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dc.contributor.authorDu, Di
Biswal, Sibani Lisa
dc.date.accessioned 2014-10-30T19:33:31Z
dc.date.available 2014-10-30T19:33:31Z
dc.date.issued 2014
dc.identifier.citation Du, Di and Biswal, Sibani Lisa. "Micro-mutual-dipolar model for rapid calculation of forces between paramagnetic colloids." Physical Review E, 90, (2014) American Physical Society: 33310. http://dx.doi.org/10.1103/PhysRevE.90.033310.
dc.identifier.urihttps://hdl.handle.net/1911/77669
dc.description.abstract Typically, 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.language.iso eng
dc.publisher American Physical Society
dc.rights Article 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.title Micro-mutual-dipolar model for rapid calculation of forces between paramagnetic colloids
dc.type Journal article
dc.contributor.funder National Science Foundation
dc.contributor.funder Welch Foundation
dc.citation.journalTitle Physical Review E
dc.citation.volumeNumber 90
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1103/PhysRevE.90.033310
dc.identifier.pmid 25314567
dc.identifier.grantID CBET-0955003 (National Science Foundation)
dc.identifier.grantID C-1755 (Welch Foundation)
dc.type.publication publisher version
dc.citation.firstpage 33310


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