Fluctuating Phases and Fluctuating Relaxation Times in Glass Forming Liquids

Mavimbela, Gcina A.; Parsaeian, Azita; Castillo, Horacio E.

doi:10.48550/arxiv.1210.1249

Cited by 2 publications

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“…( 5) and g local = A exp (−|x|) in Eq. ( 4) [34]. In this work, for simplicity, we impose the condition g global (x) = g local (x) = g(x).…”

Section: Time Reparametrization Invariance and Fluctuationsmentioning

confidence: 99%

“…In this work, we test the predictions of a theoretical framework that aims to describe the slow part of the fluctuations in the relaxation dynamics [20][21][22][23][24]. This framework is based on the hypothesis that in glassy systems the long time dynamics is invariant under reparametrizations of the time variable [20][21][22][23][24][25][26][27][28], but this invariance is broken, giving rise to Goldstone modes that manifest themselves with the emerge of heterogeneous dynamics [20][21][22][23][24][29][30][31][32][33][34]. The Goldstone modes correspond to fluctuations in the time reparametrization t → φ r (t), i.e.…”

Section: Introductionmentioning

confidence: 99%

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Fluctuations in the time variable and dynamical heterogeneity in glass-forming systems

2013

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We test a hypothesis for the origin of dynamical heterogeneity in slowly relaxing systems, namely that it emerges from soft (Goldstone) modes associated with a broken continuous symmetry under time reparametrizations. We do this by constructing coarse grained observables and decomposing the fluctuations of these observables into transverse components, which are associated with the postulated time-fluctuation soft modes, and a longitudinal component, which represents the rest of the fluctuations. Our test is performed on data obtained in simulations of four models of structural glasses. As the hypothesis predicts, we find that the time reparametrization fluctuations become increasingly dominant as temperature is lowered and timescales are increased. More specifically, the ratio between the strengths of the transverse fluctuations and the longitudinal fluctuations grows as a function of the dynamical susceptibility, χ4, which represents the strength of the dynamical heterogeneity; and the correlation volumes for the transverse fluctuations are approximately proportional to those for the dynamical heterogeneity, while the correlation volumes for the longitudinal fluctuations remain small and approximately constant.

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“…( 5) and g local = A exp (−|x|) in Eq. ( 4) [34]. In this work, for simplicity, we impose the condition g global (x) = g local (x) = g(x).…”

Section: Time Reparametrization Invariance and Fluctuationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fluctuations in the time variable and dynamical heterogeneity in glass-forming systems

2013

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“…Predictions for the scaling of P (f s,r ) with respect to t w follow from a theoretical framework for the aging dynamics that explains dynamical heterogeneities in terms of the presence of Goldstone modes associated with a broken continuous symmetry under time reparametrizations [9][10][11][26][27][28][29][30][31][32]. To study the dynamical heterogeneity, i.e.…”

Section: Introductionmentioning

confidence: 99%

Universal scaling in the aging of the strong glass former SiO2

Vollmayr-Lee

Gorman

Castillo

2016

The Journal of Chemical Physics

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We show that the aging dynamics of a strong glass former displays a strikingly simple scaling behavior, connecting the average dynamics with its fluctuations, namely, the dynamical heterogeneities. We perform molecular dynamics simulations of SiO2 with van Beest-Kramer-van Santen interactions, quenching the system from high to low temperature, and study the evolution of the system as a function of the waiting time tw measured from the instant of the quench. We find that both the aging behavior of the dynamic susceptibility χ4 and the aging behavior of the probability distribution P(fs,r) of the local incoherent intermediate scattering function fs,r can be described by simple scaling forms in terms of the global incoherent intermediate scattering function C. The scaling forms are the same that have been found to describe the aging of several fragile glass formers and that, in the case of P(fs,r), have been also predicted theoretically. A thorough study of the length scales involved highlights the importance of intermediate length scales. We also analyze directly the scaling dependence on particle type and on wavevector q and find that both the average and the fluctuations of the slow aging dynamics are controlled by a unique aging clock, which is not only independent of the wavevector q, but is also the same for O and Si atoms.

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Fluctuating Phases and Fluctuating Relaxation Times in Glass Forming Liquids

Cited by 2 publications

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Fluctuations in the time variable and dynamical heterogeneity in glass-forming systems

Fluctuations in the time variable and dynamical heterogeneity in glass-forming systems

Universal scaling in the aging of the strong glass former SiO2

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