TY - JOUR
T1 - Topological defects of dipole patchy particles on a spherical surface
AU - Lieu, Uyen Tu
AU - Yoshinaga, Natsuhiko
N1 - Funding Information:
The authors are grateful to Dr Toru Kajigaya for his helpful discussions. The authors acknowledge the support from JSPS KAKENHI Grant number JP20K14437 to U. T. L., and JP20K03874 and JP20H05259 to N. Y.
PY - 2020/9/7
Y1 - 2020/9/7
N2 - We investigate the assembly of dipole-like patchy particles confined to a spherical surface by Brownian dynamics simulations. The surface property of the spherical particle is described by the spherical harmonic Y10, and the orientation of the particle is defined as the uniaxial axis. On a flat space, we observe a defect-free square lattice with nematic order. On a spherical surface, defects appear due to the topological constraint. As for the director field, four defects of winding number +1/2 are observed, satisfying the Euler characteristic. We have found many configurations of the four defects lying near a great circle. Regarding the positional order for the square lattice, eight grain boundary scars proliferate linearly with the sphere size. The positions and orientations of the eight grain boundary scars are strongly related to the four +1/2 defect cores.
AB - We investigate the assembly of dipole-like patchy particles confined to a spherical surface by Brownian dynamics simulations. The surface property of the spherical particle is described by the spherical harmonic Y10, and the orientation of the particle is defined as the uniaxial axis. On a flat space, we observe a defect-free square lattice with nematic order. On a spherical surface, defects appear due to the topological constraint. As for the director field, four defects of winding number +1/2 are observed, satisfying the Euler characteristic. We have found many configurations of the four defects lying near a great circle. Regarding the positional order for the square lattice, eight grain boundary scars proliferate linearly with the sphere size. The positions and orientations of the eight grain boundary scars are strongly related to the four +1/2 defect cores.
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U2 - 10.1039/d0sm00103a
DO - 10.1039/d0sm00103a
M3 - Article
C2 - 32804175
AN - SCOPUS:85090071688
VL - 16
SP - 7667
EP - 7675
JO - Soft Matter
JF - Soft Matter
SN - 1744-683X
IS - 33
ER -