for nonlinearity.

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Section: Preisach Model and Stochastic Pinning Profilessupporting

confidence: 74%

Preisach modeling of piezoelectric nonlinearity in ferroelectric ceramics

Robert

Damjanović

Setter

et al. 2001

Journal of Applied Physics

130

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“…It is assumed that each DW travels through a one‐dimensional DW pinning field, which represents the DW interactions within the particle. The pinning field can be modeled by a random function [ Bertotti et al ., ], and the behavior of the bulk sample is modeled by taking an average over a statistical ensemble of pinning fields. Bertotti et al .…”

Section: Interpretational Framework For Forc Diagramsmentioning

confidence: 99%

“…Bertotti et al . [] obtained an analytical solution for a Preisach [] distribution (roughly equivalent to a FORC distribution) for the DW pinning model, which demonstrates that a FORC diagram will have a purely vertical form that will be a decreasing function of coercivity [ Pike et al ., ]. For mathematical details of the DW pinning model, and FORC diagrams that result from this model, see Pike et al .…”

Section: Interpretational Framework For Forc Diagramsmentioning

confidence: 99%

“…It is assumed that each DW travels through a one-dimensional DW pinning field, which represents the DW interactions within the particle. The pinning field can be modeled by a random function [Bertotti et al, 1999], and the behavior of the bulk sample is modeled by taking an average over a statistical ensemble of pinning fields. Bertotti et al [1999] obtained an analytical solution for a Preisach [1935] distribution (roughly equivalent to a FORC distribution) for the DW pinning model, which demonstrates that a FORC diagram will have a purely vertical form that will be a decreasing function of coercivity [Pike et al, 2001b].…”

Section: 1002/2014rg000462mentioning

confidence: 99%

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Understanding fine magnetic particle systems through use of first-order reversal curve diagrams

et al. 2014

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First-order reversal curve (FORC) diagrams are constructed from a class of partial magnetic hysteresis loops known as first-order reversal curves and are used to understand magnetization processes in fine magnetic particle systems. A wide-ranging literature that is pertinent to interpretation of FORC diagrams has been published in the geophysical and solid-state physics literature over the past 15 years and is summarized in this review. We discuss practicalities related to optimization of FORC measurements and important issues relating to the calculation, presentation, statistical significance, and interpretation of FORC diagrams. We also outline a framework for interpreting the magnetic behavior of magnetostatically noninteracting and interacting single domain, superparamagnetic, multidomain, single vortex, and pseudosingle domain particle systems. These types of magnetic behavior are illustrated mainly with geological examples relevant to paleomagnetism, rock magnetism, and environmental magnetism. These technical, experimental, and interpretational considerations are relevant to applications that range from improving particulate media for magnetic recording in materials science, to providing a foundation for understanding geomagnetic recording by rocks in geophysics, to interpreting depositional, microbiological, and environmental processes in sediments.

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“…Building on this theory, Dunlop and Xu (1994) and Xu and Dunlop (1994) developed theories of partial thermoremanent magnetization (pTRM) acquisition of MD grains with repeated identical and nonidentical energy barriers to DW motion, respectively. Many other works focused on high-field (i.e., hysteresis) properties rather than thermal effects (Bertotti et al, 1999;Church et al, 2011;Cizeau et al, 1997;Pike et al, 2001).…”

Section: Physical Models Of MD Thermoremanencementioning

confidence: 99%

Theory of Stable Multidomain Thermoviscous Remanence Based on Repeated Domain Wall Jumps

Berndt

Chang

2018

JGR Solid Earth

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We developed a theory of multidomain (MD) thermoviscous remanence that can be solved analytically to yield an expression relating the blocking temperature of a MD grain to its relaxation time. This expression is analogous to Néel's widely used theory of single‐domain (SD) thermoviscous remanence but yields a different time‐temperature relationship. The theory is based on a two‐domain model with a domain wall (DW) that can jump between different pinning sites. In contrast to previous theories of this kind, our theory considers repeated DW jumps rather than a single jump in isolation. It is shown that while SD remanence behavior is fully described by the two quantities (V,HK0), that is, volume and microscopic coercivity, MD particle remanence depends on three quantities: volume, Barkhausen volume, and DW pinning field, denoted (V,VBark,HK0). “Pullaiah” nomograms of this new theory show that while small MD grains behave almost identically to SD grains, larger grains show different slopes depending on the above quantities. The theory predicts that MD grains can be highly stable remanence carriers, in particular showing a high thermal stability. Grains with weak pinning fields, however, while thermally stable, are highly unstable under alternating field (AF) demagnetization, being demagnetized under fields of a few millitesla. Our theory also explains (1) why samples dominated by MD grains show curved vector demagnetization plots for both thermal and AF demagnetization, as well as (2) why MD grains affect thermal demagnetization plots even at high temperatures, while their remanence is completely removed within the first few AF demagnetization steps.

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Stochastic dynamics in quenched-in disorder and hysteresis

Cited by 12 publications

References 9 publications

Preisach modeling of piezoelectric nonlinearity in ferroelectric ceramics

Preisach modeling of piezoelectric nonlinearity in ferroelectric ceramics

Understanding fine magnetic particle systems through use of first-order reversal curve diagrams

Theory of Stable Multidomain Thermoviscous Remanence Based on Repeated Domain Wall Jumps

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