Theory of pattern formation of metallic microparticles in poorly conducting liquids

被引:18
作者
Aranson, IS
Sapozhnikov, MV
机构
[1] Argonne Natl Lab, Div Mat Sci, Argonne, IL 60439 USA
[2] Russian Acad Sci, Inst Phys Microstruct, Nizhnii Novgorod 603000, Russia
关键词
D O I
10.1103/PhysRevLett.92.234301
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We develop a continuum theory of self-assembly and pattern formation in metallic microparticles immersed in a poorly conducting liquid in a dc electric field. The theory is formulated in terms of conservation laws for the densities of immobile particles (precipitate) and bouncing particles (gas) coupled to the Navier-Stokes equation for the liquid. This theory successfully reproduced the correct topology of the phase diagram and primary patterns observed in the experiment [Sapozhnikov et al., Phys. Rev. Lett. 90, 114301 (2003)]: static crystals, honeycombs, dynamic pulsating rings, and rotating multipetal vortices.
引用
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页码:234301 / 1
页数:4
相关论文
共 14 条
[1]   Phase separation and coarsening in electrostatically driven granular media [J].
Aranson, IS ;
Meerson, B ;
Sasorov, PV ;
Vinokur, VM .
PHYSICAL REVIEW LETTERS, 2002, 88 (20) :2043011-2043014
[2]   Electrostatically driven granular media: Phase transitions and coarsening [J].
Aranson, IS ;
Blair, D ;
Kalatsky, VA ;
Crabtree, GW ;
Kowk, WK ;
Vinokur, VM ;
Welp, U .
PHYSICAL REVIEW LETTERS, 2000, 84 (15) :3306-3309
[3]  
*EPAPS, EPRLTAO92032422 EPAP
[4]   Electrophoretic assembly of colloidal crystals with optically tunable micropatterns [J].
Hayward, RC ;
Saville, DA ;
Aksay, IA .
NATURE, 2000, 404 (6773) :56-59
[5]  
Landau L. D., 1986, Hydrodynamics, V6
[6]  
Minerick AR, 2002, ELECTROPHORESIS, V23, P2165, DOI 10.1002/1522-2683(200207)23:14<2165::AID-ELPS2165>3.0.CO
[7]  
2-#
[8]  
Richardson JF., 1954, Trans. Inst. Chem. Eng, V32, P35, DOI [10.11475/sabo1973.59.5_23, DOI 10.11475/SABO1973.59.5_23, DOI 10.1016/S0263-8762(97)80006-8]
[9]   Dynamic self-assembly and patterns in electrostatically driven granular media [J].
Sapozhnikov, MV ;
Tolmachev, YV ;
Aranson, IS ;
Kwok, WK .
PHYSICAL REVIEW LETTERS, 2003, 90 (11) :4
[10]   Electrohydrodynamics: The Taylor-Melcher leaky dielectric model [J].
Saville, DA .
ANNUAL REVIEW OF FLUID MECHANICS, 1997, 29 :27-64