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.

UR - http://www.scopus.com/inward/record.url?scp=85090071688&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85090071688&partnerID=8YFLogxK

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 -