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

Simple item page
dc.citation.firstpage33310en_US
dc.citation.journalTitlePhysical Review Een_US
dc.citation.volumeNumber90en_US
dc.contributor.authorDu, Dien_US
dc.contributor.authorBiswal, Sibani Lisaen_US
dc.date.accessioned2014-10-30T19:33:31Zen_US
dc.date.available2014-10-30T19:33:31Zen_US
dc.date.issued2014en_US
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.en_US
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.en_US
dc.identifier.doihttp://dx.doi.org/10.1103/PhysRevE.90.033310en_US
dc.identifier.urihttps://hdl.handle.net/1911/77669en_US
dc.language.isoengen_US
dc.publisherAmerican Physical Societyen_US
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.en_US
dc.titleMicro-mutual-dipolar model for rapid calculation of forces between paramagnetic colloidsen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
PhysRevE.90.033310.pdf
Size:
1.55 MB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Faculty Publications
Chemical and Biomolecular Engineering Publications