Theory of pattern formation of metallic microparticles in poorly conducting liquids

被引：17
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
来源：
PHYSICAL REVIEW LETTERS | 2004年 / 92卷 / 23期
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
收藏
页码：234301 / 1
页数：4
相关论文
共 14 条
  • [1] Phase separation and coarsening in electrostatically driven granular media
    Aranson, IS
    Meerson, B
    Sasorov, PV
    Vinokur, VM
    [J]. PHYSICAL REVIEW LETTERS, 2002, 88 (20) : 2043011 - 2043014
  • [2] Electrostatically driven granular media: Phase transitions and coarsening
    Aranson, IS
    Blair, D
    Kalatsky, VA
    Crabtree, GW
    Kowk, WK
    Vinokur, VM
    Welp, U
    [J]. PHYSICAL REVIEW LETTERS, 2000, 84 (15) : 3306 - 3309
  • [3] *EPAPS, EPRLTAO92032422 EPAP
  • [4] Electrophoretic assembly of colloidal crystals with optically tunable micropatterns
    Hayward, RC
    Saville, DA
    Aksay, IA
    [J]. 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
    Sapozhnikov, MV
    Tolmachev, YV
    Aranson, IS
    Kwok, WK
    [J]. PHYSICAL REVIEW LETTERS, 2003, 90 (11) : 4
  • [10] Electrohydrodynamics: The Taylor-Melcher leaky dielectric model
    Saville, DA
    [J]. ANNUAL REVIEW OF FLUID MECHANICS, 1997, 29 : 27 - 64
12