2017
DOI: 10.1063/1.4986501
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Effective colloidal interactions in rotating magnetic fields

Abstract: Non-equilibrium, steady-state effective pair potentials of micron-sized superparamagnetic particles in rotating magnetic fields are obtained vs. field frequency and amplitude. Trajectories of center-to-center distance between particle pairs from Brownian dynamic simulations, which were previously matched to experimental measurements, are analyzed to obtain local drift and diffusion coefficients. These coefficients are used to obtain effective interaction potentials from solving a one-dimensional Fokker-Planck … Show more

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Cited by 14 publications
(4 citation statements)
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“…[1][2][3] Two-dimensional (2D) colloidal crystals self-assembled in external fields can act as seeds for 3D structures used in photonics [4][5][6][7][8] as well as for porous media and membranes used for photocatalysis, electrochemical energy storage and conversion, and chemical applications. [9][10][11][12][13] Although tunable interactions can be achieved in different ways (including optical, chemical, and flow-mediated mechanisms 2 ), the use of electric [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29] and magnetic 16,[30][31][32][33][34][35][36][37][38][39][40][41] fields is among the most promising due to their technological flexibility, the long-range character of the obtained interactions, and the ability to change them in situ.…”
Section: Introductionmentioning
confidence: 99%
“…[1][2][3] Two-dimensional (2D) colloidal crystals self-assembled in external fields can act as seeds for 3D structures used in photonics [4][5][6][7][8] as well as for porous media and membranes used for photocatalysis, electrochemical energy storage and conversion, and chemical applications. [9][10][11][12][13] Although tunable interactions can be achieved in different ways (including optical, chemical, and flow-mediated mechanisms 2 ), the use of electric [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29] and magnetic 16,[30][31][32][33][34][35][36][37][38][39][40][41] fields is among the most promising due to their technological flexibility, the long-range character of the obtained interactions, and the ability to change them in situ.…”
Section: Introductionmentioning
confidence: 99%
“…The easy magnetization direction in terms of magneto-crystalline anisotropy is perpendicular to that of shape anisotropy. Many materials possess a large uniaxial magneto-crystalline constant that dominates over the shape anisotropy effect, making their easy magnetization direction perpendicular to the basal plane (i.e., Co , in Figure C and D and Hexaferrites ).…”
Section: Anisotropic Magnetic Nanoparticlesmentioning
confidence: 99%
“…relating the probability distribution of a physical quantity to an effective energy landscape [47]. As shown in Fig.…”
Section: Cell-cargo Distance Displays Recurrent Dynamicsmentioning
confidence: 99%