Glassy dynamics of convex polyhedra

被引:11
|
作者
Tasios, Nikos [1 ]
Gantapara, Anjan Prasad [1 ]
Dijkstra, Marjolein [1 ]
机构
[1] Univ Utrecht, Debye Inst Nanomat Sci, NL-3584 CC Utrecht, Netherlands
来源
JOURNAL OF CHEMICAL PHYSICS | 2014年 / 141卷 / 22期
关键词
RANDOM CLOSE PACKING; SILVER NANOPARTICLES; GOLD NANOPARTICLES; COMPLEX STRUCTURES; LIQUIDS; TRANSITION; RELAXATION; SPHERES; CUBES; NANOCRYSTALS;
D O I
10.1063/1.4902992
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Self-assembly of polyhedral-shaped particles has attracted huge interest with the advent of new synthesis methods that realize these faceted particles in the lab. Recent studies have shown that polyhedral-shaped particles exhibit a rich phase behavior by excluded volume interactions alone; some of these particles are even alleged to show a transition to a glass phase by quenching the liquid sufficiently fast beyond the glass transition (supercooling), such that the formation of structures with long-range order is suppressed. Despite the recent progress, no study has been made on the glass formation of polyhedral-shaped particles. Here, we study the glass behavior of polyhedral particles using advanced Monte Carlo methods. We investigate the formation of a glass of monodisperse hard polyhedral-shaped particles, namely, octahedra, tetrahedra, and triangular cupola, using simulations. Finally, the fragility of these particles is determined and compared to that of a polydisperse hard-sphere system. (C) 2014 AIP Publishing LLC.
引用
收藏
页数:7
相关论文
共 50 条
  • [31] LIFTING PROJECTIONS OF CONVEX POLYHEDRA
    WALKUP, DW
    WETS, RJB
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 1969, 28 (02) : 465 - &
  • [32] On Hamiltonian tetrahedralizations of convex polyhedra
    Chin, Francis
    Ding, Qing-Huai
    Wang, Cao An
    [J]. Operations Research and Its Applications, 2005, 5 : 206 - 216
  • [33] Linear Wavefronts of Convex Polyhedra
    Makeev V.V.
    Makeev I.V.
    [J]. Journal of Mathematical Sciences, 2016, 212 (5) : 550 - 551
  • [34] Metrics on convex hyperbolic polyhedra
    Schlenker, JM
    [J]. JOURNAL OF DIFFERENTIAL GEOMETRY, 1998, 48 (02) : 323 - 405
  • [35] Globally and locally convex polyhedra
    Ionin, VK
    [J]. SIBERIAN MATHEMATICAL JOURNAL, 1999, 40 (03) : 473 - 477
  • [36] Rational bases for convex polyhedra
    Wachspress, E.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (06) : 1953 - 1956
  • [37] Shape grammars on convex polyhedra
    Thaller, Wolfgang
    Krispel, Ulrich
    Zmugg, Rene
    Havemann, Sven
    Fellner, Dieter W.
    [J]. COMPUTERS & GRAPHICS-UK, 2013, 37 (06): : 707 - 717
  • [38] On some characterizations of convex polyhedra
    Sergii Myroshnychenko
    [J]. Journal d'Analyse Mathématique, 2023, 149 : 239 - 249
  • [39] Steinhaus Conditions for Convex Polyhedra
    Rouyer, Joel
    [J]. CONVEXITY AND DISCRETE GEOMETRY INCLUDING GRAPH THEORY, 2016, 148 : 77 - 84
  • [40] THE ASYMPTOTIC NUMBER OF CONVEX POLYHEDRA
    RICHMOND, LB
    WORMALD, NC
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 273 (02) : 721 - 735