Janićević 
<i>et al.</i>
 Reply:

Janićević, Sanja; Laurson, Lasse; Måløy, Knut Jørgen; Santucci, Stéphane; Alava, Mikko J.

doi:10.1103/physrevlett.119.188901

Cited by 16 publications

(27 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Fitting these values to Eq.2 yields σ c = 0.84 ± 0.06, a = 1.97 ± 0.05, and b = 0.24 ± 0.03. It is satisfying that the values of σ c obtained by the two methods are reasonably close to each other and also close to the estimate σ c = 0.85 ± 0.02 obtained in reference [14] by studying large systems of size up to L = 65536. Simulations presented in Fig.4 demonstrate the existence of critical hysteresis on a triangular lattice.…”

Section: The Model and Numerical Resultssupporting

confidence: 88%

“…However numerical uncertainties are large and diminish extremely slowly with increasing system size. As mentioned earlier, initial studies on triangular lattices of sizes L × L with L ≤ 600 indicated σ c = 1.22 [15] but more extensive simulations on lattices up to L = 65536 yield σ c = 0.85 [14]. The procedure for determining σ c is rather indirect, tedious, cpu intensive, and various compromises have to be made in order to draw reasonable conclusions [15].…”

Section: The Model and Numerical Resultsmentioning

confidence: 99%

“…However the estimated value of σ c appears to decrease slowly with increasing size of lattice. A study on lattices of size L × L with L ≤ 600 gives σ c = 1.22 [15], while more extensive simulations on lattices of size up to L ≤ 65536 yield σ c = 0.85 [14]. We may remark that the critical exponents on the triangular lattice appear to be different from those on the square lattice [14].…”

Section: Introductionmentioning

confidence: 85%

“…A study on lattices of size L × L with L ≤ 600 gives σ c = 1.22 [15], while more extensive simulations on lattices of size up to L ≤ 65536 yield σ c = 0.85 [14]. We may remark that the critical exponents on the triangular lattice appear to be different from those on the square lattice [14]. This is puzzling in the context of the universality of critical phenomena and the broader implications of this result are not clear.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Critical hysteresis on dilute triangular lattice

Thongjaomayum

Shukla

2019

Phys. Rev. E

View full text Add to dashboard Cite

Critical hysteresis in the zero-temperature random-field Ising model on a two-dimensional triangular lattice has been studied earlier with site dilution on one sublattice. It was reported that criticality vanishes if less than one third of the sublattice is occupied. This appears at variance with recently obtained exact solutions of the model on dilute Bethe lattices and prompts us to revisit the problem using an alternate numerical method. Contrary to our speculation that criticality may not be exactly zero below one third dilution, the present study indicates it is nearly zero if approximately less than two-thirds of the sublattice is occupied. This suggests that hysteresis on dilute periodic lattices is qualitatively different from that on dilute Bethe lattices. Possible reasons are discussed briefly.

show abstract

Section: The Model and Numerical Resultssupporting

confidence: 88%

Section: The Model and Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 85%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Critical hysteresis on dilute triangular lattice

Thongjaomayum

Shukla

2019

Phys. Rev. E

View full text Add to dashboard Cite

show abstract

“…One of the standard propositions to define avalanches is to threshold the global velocity signal. However this kind of analysis raises important issues : If the threshold is too large, a single avalanche may be interpreted as a series of seemingly distinct events, while if it is too small subsequent avalanches can be merged into a single event [9][10][11][12]. Hence disentangling avalanches becomes nearly impossible and accurately measuring critical exponents is then particularly challenging.…”

mentioning

confidence: 99%

Universal Scaling of the Velocity Field in Crack Front Propagation

et al. 2020

View full text Add to dashboard Cite

The propagation of a crack front in disordered materials is jerky and characterized by bursts of activity, called avalanches. These phenomena are the manifestation of an out-of-equilibrium phase transition originated by the disorder. As a result avalanches display universal scalings which are however difficult to characterize in experiments at finite drive. Here we show that the correlation functions of the velocity field along the front allow to extract the critical exponents of the transition and to identify the universality class of the system. We employ these correlations to characterize the universal behavior of the transition in simulations and in an experiment of crack propagation. This analysis is robust, efficient and can be extended to all systems displaying avalanche dynamics. PACS numbers:arXiv:1909.09075v2 [cond-mat.stat-mech]

show abstract

Threshold-induced correlations in the Random Field Ising Model

Janićević

Jovković

Laurson

et al. 2018

Sci Rep

View full text Add to dashboard Cite

We present a numerical study of the correlations in the occurrence times of consecutive crackling noise events in the nonequilibrium zero-temperature Random Field Ising model in three dimensions. The critical behavior of the system is portrayed by the intermittent bursts of activity known as avalanches with scale-invariant properties which are power-law distributed. Our findings, based on the scaling analysis and collapse of data collected in extensive simulations show that the observed correlations emerge upon applying a finite threshold to the pertaining signals when defining events of interest. Such events are called subavalanches and are obtained by separation of original avalanches in the thresholding process. The correlations are evidenced by power law distributed waiting times and are present in the system even when the original avalanche triggerings are described by a random uncorrelated process.

show abstract

Janićević et al. Reply:

Cited by 16 publications

References 10 publications

Critical hysteresis on dilute triangular lattice

Critical hysteresis on dilute triangular lattice

Universal Scaling of the Velocity Field in Crack Front Propagation

Threshold-induced correlations in the Random Field Ising Model

Contact Info

Product

Resources

About