On the properties of “short” granular magnets with disordered chains of grains: A field between grains

Sandulyak, A. A.; Ershova, V. A.; Ershov, D.V.; Sandulyak, A. V.

doi:10.1134/s106378341010015x

Cited by 16 publications

(21 citation statements)

References 1 publication

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“…for the distances no less than the magnetic body's own size) the types of dependences F on x, obtained both by the formulae (9, 10) and the formula (11), are close, namely F~1/x 2 ( Fig.3b, lines 1 and 2 / ). It means that for such x area (for 'non-point' ferro-particles) there may still be applicable traditionally employed formulae (1) and (2), provided there is an adjusting coefficient being introduced (here the coefficient is 3.6).…”

Section: Discussionmentioning

confidence: 78%

“…Being depicted in logarithmical coordinates in the same Area to the accuracy of invariable a, this dependence may be easily ascertained to be shown as an inverse degree (with index n, close to one [11]), i.e. χ в = (a/H) n .…”

Section: Resultsmentioning

confidence: 99%

“…Fig.3 a,b feature the analytic data of the ball magnetic attraction specific force obtained by The formula (11) and presented in both common and logarithmic coordinates for further functional validation. Please, keep in mind that the formula is applicable to the ferro-bodies (balls) of real sizes which certainly perturb the field they are exposed to.…”

Section: Resultsmentioning

confidence: 99%

See 2 more Smart Citations

Specification of Force Influencing a Particle in a Magnetic Field

Sandulyak¹,

Sandulyak²,

Polismakova³

et al. 2017

dtetr

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Abstract. We elaborate a special case of solving the problem of the calculating expression and obtaining the corresponding data for the ferro-particles magnetic capture force: in the paraxial zone between two opposing and likewise distanced magnetic elements. To the effect, we try to bring out the full potential of the traditionally used classical expression for a magnetic force (which is fair if applicable to the point weakly susceptible ferro-particle) with its possible adjustment for studying a real ferro-object (a ball).

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Section: Discussionmentioning

confidence: 78%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Specification of Force Influencing a Particle in a Magnetic Field

Sandulyak¹,

Sandulyak²,

Polismakova³

et al. 2017

dtetr

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“…Results of the theoretical and experimental researches about magnetizing (by field with intensity H 0 ) chain of balls point to acceptable (and easy-designed) form of pole pieces [14][15][16][17] (Fig. 1a).…”

Section: Discussion and Resultsmentioning

confidence: 99%

Option of the Optical-mechanical Positioning of the Sensor and Sample in the Magnetometer. Determination of Magnetic Susceptibility of Powders and particles

Sandulyak¹,

Kiselev²,

Polismakova³

2018

ITM Web Conf.

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In Faraday's magnetometer it is recommended to apply remotely the located poles hemispheres. In this case (and similar cases) there is a need for expeditious and exact positioning of the measuring sensor (Hall) and the studied samplefor obtaining the most authentic characteristics of induction and its gradient, identification and use of a zone of stability. This problem is solved by the corresponding opticalmechanical system of positioning. It consists of the laser modules promoting aim positioning, the Web camera promoting final positioning. On the received concentration dependences of magnetic susceptibility of powder samples existence of limited line sections is confirmed that gives the chance to define susceptibility of particles. The critical relation to use for the similar purposes of samples (disperse) in the form of colloids and suspensions expresses.

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“…At the characteristic gradH = dH/dx in the point corresponding to the abscissa of the characteristic H inflexion, there is observed a pronounced extremum; moreover, characteristic HgradH really becomes also extreme (let us note that the extremum abscissa is shifted to the area of lesser values of x) [7][8][9].…”

Section: Conceptual Approachmentioning

confidence: 99%

The working zone in the interpolar area of the Faraday balance: an approach to testing the magnetic force factor stability criterion

et al. 2017

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Abstract. Due to rapid development of the scientific and applied research in magnetic control and magnetophoresis of ferro-and ferromagnetic disperse fraction of various technological, natural and industry-specific media, the Faraday method is again in high demand as it is mainly aimed at defining magnetic susceptibility of solid and heterogeneous samples of small volumes. Based on the appearing (and then measured) ponderomotive force impacting the sample, the method allows accurate determining of single particles magnetic susceptibility by using the data of the sample represented by a conglomerate of the particles of such a fraction. In addition, it is mentioned that to date there is still a great gap in the methodology of the Faraday method as there are no exact recommendations on choosing both the form of the polar pieces of the Faraday balance and the positioning of the sample (the location of the working zone) in the interpolar area. Owing to these drawbacks, the well-known and long-time used Faraday method cannot be considered substantiated to a satisfactory degree. Thus, in our point of view, the treatment of the results obtained earlier with the help of the method should be cautious. In our work, we experimentally defined and substantiated an approach to identifying a working (local) zone, viz. the zone with stable values of the magnetic force factor -the product of the field intensity and induction by its gradient. The approach features the relative phenomenological analysis and is exemplified by polar pieces of non-traditional spherical form. It has been demonstrated that in order to state the fact of mere existence of this zone (and its location) in the interpolar area, the coordinate (usually nonlinear one) characteristic of intensity or induction, which is obligatorily obtained in an experiment, should have an inflexion, which guarantees a functionally extreme view of the following coordinate characteristics both of the gradient and that of the force factor. We also established the coordinates and the length of the working zone in a specific interpolar area.

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On the properties of “short” granular magnets with disordered chains of grains: A field between grains

Cited by 16 publications

References 1 publication

Specification of Force Influencing a Particle in a Magnetic Field

Specification of Force Influencing a Particle in a Magnetic Field

Option of the Optical-mechanical Positioning of the Sensor and Sample in the Magnetometer. Determination of Magnetic Susceptibility of Powders and particles

The working zone in the interpolar area of the Faraday balance: an approach to testing the magnetic force factor stability criterion

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