Icosahedral packing of polymer-tethered nanospheres and stabilization of the gyroid phase

Iacovella, Christopher R.; Keys, Aaron S.; Horsch, Mark A.; Glotzer, Sharon C.

doi:10.1103/physreve.75.040801

Cited by 86 publications

(150 citation statements)

References 31 publications

Supporting

Mentioning

138

Contrasting

Order By: Relevance

“…We find that the gyroid phase does not consistently form as it instead does for Hertzian dumbbells. The metastability of the gyroid phase was discussed in detail for systems of Block Copolymers in [45] and for polymer tethered nanospheres in [43]. A more specific study of this particular issue is out of the scope of our paper.…”

Section: Introductionmentioning

confidence: 99%

“…Our results show that the formation of most of the phases can be rationalized in terms of the effective geometry of the components and are not very sensitive to the specific choice of the potential. Some of the phases that we can easily obtain with soft nanoparticles, namely the gyroid, double gyroid and perforated lamellar phases, are also observed in block copolymers and have been very recently the subject of intense investigation [43][44][45]. Nevertheless, bounded potential also give us access to multiple crystalline phases with pressure dependent symmetry, effectively providing for an almost unlimited variety of structures.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Packing of Soft Asymmetric Dumbbells

2010

View full text Add to dashboard Cite

We use numerical simulations to study the phase behavior of a system of purely repulsive soft dumbbells as a function of size ratio of the two components and their relative degree of deformability. We find a plethora of different phases which includes most of the mesophases observed in self-assembly of block copolymers, but also crystalline structures formed by asymmetric, hard binary mixtures. Our results detail the phenomenological behavior of these systems when softness is introduced in terms of two different classes of inter-particle interactions: (a) the elastic Hertz potential, that has a finite energy cost for complete overlap of any two components, and (b) a generic power-law repulsion with tunable exponent. We discuss how simple geometric arguments can be used to account for the large structural variety observed in these systems, and detail the similarities and differences in the phase behavior for the two classes of potentials under consideration.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Packing of Soft Asymmetric Dumbbells

2010

View full text Add to dashboard Cite

show abstract

“…This includes the Adam-Gibbs derivation of the structural relaxation [7,8] built on the thermodynamic notion of the configurational entropy [9] -, the mode-coupling theory [10] and extensions [11], the random first-order transition theory (RFOT) [12], the frustrationbased approach [13], as well as the so-called elastic models [14,15]. The search of a link between structural ordering and slow dynamics motivated several studies in liquids [16][17][18][19], colloids [20][21][22] and polymeric systems [20,[23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Cage rattling does not correlate with the local geometry in molecular liquids

Bernini

Puosi

Leporini

2015

Journal of Non-Crystalline Solids

View full text Add to dashboard Cite

Molecular-dynamics simulations of a liquid of short linear molecules have been performed to investigate the correlation between the particle dynamics in the cage of the neighbors and the local geometry. The latter is characterized in terms of the size and the asphericity of the Voronoi polyhedra. The correlation is found to be poor. In particular, in spite of the different Voronoi volume around the end and the inner monomers of a molecule, all the monomers exhibit coinciding displacement distribution when they are caged (as well as at longer times during the structural relaxation). It is concluded that the fast dynamics during the cage trapping is a non-local collective process involving monomers beyond the nearest neighbours.PACS numbers:

show abstract

“…2 Bond orientation analysis has become the most commonly used tool for the identification of different crystalline phases and clusters, notably fcc, hcp, and bcc, [3][4][5][6][7][8][9] or icosahedral nuclei. [10][11][12] They are also used to study melting transitions 10,13,14 and interfaces in colloidal fluids and crystals. 15 For the study of glasses and super-cooled fluids, q 6 and Q 6 have become the most prominent order parameters when searching for glass transitions [16][17][18][19] and crystalline clusters.…”

mentioning

confidence: 99%

Shortcomings of the bond orientational order parameters for the analysis of disordered particulate matter

Mickel¹,

Kapfer²,

Schröder‐Turk³

et al. 2013

The Journal of Chemical Physics

255

236

View full text Add to dashboard Cite

Local structure characterization with the bond-orientational order parameters q 4 , q 6 ,. . . introduced by Steinhardt et al. has become a standard tool in condensed matter physics, with applications including glass, jamming, melting or crystallization transitions and cluster formation. Here we discuss two fundamental flaws in the definition of these parameters that significantly affect their interpretation for studies of disordered systems, and offer a remedy. First, the definition of the bond-orientational order parameters considers the geometrical arrangement of a set of neighboring spheres NN(p) around a given central particle p; we show that procedure to select the spheres constituting the neighborhood NN(p) can have greater influence on both the numerical values and qualitative trend of q l than a change of the physical parameters, such as packing fraction. Second, the discrete nature of neighborhood implies that NN(p) is not a continuous function of the particle coordinates; this discontinuity, inherited by q l , leads to a lack of robustness of the q l as structure metrics. Both issues can be avoided by a morphometric approach leading to the robust Minkowski structure metrics q ′ l . These q ′ l are of a similar mathematical form as the conventional bond-orientational order parameters and are mathematically equivalent to the recently introduced Minkowski tensors [Europhys. Lett. 90, 34001 (2010); Phys. Rev. E. 85, 030301 (2012)].

show abstract

Icosahedral packing of polymer-tethered nanospheres and stabilization of the gyroid phase

Cited by 86 publications

References 31 publications

Packing of Soft Asymmetric Dumbbells

Packing of Soft Asymmetric Dumbbells

Cage rattling does not correlate with the local geometry in molecular liquids

Shortcomings of the bond orientational order parameters for the analysis of disordered particulate matter

Contact Info

Product

Resources

About