scholarly journals FCC ↔ BCC Phase Transitions in Convex and Concave Hard Particle Systems

2019 ◽  
Vol 123 (42) ◽  
pp. 9038-9043 ◽  
Author(s):  
Duanduan Wan ◽  
Chrisy Xiyu Du ◽  
Greg van Anders ◽  
Sharon C. Glotzer
2010 ◽  
Vol 299 (3) ◽  
pp. 603-630 ◽  
Author(s):  
Andrea Collevecchio ◽  
Wolfgang König ◽  
Peter Mörters ◽  
Nadia Sidorova

1996 ◽  
Vol 463 ◽  
Author(s):  
Jining Han ◽  
Judith Herzfeld

ABSTRACTThe effects of soft repulsions on hard particle systems are calculated using an avoidance model which improves upon the simple mean field approximation. The method not only yields a better free energy, but also gives an estimate for the short-range positional order induced by soft repulsions. The results indicate little short-range order for isotropically oriented rods. However, for parallel rods short-range order increases to significant levels as the particle axial ratio increases.


2020 ◽  
Vol 180 (1-6) ◽  
pp. 474-533
Author(s):  
Pablo I. Hurtado ◽  
Pedro L. Garrido

2019 ◽  
Vol 116 (34) ◽  
pp. 16703-16710 ◽  
Author(s):  
Eric S. Harper ◽  
Greg van Anders ◽  
Sharon C. Glotzer

A vast array of natural phenomena can be understood through the long-established schema of chemical bonding. Conventional chemical bonds arise through local gradients resulting from the rearrangement of electrons; however, it is possible that the hallmark features of chemical bonding could arise through local gradients resulting from nonelectronic forms of mediation. If other forms of mediation give rise to “bonds” that act like conventional ones, recognizing them as bonds could open new forms of supramolecular descriptions of phenomena at the nano- and microscales. Here, we show via a minimal model that crowded hard-particle systems governed solely by entropy exhibit the hallmark features of bonding despite the absence of chemical interactions. We quantitatively characterize these features and compare them to those exhibited by chemical bonds to argue for the existence of entropic bonds. As an example of the utility of the entropic bond classification, we demonstrate the nearly equivalent tradeoff between chemical bonds and entropic bonds in the colloidal crystallization of hard hexagonal nanoplates.


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