Effective fields in magnetic colloids and features of their magnetization kinetics

Dikansky, Yuri; Ispiryan, A. G.; Arefyev, I. M.; Kunikin, S. A.

doi:10.1140/epje/s10189-021-00015-y

Cited by 7 publications

(5 citation statements)

References 37 publications

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“…As a kind of analogy, one can mention that Equation (1) contains H e f f as its argument, which, in turn, also contains the Langevin function. Thus, combining both (1) and ( 2) under the strong-field approximation (6), we obtain the nested structure similar to the first terms of the continued fraction representation of the electric ladder circuit that is a known example [34] of the system leading to the fractional-order dynamics with solutions expressed via the Mittag-Leffler function.…”

Section: Discussionmentioning

confidence: 99%

“…In fact, experimental data showed in Figure 1A follow a curved path resembling some stretched exponential rather than a straight line as a function of the inverse magnetic field. This argues in favour of searching a more relevant approximation than Equation (6).…”

Section: The Mittag-leffler Function As An Approximant For the Static Magnetization Curvementioning

confidence: 99%

“…The magnetization of ferrofluids under realistic conditions of a highly concentrated suspension of magnetic particles covered by envelopes preventing the aggregation, and taking into account the possible polydispersity of these particles, is a complicated problem of condensed matter physics still far from its final resolution [1][2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

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Mittag–Leffler Function as an Approximant to the Concentrated Ferrofluid’s Magnetization Curve

Ryapolov

Postnikov

2021

Fractal Fract

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In this work, we show that the static magnetization curve of high-concentrated ferrofluids can be accurately approximated by the Mittag–Leffler function of the inverse external magnetic field. The dependence of the Mittag–Leffler function’s fractional index on physical characteristics of samples is analysed and its growth with the growing degree of system’s dilution is revealed. These results provide a certain background for revealing mechanisms of hindered fluctuations in concentrated solutions of strongly interacting of the magnetic nanoparticles as well as a simple tool for an explicit specification of macroscopic force fields in ferrofluid-based technical systems.

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Section: Discussionmentioning

confidence: 99%

Section: The Mittag-leffler Function As An Approximant For the Static Magnetization Curvementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Mittag–Leffler Function as an Approximant to the Concentrated Ferrofluid’s Magnetization Curve

Ryapolov

Postnikov

2021

Fractal Fract

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“…Measurements and statistical processing of the measurement results were carried out using ImageScope software created by SMA LLC (Moscow, Russia). A more detailed description of the materials may be found in previously published works [8,[54][55][56][57].…”

Section: Methodsmentioning

confidence: 99%

The Influence of Magnetic Fields on Electrophoretic Processes in Magnetic Colloids with Different Stabilization Mechanisms

Dikansky,

Drozdov,

Eskova

et al. 2023

Magnetochemistry

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Electrophoretic nanostructuring is a promising approach for the creation of functional surfaces and active layers. The potency of this approach may be further enhanced by additional factors of various natures, such as magnetic fields. In this work, we have studied the process of electrophoresis in thin layers of water- and kerosene-based magnetic liquids and the effect of additional magnetic fields on the occurring processes. It was found that the electrophoresis process can be significantly affected by inhomogeneous magnetic fields. The possibility of compensating electrophoresis processes in such systems by means of inhomogeneous magnetic field influence was shown. Structural changes in magnetic colloids on hydrocarbon bases under the influence of an electric field have been studied. The role of electrohydrodynamic flows arising in this process is considered, and the influence of the magnetic field on the configuration of the formed labyrinth structure is studied. The dependence of the threshold value of the electric field strength corresponding to the emergence of the structure on the temperature and additionally applied magnetic field has been established. The obtained results could contribute to the development of an original method for determining the charge and magnetic moment of a single nanoparticle.

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“…Liquid-dispersed nanostructured systems (ferrocolloids or magnetic fluids) have unique electrical and electro-optical properties, which are of scientific interest from the point of view of studying the interaction of dispersed particles with external fields and with each other [1][2][3][4][5]. A ferrocolloid is a colloidal system of ferromagnetic particles (magnetite) with a size of ~10 nm in a carrier liquid (kerosene).…”

Section: Introductionmentioning

confidence: 99%

Experimental and Theoretical Study of Forced Synchronization of Self-Oscillations in Liquid Ferrocolloid Membranes

2022

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A ferrocolloid is a suspension of nanometer-sized ferromagnetic particles (magnetite) in a carrier liquid (kerosene). A unique feature of a ferrocolloid is the fact that layers consisting of densely packed particles are formed near the electrode surface under the influence of an external electric field. Each layer is a liquid membrane, and its formation significantly affects the various properties of the system. For example, the development of a unique phenomenon in a ferrocolloid is self-organization (self-oscillations and autowaves). The applied external periodic force leads to a change (capture) of the frequency of the autowave process-forced synchronization of autowaves. The experimentally obtained synchronization was investigated by the method of electrically controlled interference. After multiple experiments and theoretical studies, a physical mechanism for the synchronization of the autowave process in a cell with a ferrocolloid was proposed for the first time. A mathematical model of forced synchronization of autowaves, which is described by a system of nonlinear differential equations, was proposed for the first time as well. Adding an external periodic force into the model led to a change in the frequency of autowaves; synchronization by an external force was confirmed by computational experiments.

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Effective fields in magnetic colloids and features of their magnetization kinetics

Cited by 7 publications

References 37 publications

Mittag–Leffler Function as an Approximant to the Concentrated Ferrofluid’s Magnetization Curve

Mittag–Leffler Function as an Approximant to the Concentrated Ferrofluid’s Magnetization Curve

The Influence of Magnetic Fields on Electrophoretic Processes in Magnetic Colloids with Different Stabilization Mechanisms

Experimental and Theoretical Study of Forced Synchronization of Self-Oscillations in Liquid Ferrocolloid Membranes

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