TY - JOUR
T1 - Dynamics of self assembly of magnetized disks rotating at the liquid-air interface
AU - Grzybowski, Bartosz A.
AU - Stone, Howard A.
AU - Whitesides, George M.
PY - 2002/4/2
Y1 - 2002/4/2
N2 - This paper is a theoretical study of dynamic self assembly in a system of millimeter-sized magnetized disks floating at a liquid-air interface and spinning under the influence of a rotating magnetic field. Equations of motions are derived that account for the hydrodynamic and magnetic forces acting in the system. Numerical integration of these equations predicts formation of ordered structures of spinning disks; the simulated structures reproduce the patterns observed experimentally.
AB - This paper is a theoretical study of dynamic self assembly in a system of millimeter-sized magnetized disks floating at a liquid-air interface and spinning under the influence of a rotating magnetic field. Equations of motions are derived that account for the hydrodynamic and magnetic forces acting in the system. Numerical integration of these equations predicts formation of ordered structures of spinning disks; the simulated structures reproduce the patterns observed experimentally.
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U2 - 10.1073/pnas.062036699
DO - 10.1073/pnas.062036699
M3 - Article
C2 - 11929990
AN - SCOPUS:0037007111
SN - 0027-8424
VL - 99
SP - 4147
EP - 4151
JO - Proceedings of the National Academy of Sciences of the United States of America
JF - Proceedings of the National Academy of Sciences of the United States of America
IS - 7
ER -