Hysteresis, Barkhausen noise, and disorder induced critical behavior

Dahmen, Karin A.; Sethna, James P.; Kuntz, Matthew C.; Perkovic, Olga

doi:10.1109/20.908717

Cited by 13 publications

(6 citation statements)

References 25 publications

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“…(a)) presents oth the typical thermally activated behavior for low elds and the thermal rounding around H d , as has been eported in the literature for most of the field-and urrent-driven experiments[29,30]. Below the depining threshold (3 mT < H < H d ), the DWs follow a hermally activated creep dynamics.…”

mentioning

confidence: 62%

“…Experimental realizations of strongly disordered systems are glasses, or more specifically spin-glasses, vortexglasses, electron-glasses and structural glasses [18,19,20,21,22,23,24,25,17]. Furthermore random-field magnets [26,27,28,29,30,31,32,33,34,35,36,37,38,39], and last not least elastic systems subject to disorder, sometimes termed disordered elastic systems or disordered elastic manifolds [40,41,42,43,44,45,46,47,48,49,50,51,52,53,54], on which we focus below.…”

Section: Introductionmentioning

confidence: 99%

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Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles

Wiese

2021

Preprint

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Domain walls in magnets, vortex lattices in superconductors, contact lines at depinning, and many other systems can be modelled as an elastic system subject to quenched disorder. Its field theory possesses a well-controlled perturbative expansion around its upper critical dimension. Contrary to standard field theory, the renormalization group flow involves a function, the disorder correlator ∆(w), therefore termed the functional renormalization group (FRG). ∆(w) is a physical observable, the auto-correlation function of the centre of mass of the elastic manifold. In this review, we give a pedagogical introduction into its phenomenology and techniques. This allows us to treat both equilibrium (statics), and depinning (dynamics). Building on these techniques, avalanche observables are accessible: distributions of size, duration, and velocity, as well as the spatial and temporal shape. Various equivalences between disordered elastic manifolds, and sandpile models exist: an elastic string driven at a point and the Oslo model; disordered elastic manifolds and Manna sandpiles; charge density waves and Abelian sandpiles or loop-erased random walks. Each of these mappings requires specific techniques, which we develop, including modelling of discrete stochastic systems via coarsegrained stochastic equations of motion, super-symmetry techniques, and cellular automata. Stronger than quadratic nearest-neighbor interactions lead to directed percolation, and nonlinear surface growth with additional KPZ terms. On the other hand, KPZ without disorder can be mapped back to disordered elastic manifolds, either on the directed polymer for its steady state, or a single particle for its decay. Other topics covered are the relation between functional RG and replica symmetry breaking, and random field magnets. Emphasis is given to numerical and experimental tests of the theory.

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confidence: 62%

Section: Introductionmentioning

confidence: 99%

Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles

Wiese

2021

Preprint

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“…In the literature, such abrupt steps have been reported for the field-dependent magnetization of some ferromagnets [Barkhausen effect (24,25)], and also in acoustic emission in martensite (26). In the manganites under study, our measurements show an impurity induced-disorder, with the coexistence of several short-range OO/CO-AFM phases and small FM regions with close but different sets of unit cells.…”

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confidence: 68%

Magnetic-Field-Induced Step-like Transitions in Mn-Site Doped Manganites

Hébert

Hardy

Maignan

et al. 2002

Journal of Solid State Chemistry

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“…Upon applying an external force one observes collective jerky motion which proceeds by sudden jumps, called avalanches. Examples are the Barkhausen noise in magnets [1,2,3,4,5,6,7], jumps in the creep motion of magnetic domain walls [8,9,10,11], avalanches in the depinning of a contact-line of a fluid [12,13,14,15], or in dislocation and crack propagation [16,17,18,19], and stick-slip motion of e.g. tectonic plates, responsible for earthquakes [20,21,22,23].…”

Section: Introductionmentioning

confidence: 99%

Avalanche-size distribution at the depinning transition: A numerical test of the theory

2009

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We calculate numerically the sizes S of jumps ͑avalanches͒ between successively pinned configurations of an elastic line ͑d =1͒ or interface ͑d =2͒, pulled by a spring of ͑small͒ strength m 2 in a random-field landscape. We obtain strong evidence that the size distribution, away from the small-scale cutoff, takes the form P͑S͒ =is the scale of avalanches, and the roughness exponent at the depinning transition. Measurement of the scaling function f͑s͒ ª s p͑s͒ is compared with the predictions from a recent Functional RG ͑FRG͒ calculation, both at mean-field and one-loop level. The avalanche-size exponent is found in good agreement with the conjecture =2−2/ ͑d + ͒, recently confirmed to one loop via the FRG. The function f͑s͒ exhibits a shoulder and a stretched exponential decay at large s, ln f͑s͒ϳ−s ␦ , with ␦ Ϸ 7 / 6 in d = 1. The function f͑s͒, universal ratios of moments, and the generating function ͗e s ͘ are found in excellent agreement with the one-loop FRG predictions. The distribution of local avalanche sizes S , i.e., of the jumps of a subspace of the manifold of dimension d , is also computed and compared to our FRG predictions, and to the conjecture =2−2/ ͑d + ͒.

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Hysteresis, Barkhausen noise, and disorder induced critical behavior

Cited by 13 publications

References 25 publications

Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles

Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles

Magnetic-Field-Induced Step-like Transitions in Mn-Site Doped Manganites

Avalanche-size distribution at the depinning transition: A numerical test of the theory

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