Temperature effects on drift of suspended single-domain particles induced by the Magnus force

Denisov, S. I.; Lyutyy, T. V.; Reva, V. V.; Yermolenko, A.S.

doi:10.1103/physreve.97.032608

Cited by 14 publications

(9 citation statements)

References 31 publications

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“…Our results demonstrate that clustering can also occur in the absence of pinning when there is any dispersity in the skyrmions that produces differences in the Magnus term. These results may also be relevant for soft matter systems in which Magnus forces are important, such as magnetic particles in solutions [55][56][57] or spinning colloidal particles 58,59 , where different size particles could experience different effective Magnus forces.…”

Section: Introductionmentioning

confidence: 89%

Disordering, clustering, and laning transitions in particle systems with dispersion in the Magnus term

Reichhardt

2019

Phys. Rev. E

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We numerically examine a two-dimensional system of repulsively interacting particles with dynamics that are governed by both a damping term and a Magnus term. The magnitude of the Magnus term has one value for half of the particles and a different value for the other half of the particles. In the absence of a driving force, the particles form a triangular lattice, while when a driving force is applied, we find that there is a critical drive above which a Magnus-induced disordering transition can occur even if the difference in the Magnus term between the two particle species is as small as one percent. The transition arises due to the different Hall angles of the two species, which causes their motion to decouple at the critical drive. At higher drives, the disordered state can undergo both species and density phase separation into a density modulated stripe that is oriented perpendicular to the driving direction. We observe several additional phases that occur as a function of drive and Magnus force disparity, including a variety of density modulated diagonal laned phases. In general we find a much richer variety of states compared to systems of oppositely driven overdamped Yukawa particles. We discuss the implications of our work for skyrmion systems, where we predict that even for small skyrmion dispersities, a drive-induced disordering transition can occur along with clustering phases and pattern forming states.

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Section: Introductionmentioning

confidence: 89%

Disordering, clustering, and laning transitions in particle systems with dispersion in the Magnus term

Reichhardt

2019

Phys. Rev. E

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“…In most of these systems, the dynamics is overdamped; however, some systems also include nondissipative effects such as inertia or Magnus forces. In particular, Magnus forces produce a velocity component that is perpendicular to the net force experienced by a particle, and such forces arise for vortices in fluids [23][24][25][26] , active spinners [27][28][29][30][31] , chiral active matter 32 , charged particles in magnetic fields 33 , and skyrmions in chiral magnets [34][35][36] . One consequence of this is that pairs or clusters of particles can undergo rotations or spiraling motion when they enter a confining potential [37][38][39][40][41] or are subjected to a quench 42 .…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Magnus Dominated Particle Clusters, Collisions, Pinning and Ratchets

Reichhardt,

Reichhardt

2020

Preprint

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Motivated by the recent work in skyrmions and active chiral matter systems, we examine pairs and small clusters of repulsively interacting point particles in the limit where the dynamics is dominated by the Magnus force. We find that particles with the same Magnus force can form stable pairs, triples and higher ordered clusters or exhibit chaotic motion. For mixtures of particles with opposite Magnus force, particle pairs can combine to form translating dipoles. Under an applied drive, particles with the same Magnus force translate; however, particles with different or opposite Magnus force exhibit a drive-dependent decoupling transition. When the particles interact with a repulsive obstacle, they can form localized orbits with depinning or unwinding transitions under an applied drive. We examine the interaction of these particles with clusters or lines of obstacles, and find that the particles can become trapped in orbits that encircle multiple obstacles. Under an ac drive, we observe a series of ratchet effects, including ratchet reversals, for particles interacting with a line of obstacles due to the formation of commensurate orbits. Finally, in assemblies of particles with mixed Magnus forces of the same sign, we find that the particles with the largest Magnus force become localized in the center of the cluster, while for mixtures with opposite Magnus forces, the motion is dominated by transient local pairs or clusters, where the translating pairs can be regarded as a form of active matter.

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“…Within this framework, we have predicted the phenomenon of their directed transport induced by the Magnus force in both deterministic and stochastic approximations (see Ref. [12] and references therein). Since the direction of motion and average velocity of nanoparticles can easily be controlled by external magnetic fields, the Magnus mechanism of directed transport could be used in drug delivery and separation applications.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Suspended Nanoparticles in a Time-varyingGradient Magnetic Field: Analytical Results

Denisov

Lyutyy²,

Liutyi³

2020

J. Nano- Electron. Phys.

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We study theoretically the deterministic dynamics of single-domain ferromagnetic nanoparticles in dilute ferrofluids, which is induced by a time-varying gradient magnetic field. Using the force and torque balance equations, we derive a set of the first-order differential equations describing the translational and rotational motions of such particles characterized by small Reynolds numbers. Since the gradient magnetic field generates both the translations and rotations of particles, these motions are coupled. Based on the derived set of equations, we demonstrate this fact explicitly by expressing the particle position through the particle orientation angle, and vice versa. The obtained expressions are used to show that the solution of the basic set of equations is periodic in time and to determine the intervals, where the particle coordinate and orientation angle oscillate. In addition, this set of equations is solved approximately for the case of small characteristic frequency of the particle oscillations. With this condition, we find that all particles perform small translational oscillations near their initial positions. In contrast, the orientation angle oscillates near the initial angle only if particles are located in the vicinity of zero point of the gradient magnetic field. The possible applications of the obtained results in biomedicine and separation processes are also discussed.

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Temperature effects on drift of suspended single-domain particles induced by the Magnus force

Cited by 14 publications

References 31 publications

Disordering, clustering, and laning transitions in particle systems with dispersion in the Magnus term

Disordering, clustering, and laning transitions in particle systems with dispersion in the Magnus term

Dynamics of Magnus Dominated Particle Clusters, Collisions, Pinning and Ratchets

Dynamics of Suspended Nanoparticles in a Time-varyingGradient Magnetic Field: Analytical Results

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