Transition on the relationship between fractal dimension and Hurst exponent in the long-range connective sandpile models

Chen, Chien Chih; Lee, Ya Ting; Hasumi, Tomohiro; Hsu, Han

doi:10.1016/j.physleta.2010.11.021

Cited by 6 publications

(7 citation statements)

References 32 publications

(62 reference statements)

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“…For the independent random process, with no correlation among samples, H q = 0.5. The observational time series is persistent for H q > 0.5, whereas the sequence shows anti-persistent behavior for H q < 0.5 80 . The H q values of the four plantations were higher than 0.5, indicating they are persistent.…”

Section: Discussionmentioning

confidence: 87%

Fractal features of soil particle size distributions and their potential as an indicator of Robinia pseudoacacia invasion1

Yang

et al. 2018

Sci Rep

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To study the fractal dimensions of the soil particle size distributions (PSDs) within different plantations (of Pinus densiflora, Quercus acutissima, Robinia pseudoacacia, and Larix kaempferi) and evaluate PSDs as an indicator of the likelihood of Robinia pseudoacacia invasion, the soil porosity of 0–20 cm soil layers was measured at different plantations in the Yaoxiang Forest Farm, Shandong Province, China. The results showed that the fractal dimension (Dm) values varied from 2.59 to 2.70 among the different plantations and were significantly negatively correlated to sand content and positively correlated to silt content and clay content. Significant negative correlations were observed between Dm and both soil organic matter (SOM) (P < 0.05) and available phosphorus (P < 0.01). The multifractal entropy dimension (D1) and entropy dimension/capacity dimension (D1/D0) parameters were not significantly correlated with SOM, although significant correlations were found between SOM and each of D0, Δα, and Δf(α). Compared with the other plantations, the Robinia pseudoacacia plantation had higher nutrient contents, higher D0 and D1 values and lower Dm values. Based on principal component analysis (PCA) ordination, we concluded that Robinia pseudoacacia and Pinus densiflora shared a similar habitat and that Robinia pseudoacacia is more likely to invade Pinus densiflora plantations for soil.

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Section: Discussionmentioning

confidence: 87%

Fractal features of soil particle size distributions and their potential as an indicator of Robinia pseudoacacia invasion1

Yang

et al. 2018

Sci Rep

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“…The subdominant boosted dark matter can be the same particle as the dominant cold dark matter, or it can be a different, lighter particle. Boosted dark matter can be produced from the dominant cold dark matter through a variety of processes, including annihilation [26,27], semiannihilation [28][29][30][31][32], number-changing 3 → 2 self-annihilation [33][34][35], and decay [22,36]. Boosted dark matter can then be observed through its scattering off electrons or nuclei in large-volume terrestrial detectors [37,38].…”

mentioning

confidence: 99%

Search for Boosted Dark Matter Interacting with Electrons in Super-Kamiokande

Kachulis¹,

Abe²,

Bronner³

et al. 2018

Phys. Rev. Lett.

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A search for boosted dark matter using 161.9 kt yr of Super-Kamiokande IV data is presented. We search for an excess of elastically scattered electrons above the atmospheric neutrino background, with a visible energy between 100 MeV and 1 TeV, pointing back to the Galactic center or the Sun. No such excess is observed. Limits on boosted dark matter event rates in multiple angular cones around the Galactic center and Sun are calculated. Limits are also calculated for a baseline model of boosted dark matter produced from cold dark matter annihilation or decay. This is the first experimental search for boosted dark matter from the Galactic center or the Sun interacting in a terrestrial detector.

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Section: A Hurst Exponentmentioning

confidence: 99%

“…As recently pointed out in Chen et al [17] and Lee et al [18], Hallgass et al [20] have introduced a self-affine model (SAM) for the seismicity that mimics the fault friction by means of two fractional Brownian profiles that slide one over the other. Since the roughness index, H , of the analyzed EM time series is ~0.7 H , the SAM predicts that the probability an EM pulse having an energy E should be denoted by ( )…”

Section: ( )mentioning

confidence: 99%

“…2. Long-range connective sandpile (LRCS) models [16][17][18] predict a negative correlation between Hurst exponent H and a frequency-size power-law scaling exponent B (or the FD) for large system sizes, which seem to be consistent with studies of earthquake fault systems and real seismicity data [17][18][19][20]. Τhe B − values (and FD) typically reduce prior to large avalanches, which mimics the observed precursory phenomena of the Gutenberg -Richter b − values in real seismicity, while the H − values increase.…”

Section: ι Introductionmentioning

confidence: 99%

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Signatures of the self-affinity of fracture and faulting in pre-seismic electromagnetic emissions

Potirakis

Eftaxias

Balasis

et al. 2014

Preprint

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Of particular interest is the detection of precursors of an impending rupture. Theoretical, numerical studies along with laboratory experiments indicate that precursory signs of an impending failure are the sudden drop of fractal dimension and entropy, along with the anticorrelated, for large system sizes, rising of Hurst exponent and drop of a frequency-size power-law scaling exponent. Based on the widely accepted concept of the self-affine nature of faulting and fracture, we examine whether these precursory signs exist in the fracto-electromagnetic emissions resulting from the activation of a single fault.PACS number(s): 89.75. Da, 05.45.Tp, 61.43.Hv

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Transition on the relationship between fractal dimension and Hurst exponent in the long-range connective sandpile models

Cited by 6 publications

References 32 publications

Fractal features of soil particle size distributions and their potential as an indicator of Robinia pseudoacacia invasion1

Fractal features of soil particle size distributions and their potential as an indicator of Robinia pseudoacacia invasion1

Search for Boosted Dark Matter Interacting with Electrons in Super-Kamiokande

Signatures of the self-affinity of fracture and faulting in pre-seismic electromagnetic emissions

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