Complexes containing cobalt–silicon metal–metal bonds

Archer, N. J.; Haszeldine, R. N.; Parish, R. V.

doi:10.1039/c29710000524

Cited by 46 publications

(73 citation statements)

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“…The typical bulk phase behavior of colloidal systems with competing interactions has been studied in detail in various previous studies employing Landau-type theories [1,17], density functionals [2,3,52,54], or computer simulations [4,5]. Therefore, we do provide only a compact repetition of known results so far.…”

Section: B Bulk Phase Behaviormentioning

confidence: 99%

Nonequilibrium phase transitions of sheared colloidal microphases: Results from dynamical density functional theory

Stopper

Roth

2018

Phys. Rev. E

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By means of classical density functional theory and its dynamical extension, we consider a colloidal fluid with spherically symmetric competing interactions, which are well known to exhibit a rich bulk phase behavior. This includes complex three-dimensional periodically ordered cluster phases such as lamellae, two-dimensional hexagonally packed cylinders, gyroid structures, or spherical micelles. While the bulk phase behavior has been studied extensively in earlier work, in this paper we focus on such structures confined between planar repulsive walls under shear flow. For sufficiently high shear rates, we observe that microphase separation can become fully suppressed. For lower shear rates, however, we find that, e.g., the gyroid structure undergoes a kinetic phase transition to a hexagonally packed cylindrical phase, which is found experimentally and theoretically in amphiphilic block copolymer systems. As such, besides the known similarities between the latter and colloidal systems regarding the equilibrium phase behavior, our work reveals further intriguing nonequilibrium relations between copolymer melts and colloidal fluids with competing interactions.

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Section: B Bulk Phase Behaviormentioning

confidence: 99%

Nonequilibrium phase transitions of sheared colloidal microphases: Results from dynamical density functional theory

Stopper

Roth

2018

Phys. Rev. E

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“…Note that generally the values of α 1 are not exactly at the minima ofv(k), since α 1 is the real part of the complex pole solutions to Eq. (18). In practice, α 1 lies close to the minima ofv(k) for lowest poles, with small α 0 values.…”

Section: Figs 7 and 8 Demonstrate Clearly The Efficacy Of The Asymptmentioning

confidence: 86%

“…The study by Archer et al [18], based on DFT and the Self Consistent Ornstein Zernike Approximation (SCOZA), for a model (mermaid) potential with a double Yukawa potential, attractive at short distances outside the hard core but repulsive at large distances, revealed rich crossover behaviour in the decay of h(r). In the supercritical region of the phase diagram both oscillatoryoscillatory and FW crossover were found.…”

Section: A Calculation Of G(r)mentioning

confidence: 99%

“…(26). Note also that a line in the phase diagram along which the static structure factor diverges for k = 0 is sometimes referred to as the lambda line, particularly in the context of ionic liquids [18,[59][60][61][62].…”

Section: Stability Of the Uniform Fluid And Quasicrystal Formationmentioning

confidence: 99%

“…The study in Ref. [18] examined in detail the various different contributions to the decay of g(r) for a model system with a hard core and competing attractive and repulsive Yukawa interactions. It was shown that this model exhibits oscillatory-oscillatory crossover in its supercritical region.…”

Section: Introductionmentioning

confidence: 99%

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Structural crossover in a model fluid exhibiting two length scales: Repercussions for quasicrystal formation

Walters¹,

Subramanian²,

Archer³

et al. 2018

Phys. Rev. E

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We investigate the liquid state structure of the two-dimensional model introduced by Barkan et al. [Phys. Rev. Lett. 113, 098304 (2014)10.1103/PhysRevLett.113.098304], which exhibits quasicrystalline and other unusual solid phases, focusing on the radial distribution function g(r) and its asymptotic decay r→∞. For this particular model system, we find that as the density is increased there is a structural crossover from damped oscillatory asymptotic decay with one wavelength to damped oscillatory asymptotic decay with another distinct wavelength. The ratio of these wavelengths is ≈1.932. Following the locus in the phase diagram of this structural crossover leads directly to the region where quasicrystals are found. We argue that identifying and following such a crossover line in the phase diagram towards higher densities where the solid phase(s) occur is a good strategy for finding quasicrystals in a wide variety of systems. We also show how the pole analysis of the asymptotic decay of equilibrium fluid correlations is intimately connected with the nonequilibrium growth or decay of small-amplitude density fluctuations in a bulk fluid.

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