Linear viscoelasticity of hard sphere colloidal crystals from resonance detected with dynamic light scattering

Phan, See Eng; Li, Min; Russel, William B.; Zhu, Jixiang; Chaikin, P. M.; Lant, Chris T.

doi:10.1103/physreve.60.1988

Cited by 13 publications

(8 citation statements)

References 40 publications

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“…Using simple scaling arguments, G 0 is expected to scale as k B T /a 3 , where a = 11 nm is the radius of the micelles. We find G 0 a 3 /k B T = 3.9, a value in good agreement with experiments on colloidal hard sphere crystals, for which, e.g., G 0 a 3 /k B T = 5.8 at a colloid volume fraction of 0.55 [37].…”

Section: Discussionsupporting

confidence: 89%

Viscoelasticity of colloidal polycrystals doped with impurities

et al. 2015

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We investigate how the microstructure of a colloidal polycrystal influences its linear viscoelasticity. We use thermosensitive copolymer micelles that arrange in water in a cubic crystalline lattice, yielding a colloidal polycrystal. The polycrystal is doped with a small amount of nanoparticles, of size comparable to that of the micelles, which behave as impurities and thus partially segregate in the grain boundaries. We show that the shear elastic modulus only depends on the packing of the micelles and does not vary neither with the presence of nanoparticles nor with the crystal microstructure. By contrast, we find that the loss modulus is strongly affected by the presence of nanoparticles. A comparison between rheology data and small-angle neutron scattering data suggests that the loss modulus is dictated by the total amount of nanoparticles in the grain boundaries, which in turn depends on the sample microstructure.

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Section: Discussionsupporting

confidence: 89%

Viscoelasticity of colloidal polycrystals doped with impurities

et al. 2015

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“…The Physics of Hard Sphere Experiment (PHaSE) (for hardware details see [18][19][20]) flew aboard the Space Shuttle's Microgravity Science Laboratory twice in 1997 (STS-83 and STS-94). Eight samples can be loaded onto the test station sequentially through the rotation of a carousel.…”

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confidence: 99%

Crystallization Kinetics of Hard Spheres in Microgravity in the Coexistence Regime: Interactions between Growing Crystallites

et al. 2001

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The hard sphere disorder-order transition serves as the paradigm for crystallization. However, measurements of the crystallization kinetics for colloidal hard spheres in the coexistence regime are incomplete for early times and are affected by sedimentation. We use time resolved Bragg light scattering to characterize crystal nucleation and growth in a microgravity environment on the space shuttle. In contrast to the classical picture of the nucleation and growth of isolated crystallites, we find substantial coarsening of growing crystallites. We also observe dendritic growth and face-centered cubic as the stable structure.

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“…For an example of a similar analysis for colloidal crystals, see Ref. [21]. The next step is to determine the response of the helium inside the torsion cell to the rotation of the cell.…”

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confidence: 99%

Theory of viscoelastic behavior of solidH4e

Yoo

Dorsey

2009

Phys. Rev. B

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Over the last five years several experimental groups have reported anomalies in the temperature dependence of the period and amplitude of a torsional oscillator containing solid 4 He. We model these experiments by assuming that 4 He is a viscoelastic solid-a solid with frequency dependent internal friction. We find that while our model can provide a quantitative account of the dissipation observed in the torsional oscillator experiments, it only accounts for about 10% of the observed period shift, leaving open the possibility that the remaining period shift is due to the onset of superfluidity in the sample.PACS numbers: 67.80. -s, 67.40.-w, 46.35.+z In 2004 Kim and Chan [1,2] reported anomalies in the resonant period of a torsional oscillator (TO) containing solid 4 He. With exquisite sensitivity they detected a reproducible decrease in the oscillator period upon lowering the temperature below 200 mK. Subsequent experiments in several laboratories [3,4,5,6,7,8,9,10,11] A natural interpretation of the TO anomalies is the onset of the elusive and long-anticipated supersolid phase of matter [14,15,16]. In a supersolid, superfluidity coexists with the crystalline order of a solid; one expects a supersolid to exhibit superflow, much like a superfluid. Leggett [16] proposed that the superflow is best detected by searching for "nonclassical rotational inertia"; a superfluid condensate would remain at rest and not participate in rotation, and the resulting mass decoupling would reduce the rotational inertia and decrease the resonant period of oscillation. While compelling, the supersolid interpretation of these experiments has yet to be corroborated by other measurements, such as the response to pressure differences [17]. Moreover, Day and Beamish [18] reported a pronounced increase in the shear modulus of 4 He at temperatures below 200 mK, with a dependence on measurement amplitude and 3 He impurity concentration similar to the TO anomalies. Their results suggest that changes in the shear modulus might be intimately related to the TO anomalies.This Letter presents a detailed discussion of the mechanical response of a TO containing a viscoelastic solid. We build on earlier work by Nussinov et al. [19], who correctly identified a "back action" term in the TO equation of motion that represents the dynamical effect of the solid helium on the torsion cell. However, in contrast to Nussinov et al. we find no need to assume that the solid helium behaves as a glass. Instead, with a few carefully stated assumptions, we find that we can model the solid helium as a classical viscoelastic solid-i.e., a solid with internal friction. The TO period shift and dissipation peak are naturally related to the real and imaginary parts of the frequency-dependent shear modulus of the solid. We use our results to fit the dissipation peak reported in Clark et al. [5], and extract a temperature dependent time scale τ (T ) from the data. With all of the phenomenological parameters determined, we find that we are only able to account for ab...

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Linear viscoelasticity of hard sphere colloidal crystals from resonance detected with dynamic light scattering

Cited by 13 publications

References 40 publications

Viscoelasticity of colloidal polycrystals doped with impurities

Viscoelasticity of colloidal polycrystals doped with impurities

Crystallization Kinetics of Hard Spheres in Microgravity in the Coexistence Regime: Interactions between Growing Crystallites

Theory of viscoelastic behavior of solidH4e

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