Phase ordering of hard needles on a quasicrystalline substrate

Kählitz, Philipp; Stark, Holger

doi:10.1063/1.4711086

Cited by 9 publications

(9 citation statements)

References 58 publications

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“…This is not a surprise while the percolation of the system is reached for relatively low densities for which the insertion of a new needle to the system does not need attempts. The differences between our results for jamming threshold and the findings of Tarasevitch et al [27] is more pronounced for longer and strongly oriented needles. The ratio of both thresholds c p /c j is widely used as a parameter that describes the structure of adsorbed objects.…”

Section: Resultscontrasting

confidence: 99%

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Percolation in Systems Containing Ordered Elongated Objects

Romiszowski

Sikorski²

2013

CMST

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We studied the percolation and jamming of elongated objects using the Random Sequential Adsorption (RSA) technique. The objects were represented by linear sequences of beads forming needles. The positions of the beads were restricted to vertices of two-dimensional square lattice. The external field that imposed ordering of the objects was introduced into the model. The percolation and the jamming thresholds were determined for all systems under consideration. The influence of the chain length and the ordering on both thresholds was calculated and discussed. It was shown that for a strongly ordered system containing needles the ratio of percolation and jamming thresholds cp/cj is almost independent on the needle length d.

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Section: Resultscontrasting

confidence: 99%

“…The phase diagrams presenting the nematic ordering for short and long needles are presented. The structure of the systems containing needles in the external field was recently studied by Tarasevitch et al [27,28]. They introduced a new simulation method -the Random Relaxation Sequential Adsorption (RRSA).…”

Section: Introductionmentioning

confidence: 99%

Percolation in Systems Containing Ordered Elongated Objects

Romiszowski

Sikorski²

2013

CMST

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“…Our advances are not only made possible by the use of specialized Monte Carlo simulations on large systems but also by the definition of appropriate order parameters and correlation functions. Our analysis thence extends investigations of two-dimensional systems of hard needles, 24,55,56 hard spherocylinders, 22,28 and spherocylinders with a polar head. 57 These improved numerical results on two-dimensional liquid crystal formation are also compared to predictions from Onsager theory.…”

Section: Introductionmentioning

confidence: 79%

“…A common starting point for studying this relation is hard-core models, which recapitulate the static and dynamical properties of a wide range of phenomena, from the hard-sphere-like freezing of atomic liquids 20 to quasicrystal formation. 21 These models also reproduce the rich two-dimensional liquid crystal ordering of objects with high aspect ratios such as rods, [22][23][24] rectangles, 25,26 spherocylinders, 27,28 and ellipsoids. 29,30 The good agreement between hard-core models and some experiments suggests that entropy alone can suffice to drive the formation of ordered structures.…”

Section: Introductionmentioning

confidence: 99%

Phase ordering of zig-zag and bow-shaped hard needles in two dimensions

Tavarone

Stark

2015

The Journal of Chemical Physics

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We perform extensive Monte Carlo simulations of a two-dimensional bent hard-needle model in both its chiral zig-zag and its achiral bow-shape configurations and present their phase diagrams. We find evidence for a variety of stable phases: isotropic, quasi-nematic, smectic-C, anti-ferromorphic smectic-A, and modulated-nematic. This last phase consists of layers formed by supramolecular arches. They create a modulation of the molecular polarity whose period is sensitively controlled by molecular geometry. We identify transition densities using correlation functions together with appropriately defined order parameters and compare them with predictions from Onsager theory. The contribution of the molecular excluded area to deviations from Onsager theory and simple liquid crystal phase morphology is discussed. We demonstrate the isotropic-quasi-nematic transition to be consistent with a Kosterlitz-Thouless disclination unbinding scenario. C 2015 AIP Publishing LLC. [http://dx

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“…This leads to even more complex patterns as demonstrated in Monte Carlo studies in refs. [26,27] as well as experimentally in ref. [14].…”

Section: Introductionmentioning

confidence: 92%

Effective substrate potentials with quasicrystalline symmetry depend on the size of the adsorbed particles

et al. 2015

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Abstract. We explore the effective potential landscapes that extended particles experience when adsorbed on the surface of quasicrystals. Commonly, these are solids with long-ranged order but no translational symmetry. The effective potentials significantly depend on the size of the adsorbed particles. We show how changing the particle radius changes the so-called local isomorphism class of the effective quasicrystalline pattern. This means effective potentials for different particle sizes cannot directly be mapped onto each other. Our theoretical predictions are confirmed by Monte Carlo simulations. The results are important for colloidal particles with different sizes that are subjected to laser fields with quasicrystalline symmetry as well as for systems where extended molecules are deposited onto the surface of metallic quasicrystals.

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Phase ordering of hard needles on a quasicrystalline substrate

Cited by 9 publications

References 58 publications

Percolation in Systems Containing Ordered Elongated Objects

Percolation in Systems Containing Ordered Elongated Objects

Phase ordering of zig-zag and bow-shaped hard needles in two dimensions

Effective substrate potentials with quasicrystalline symmetry depend on the size of the adsorbed particles

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