scholarly journals Bond-Orientational Order of Two-Dimensional Colloidal Crystal

2000 ◽  
Vol 138 ◽  
pp. 386-387 ◽  
Author(s):  
Takamichi Terao ◽  
Tsuneyoshi Nakayama
Keyword(s):  
Colloidal Crystal ◽  
Orientational Order ◽  
Two Dimensional ◽  
Bond Orientational Order

Crystal to Glass Transition and Melting in Two Dimensions

1993 ◽  
Vol 321 ◽  
Author(s):  
M. Li ◽  
W. L. Johnson ◽  
W. A. Goddard
Keyword(s):  
Glass Transition ◽  
Intermediate Phase ◽  
Orientational Order ◽  
Finite Size ◽  
Two Dimensions ◽  
Size Difference ◽  
Two Dimensional ◽  
Atomic Size ◽  
Bond Orientational Order ◽  
Dynamics Simulations

ABSTRACTThermodynamic properties, structures, defects and their configurations of a two-dimensional Lennard-Jones (LJ) system are investigated close to crystal to glass transition (CGT) via molecular dynamics simulations. The CGT is achieved by saturating the LJ binary arrays below glass transition temperature with one type of the atoms which has different atomic size from that of the host atoms. It was found that for a given atomic size difference larger than a critical value, the CGT proceeds with increasing solute concentrations in three stages, each of which is characterized by distinct behaviors of translational and bond-orientational order correlation functions. An intermediate phase which has a quasi-long range orientational order but short range translational order has been found to exist prior to the formation of the amorphous phase. The destabilization of crystallinity is observed to be directly related to defects. We examine these results in the context of two dimensional (2D) melting theory. Finite size effects on these results, in particular on the intermediate phase formation, are discussed.

scholarly journals Bond-orientational order and Frank’s constant in two-dimensional colloidal hard spheres

2018 ◽  
Vol 30 (10) ◽  
pp. 104003 ◽  
Author(s):  
Alice L Thorneywork ◽  
Joshua L Abbott ◽  
Dirk G A L Aarts ◽  
Peter Keim ◽  
Roel P A Dullens
Keyword(s):  
Hard Spheres ◽  
Orientational Order ◽  
Two Dimensional ◽  
Bond Orientational Order ◽  
Colloidal Hard Spheres

Conformations of Crumpled Sheet Polymers

1992 ◽  
Vol 272 ◽  
Author(s):  
David R. Nelson
Keyword(s):  
Orientational Order ◽  
Polymer Chains ◽  
Linear Polymer ◽  
Three Dimensions ◽  
Linear Polymers ◽  
Two Dimensional ◽  
Geometric Concepts ◽  
Bond Orientational Order ◽  
Important Possibility ◽  
Planar Membranes

Flexible sheet polymers or “membranes” can be regarded as two-dimensional generalizations of linear polymer chains, for which there is a vigorous theoretical and experimental literature. Flexible membranes should exhibit even more richness and complexity, for two basic reasons. The first is that important geometric concepts like intrinsic curvature, orientability and genus, which have no direct analogue in linear polymers, appear naturally in discussions of two-dimensional macromolecules. Our understanding of the interplay between these concepts and the statistical mechanics of surfaces is still in its infancy. [1] The second reason is that surfaces can exist in a variety of different phases. The possibility of a two-dimensional shear modulus in planar membranes shows that we must distinguish between solids and liquids when these objects are allowed to crumple into three dimensions. Hexatic membranes, with extended six-fold bond orientational order, provide yet another important possibility. All three phases have quite distinctive properties. [2, 3] There are no such sharp distinctions for linear polymer chains.

scholarly journals Crystallisation in a two-dimensional granular system at constant temperature

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
M. Ledesma-Motolinía ◽  
J. L. Carrillo-Estrada ◽  
F. Donado
Keyword(s):  
Effective Temperature ◽  
Effective Diffusion ◽  
Orientational Order ◽  
Granular System ◽  
Two Dimensional ◽  
Continuous Energy ◽  
Dissipative Effects ◽  
Small Crystals ◽  
Sinusoidal Magnetic Field ◽  
Bond Orientational Order

AbstractWe study the crystallisation processes occurring in a nonvibrating two-dimensional magnetic granular system at various fixed values of the effective temperature. In this system, the energy loss due to dissipative effects is compensated by the continuous energy input coming into the system from a sinusoidal magnetic field. When this balance leads to high values of the effective temperature, no aggregates are formed, because particles’ kinetic energy prevents them from aggregating. For lower effective temperatures, formation of small aggregates is observed. The smaller the values of the applied field’s amplitude, the larger the number of these disordered aggregates. One also observes that when clusters form at a given effective temperature, the average effective diffusion coefficient decreases as time increases. For medium values of the effective temperature, formation of small crystals is observed. We find that the sixth bond-orientational order parameter and the number of bonds, when considering more than two, are very sensitive for exhibiting the order in the system, even when crystals are still very small.

Bond-orientational order in liquid aluminium80-transition metal20 alloys

1993 ◽  
Vol 3 (8) ◽  
pp. 1873-1888 ◽  
Author(s):  
M. Maret ◽  
F. Lançon ◽  
L. Billard
Keyword(s):  
Orientational Order ◽  
Bond Orientational Order

Translational and bond-orientational order in the vortex lattice of the high-TcsuperconductorBi2.1Sr1.9Ca0.9Cu2O8+δ

1991 ◽  
Vol 66 (17) ◽  
pp. 2270-2273 ◽  
Author(s):  
D. G. Grier ◽  
C. A. Murray ◽  
C. A. Bolle ◽  
P. L. Gammel ◽  
D. J. Bishop ◽  
...  
Keyword(s):  
Vortex Lattice ◽  
Orientational Order ◽  
Bond Orientational Order
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