Spatiotemporal Patterns in Ultraslow Domain Wall Creep Dynamics

Ferrero, Ezequiel E.; Foini, Laura; Giamarchi, Thierry; Kolton, Alejandro B.; Rosso, Alberto

doi:10.1103/physrevlett.118.147208

Cited by 49 publications

(87 citation statements)

References 47 publications

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“…We claim that this is quite consistent with the observations in Ref. [45] of a strong positive correlation between the events. Obtaining a detailed theory is more challenging, since it requires a precise and operational definition of these events (as we did here for the zero temperature avalanches).…”

Section: Conclusion and Discussionsupporting

confidence: 93%

“…This result is valid at strictly zero temperature. On the other hand, avalanches at very low but finite temperature were studied recently in numerical simulations [45]. There "events" where the interface moves forward without returning, similar to avalanches, were observed.…”

Section: Conclusion and Discussionmentioning

confidence: 93%

“…whereũ 0 i (x) is the solution of (43), which in d = 1 is given in (45). We have introduced the propagators G i (x, y) satisfying the following equations…”

Section: Review Of the Calculation Of ρ(S(x))mentioning

confidence: 99%

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Correlations between avalanches in the depinning dynamics of elastic interfaces

Doussal

Thiery

2020

Phys. Rev. E

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We study the correlations between avalanches in the depinning dynamics of elastic interfaces driven on a random substrate. In the mean field theory (the Brownian force model), it is known that the avalanches are uncorrelated. Here we obtain a simple field theory which describes the first deviations from this uncorrelated behavior in a = dc − d expansion below the upper critical dimension dc of the model. We apply it to calculate the correlations between (i) avalanche sizes (ii) avalanche dynamics in two successive avalanches, or more generally, in two avalanches separated by a uniform displacement W of the interface. For (i) we obtain the correlations of the total sizes, of the local sizes and of the total sizes with given seeds (starting points). For (ii) we obtain the correlations of the velocities, of the durations, and of the avalanche shapes. In general we find that the avalanches are anti-correlated, the occurence of a larger avalanche making more likely the occurence of a smaller one, and vice-versa. Examining the universality of our results leads us to conjecture several new exact scaling relations for the critical exponents that characterize the different distributions of correlations. The avalanche size predictions are confronted to numerical simulations for a d = 1 interface with short range elasticity. They are also compared to our recent related work on static avalanches (shocks). Finally we show that the naive extrapolation of our result into the thermally activated creep regime at finite temperature, predicts strong positive correlations between the forward motion events, as recently observed in numerical simulations. arXiv:1904.12136v1 [cond-mat.dis-nn]

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Section: Conclusion and Discussionsupporting

confidence: 93%

Section: Conclusion and Discussionmentioning

confidence: 93%

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Correlations between avalanches in the depinning dynamics of elastic interfaces

Doussal

Thiery

2020

Phys. Rev. E

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“…4. Interestingly, our measurements provide direct insights on the microscopic lengthscale involved in the avalanche processes producing DW motion [13]. Indeed, at the crossover field, the maximum excitation length should be close to the film thickness (L opt (H c , T ) ≈ t).…”

mentioning

confidence: 74%

“…Theoretically, different roughness exponents are predicted, ζ eq (f ≈ 0) close to zero drive, and ζ dep (f ≈ f dep ) close to the depinning threshold. Moreover, numerical simulations indicate that L opt is a crossover length-scale below (above) which relevant roughness exponent is ζ eq (ζ dep ), respectively [12,13]. Here, the spatial resolution of magnetooptical Kerr microscopy (≈ 1 µm) is well above L opt (= 12.5 − 80 nm) for H = H c .…”

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confidence: 81%

Universal dimensional crossover of domain wall dynamics in ferromagnetic films

et al. 2019

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The magnetic domain wall motion driven by a magnetic field is studied in (Ga,Mn)As and (Ga,Mn)(As,P) films of different thicknesses. In the thermally activated creep regime, a kink in the velocity curves and a jump of the roughness exponent evidence a dimensional crossover in the domain wall dynamics. The measured values of the roughness exponent ζ 1d = 0.62 ± 0.02 and ζ 2d = 0.45 ± 0.04 are compatible with theoretical predictions for the motion of elastic line (d = 1) and surface (d = 2) in two and three dimensional media, respectively.

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Crackling Noise and Avalanches

Tückmantel

2021

Scanning Probe Studies of Structural and Functional Properties of Ferroelectric Domains and Domain Walls

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Spatiotemporal Patterns in Ultraslow Domain Wall Creep Dynamics

Cited by 49 publications

References 47 publications

Correlations between avalanches in the depinning dynamics of elastic interfaces

Correlations between avalanches in the depinning dynamics of elastic interfaces

Universal dimensional crossover of domain wall dynamics in ferromagnetic films

Crackling Noise and Avalanches

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