Rotational diffusion of a tracer colloid particle

Jones, Robert B.; Alavi, F.N.

doi:10.1016/0378-4371(92)90004-a

Cited by 16 publications

(15 citation statements)

References 15 publications

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“…which agrees very well with previous calculations of these coefficients first done by Batchelor & Green (1972) and Batchelor (1976) and then with higher precision due to inclusion of hydrodynamic interactions at higher orders by , Jones (1988), Wajnryb & Dahler (1997), Cichocki et al (1999), Cichocki et al (2002) and Cichocki et al (2003). It is also worth pointing out that, since the absolute values of the coefficients D qq , K qq and G increase quickly with , the validity of the asymptotic expansion in the volume fraction φ may break down for large values of ; in other words for 1 the two-particle corrections are no longer much smaller than unity.…”

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confidence: 87%

Short-time self-diffusion, collective diffusion and effective viscosity of dilute hard sphere magnetic suspensions

Mizerski

Wajnryb

2016

J. Fluid Mech.

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The virial corrections to short-time self-and collective diffusion coefficients as well as the effective viscosity are calculated for suspensions of hard spheres with the same radii and constant (blocked within the particle) magnetization modelled by a point dipole. Analytic, integral formulae derived from basic principles of statistical mechanics are provided for both cases -in the absence and in the presence of an external magnetic field. In the former case the diffusion and viscosity coefficients are evaluated numerically as a function of the strength of magnetic interactions between the particles and it is reported that the translational collective diffusion coefficient is significantly greater than all the other coefficients. In the presence of an external magnetic field the coefficients become anisotropic and are evaluated in the asymptotic regime of weak interparticle magnetic interactions.

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supporting

confidence: 87%

Short-time self-diffusion, collective diffusion and effective viscosity of dilute hard sphere magnetic suspensions

Mizerski

Wajnryb

2016

J. Fluid Mech.

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“…For a spherical molecule in a continuous medium or for diffusion in the short time regime, the decay follows a single exponential that defines the rotational diffusion coefficient. In the long time regime the decay has been shown theoretically (Jones, 1989) to be non-exponential and this has been confirmed experimentally in some cases (Degiorgio and Piazza, 1995) but not in others (Koenderink et al, 2003).…”

Section: Rotational Diffusionmentioning

confidence: 90%

Macromolecular crowding in biological systems: hydrodynamics and NMR methods

Bernadó

Torre

Pons

2004

J of Molecular Recognition

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Most biologically relevant environments involve highly concentrated macromolecular solutions and most biological processes involve macromolecules that diffuse and interact with other macromolecules. Macromolecular crowding is a general phenomenon that strongly affects the transport properties of macromolecules (rotational and translational diffusion) as well as the position of their equilibria. NMR methods can provide information on molecular interactions, as well as on translational and rotational diffusion. In fact, rotational diffusion, through its determinant role in NMR relaxation, places a practical limit on the systems that can be studied by NMR. While in dilute solutions of non-aggregating macromolecules this limit is set by macromolecular size, in crowded solutions excluded volume effects can have a strong effect on the observed diffusion rates. Hydrodynamic theory offers some insight into the magnitude of crowding effects on NMR observable parameters.

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“…The Brownian dynamics simulation is based on the integration of these equations in the configurational space including in the present case both positional and orientational coordinates. 21 The algorithm for such a system has been derived from the corresponding Smoluchowki equation by Jones and Alavi 22 and is used to generate trajectories of interacting dipolar spheres, possibly in the presence of an external permanent magnetic field. In this work, focusing only on the structural properties of the colloidal suspension, indirect hydrodynamic interactions between particles in motion are neglected.…”

Section: A Brownian Dynamics Algorithmmentioning

confidence: 99%

Structural properties of charge-stabilized ferrofluids under a magnetic field: A Brownian dynamics study

Mériguet

Jardat

Turq

2004

The Journal of Chemical Physics

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Articles you may be interested in Theory of magnetic fluid heating with an alternating magnetic field with temperature dependent materials properties for self-regulated heating J. Appl. Phys. 105, 07B324 (2009); 10.1063/1.3076043 Dynamic susceptibility investigation of biocompatible magnetic fluids: The surface coating effect J. Appl. Phys. 97, 10Q911 (2005); 10.1063/1.1853152 Structural properties of charge-stabilized ferrofluids under a magnetic field: A Brownian dynamics study Low-temperature susceptibility of concentrated magnetic fluids We investigate the structure of a recently proposed magnetic fluid consisting of shifted dipolar (SD) particles in an externally applied magnetic field via computer simulations. For standard dipolar fluids the applied magnetic field usually enhances the dipole-dipole correlations and facilitates chain formation whereas in the present system the effect of an external field can result in a break-up of clusters. We thoroughly investigate the origin of this phenomenon through analyzing first the ground states of the SD-particle systems as a function of an applied field. In a second step we quantify the microstructure of these systems as functions of the shift parameter, the effective interaction parameter , and the applied magnetic field strength. We conclude the paper by showing that with the proper choice of parameters, it is possible to create a system of SD-particles with highly interacting magnetic particles, whose initial susceptibility is below the Langevin susceptibility, and which remains spatially isotropic even in a very strong external magnetic field. © 2013 AIP Publishing LLC.

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Rotational diffusion of a tracer colloid particle

Cited by 16 publications

References 15 publications

Short-time self-diffusion, collective diffusion and effective viscosity of dilute hard sphere magnetic suspensions

Short-time self-diffusion, collective diffusion and effective viscosity of dilute hard sphere magnetic suspensions

Macromolecular crowding in biological systems: hydrodynamics and NMR methods

Structural properties of charge-stabilized ferrofluids under a magnetic field: A Brownian dynamics study

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