Nonlinear phenomena in systems of magnetic holes

Helgesen, Geir; Pierański, P.; Skjeltorp, A. T.

doi:10.1103/physrevlett.64.1425

Cited by 119 publications

(96 citation statements)

References 8 publications

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“…It was shown that for frequency above the wire undergoes an hydrodynamic instability between two rotation regimes [32,33]. In Regime I, the wire rotates at the same frequency as the field, whereas in Regime II it is animated of asynchronous back-and-forth motions.…”

Section: -Theoretical Backgroundmentioning

confidence: 99%

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Magnetic wire-based sensors for the microrheology of complex fluids

et al. 2013

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Abstract:We propose a simple µ-rheology technique to evaluate the viscoelastic properties of complex fluids. The method is based on the use of magnetic wires of a few microns in length submitted to a rotational magnetic field. In this work, the method is implemented on a surfactant wormlike micellar solution that behaves as an ideal Maxwell fluid. With increasing frequency, the wires undergo a transition between a steady and a hindered rotation regime. The study shows that the average rotational velocity and the amplitudes of the oscillations obey scaling laws with well-defined exponents. From a comparison between model predictions and experiments, the rheological parameters of the fluid are determined. -IntroductionRheology is the study of flow and deformation of fluids when they are submitted to mechanical stresses. Conventional rheometers determine the relationship between strain and stress in steady or oscillating flow on samples of a few milliliters. µ-rheology in contrast studies the motion of micron-size probe particles that are thermally fluctuating via the interactions with a surrounding medium, or particles that are forced by an external field. In the first case, the µ-rheology is said to be passive, in the second active. In both cases, the motion of the probes is related by the mechanical properties of the medium. Fluids produced in small quantities, e.g. costly protein dispersion or fluids confined in small volumes down to 1 picoliter, such as living cells can only be examined by this technique. With the development of microfluidics systems in the last decade [1], rapid advances were made in the field of µ-rheology. Standard experimental protocols and data treatment softwares are now available and implemented on a regular and controlled basis [2][3][4][5][6][7]. The correspondence between µ-and macro-rheology is nowadays well established. In µ-rheology, the objective is to translate the motion of a probe particle into the relevant rheological

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Section: -Theoretical Backgroundmentioning

confidence: 99%

“…2 illustrate typical temporal evolutions of the wire orientation for viscous (a, b), elastic (c, d) and viscoelastic (e, f) cases. The red lines indicate the average angular velocity Ω = [18,32,33]. For viscous and viscoelastic fluids, Ω is positive whereas it is zero for an elastic solid.…”

Section: -Theoretical Backgroundmentioning

confidence: 99%

Magnetic wire-based sensors for the microrheology of complex fluids

et al. 2013

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“…14 Helgesen and co-workers 13 investigated this type of nonlinear phenomena in systems with magnetic holes. Shelton and colleagues rotated a glass nanorod under optical rotation and characterized the rotational behavior of single rods.…”

Section: Introductionmentioning

confidence: 99%

Sudden Breakdown in Linear Response of a Rotationally Driven Magnetic Microparticle and Application to Physical and Chemical Microsensing

et al. 2006

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In this work, sensing magnetic microparticles were used to probe both the local pH and the viscosity-dependent nonlinear rotational behavior of the particles. The latter resulted from a critical transition marking a driven particle's crossover from phase-locking to phase-slipping with an externally rotating magnetic field, i.e., a sudden breakdown in its linear response that can be used to measure a variety of physical quantities. The transition from simple rotation to wobbling is described both theoretically and experimentally. The ability to measure both chemical and physical properties of a system could enable simultaneous monitoring of chemical and physical interactions in biological or other complex fluid microsystems.

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“…which is known as the nonuniform oscillator equation [4,[12][13][14][15]. Nonuniform oscillators described by Eq.…”

Section: Theoretical Considerationsmentioning

confidence: 99%

“…Drastic changes in the rotational motion of micro-objects are characteristic of the behavior of overdamped driven nonlinear oscillators [4,[12][13][14][15]. Such systems exhibit two classes of motional behavior: (1) linear phase-locked rotation at low external driving frequencies and (2) nonlinear phase-slipping rotation at high external driving frequencies.…”

Section: Introductionmentioning

confidence: 99%

Slipping friction of an optically and magnetically manipulated microsphere rolling at a glass-water interface

Agayan

Smith

Kopelman

2008

Journal of Applied Physics

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The motion of submerged magnetic microspheres rolling at a glass-water interface has been studied using magnetic rotation and optical tweezers combined with bright-field microscopy particle tracking techniques. Individual microspheres of varying surface roughness were magnetically rotated both in and out of an optical trap to induce rolling, 2 along either plain glass cover slides or glass cover slides functionalized with polyethylene glycol. It has been observed that the manipulated microspheres exhibited nonlinear dynamic rolling-while-slipping motion characterized by two motional regimes: At low rotational frequencies, the speed of microspheres free-rolling along the surface increased proportionately with magnetic rotation rate; however, a further increase in the rotation frequency beyond a certain threshold revealed a sharp transition to a motion in which the microspheres slipped with respect to the external magnetic field resulting in decreased rolling speeds. The effects of surface-microsphere interactions on the position of this threshold frequency are posed and investigated. Similar experiments with microspheres rolling while slipping in an optical trap showed congruent results.

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Nonlinear phenomena in systems of magnetic holes

Cited by 119 publications

References 8 publications

Magnetic wire-based sensors for the microrheology of complex fluids

Magnetic wire-based sensors for the microrheology of complex fluids

Sudden Breakdown in Linear Response of a Rotationally Driven Magnetic Microparticle and Application to Physical and Chemical Microsensing

Slipping friction of an optically and magnetically manipulated microsphere rolling at a glass-water interface

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