Micro-mutual-dipolar model for rapid calculation of forces between paramagnetic colloids

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dc.citation.firstpage33310
dc.citation.journalTitlePhysical Review E
dc.citation.volumeNumber90
dc.contributor.authorDu, Di
dc.contributor.authorBiswal, Sibani Lisa
dc.date.accessioned2014-10-30T19:33:31Z
dc.date.available2014-10-30T19:33:31Z
dc.date.issued2014
dc.description.abstractTypically, the force between paramagnetic particles in a uniform magnetic field is calculated using either dipole-based models or the Maxwell stress tensor combined with Laplace's equation for magnetostatics. Dipole-based models are fast but involve many assumptions, leading to inaccuracies in determining forces for clusters of particles. The Maxwell stress tensor yields an exact force calculation, but solving Laplace's equation is very time consuming. Here, we present a more elaborate dipole-based model: the micro-mutual-dipolar model. Our model has a time complexity that is similar to that of other dipole-based models but is much more accurate especially when used to calculate the force of small aggregates. Using this model, we calculate the force between two paramagnetic spheres in a uniform magnetic field and a circular rotational magnetic field and compare our results with those of other models. The forces for three-particle and ten-particle systems dispersed in two-dimensional (2D) space are examined using the same model. We also apply this model to calculate the force between two paramagnetic disks dispersed in 2D space. The micro-mutual-dipolar model is demonstrated to be useful for force calculations in dynamic simulations of small clusters of particles for which both accuracy and efficiency are desirable.
dc.identifier.citationDu, Di and Biswal, Sibani Lisa. "Micro-mutual-dipolar model for rapid calculation of forces between paramagnetic colloids." <i>Physical Review E,</i> 90, (2014) American Physical Society: 33310. http://dx.doi.org/10.1103/PhysRevE.90.033310.
dc.identifier.doihttp://dx.doi.org/10.1103/PhysRevE.90.033310
dc.identifier.urihttps://hdl.handle.net/1911/77669
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
dc.titleMicro-mutual-dipolar model for rapid calculation of forces between paramagnetic colloids
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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