Structural transformations in magnetorheological slurries induced by perturbations

Mora, Elsa; Carrillo, J. L.; Mendoza, M.E.; Donado, F.

doi:10.1140/epjb/e2013-31014-8

Cited by 9 publications

(14 citation statements)

References 25 publications

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“…This measure of complexity has been employed to characterize the structural transition of rheological fluids [23,25,33], granular materials [26,34], magnetic wall domains in boracite [27] and other complex systems [35,36].…”

Section: Multi-fractal Spectrummentioning

confidence: 99%

“…However the maximum value of the multi-fractal spectrums presented above, can be associated with different degree of order [23,25,26,27]. We obtained for an specific array of paintings listed in table (1), the evolution of the maximum value on the multi-fractal spectrum for each paint, corresponding to the HausdorfBesicovich dimension when Q = 0. mension increases, approaching to a dimension close to two, and it happens in all the groups of paintings.…”

Section: Order In Pollock's Paintingsmentioning

confidence: 99%

“…However, it is unquestionable its use to characterize digital images from physical systems [1,23,25,27]. Why it can not be used to characterized abstract art?…”

Section: Authenticationmentioning

confidence: 99%

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Order-fractal transitions in abstract paintings

Calleja¹,

Cervantes²,

Calleja³

2016

Annals of Physics

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We report the degree of order of twenty-two Jackson Pollock's paintings using Hausdorff-Besicovitch fractal dimension. Through the maximum value of each multi-fractal spectrum, the artworks are classify by the year in which they were painted. It has been reported that Pollock's paintings are fractal and it increased on his latest works. However our results show that fractal dimension of the paintings are on a range of fractal dimension with values close to two.We identify this behavior as a fractal-order transition. Based on the study of disorder-order transition in physical systems, we interpreted the fractal-order transition through its dark paint strokes in Pollocks' paintings, as structured lines following a power law measured by fractal dimension. We obtain selfsimilarity in some specific Pollock's paintings, that reveal an important dependence on the scale of observation. We also characterize by its fractal spectrum, the called Teri's Find. We obtained similar spectrums between Teri's Find and Number 5 from Pollock, suggesting that fractal dimension cannot be completely rejected as a quantitative parameter to authenticate this kind of artworks.

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Section: Multi-fractal Spectrummentioning

confidence: 99%

Section: Order In Pollock's Paintingsmentioning

confidence: 99%

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Order-fractal transitions in abstract paintings

Calleja¹,

Cervantes²,

Calleja³

2016

Annals of Physics

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“…Then, the fractal dimensions can be used as an additional tool for characterizing the complex phases emerging from phase transitions. This strategy was employed in the study of rheological fluids [15,16], granular materials [7,17,18], magnetic wall domains in boracite [19] and other complex systems [11,20,21].…”

Section: Introductionmentioning

confidence: 99%

Order–disorder structural transition in a confined fluid

Calleja-Mora

Krott

Barbosa

2016

Physica A: Statistical Mechanics and its Applications

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In this paper the amorphous/solid to disorder liquid structural phase transitions of an anomalous confined fluid is analyzed using their local fractal dimension.The model is a system of particles interacting through a two length scales potentials confined by two infinite plates. In the bulk, this fluid exhibit water-like anomalies and under confinement forms layers of particles. The particle distributions of them, present different arrangements related to amorphous/solid phases. Here only the contact layer is analyzed through fractal singularity spectrum. At high densities the structural transition its quantify by the order degree to determine the phases affected by the confinement. This mapping shows that the system as the temperature increased, the fractal dimension decreases, which is consistent with the behavior studying in such systems. This result suggests that under thermodynamic perturbations, an anomalous confined liquid, presents different phase transitions achieving be characterized by its fractality.

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“…As we consider higher particle concentrations, the aggregates become more complex forming interconnected structures whose description in terms of chains and columns is insufficient. Some of the fractal and multifractal properties of this kind of structure have been previously studied [20,[24][25][26]. However, a comprehensive study of the multifractal characteristics in a magnetic dispersion is carried out here.…”

Section: Introductionmentioning

confidence: 99%

Multifractality in dilute magnetorheological fluids under an oscillating magnetic field

2014

Self Cite

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A study of the multifractal characteristics of the structure formed by magnetic particles in a dilute magnetorheological fluid is presented. A quasi-two-dimensional magnetorheological fluid sample is simultaneously subjected to a static magnetic field and a sinusoidal magnetic field transverse to each other. We analyzed the singularity spectrum f(α) and the generalized dimension D(q) of the whole structure to characterize the distribution of the aggregates under several conditions of particle concentration, magnetic field intensities, and liquid viscosity. We also obtained the fractal dimension D(g), calculated from the radius of gyration of the chains, to describe the internal distribution of the particles. We present a thermodynamic interpretation of the multifractal analysis, and based on this, we discussed the characteristics of the structure formed by the particles and its relation with previous studies of the average chain length. We have found that this method is useful to quantitatively describe the structure of magnetorheological fluids, especially in systems with high particle concentration where the aggregates are more complex than simple chains or columns.

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Structural transformations in magnetorheological slurries induced by perturbations

Cited by 9 publications

References 25 publications

Order-fractal transitions in abstract paintings

Order-fractal transitions in abstract paintings

Order–disorder structural transition in a confined fluid

Multifractality in dilute magnetorheological fluids under an oscillating magnetic field

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