Fluctuating nonlinear hydrodynamics and the liquid-glass transition

Das, Shankar P.; Mazenko, Gene F.

doi:10.1103/physreva.34.2265

Cited by 357 publications

(408 citation statements)

References 42 publications

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“…These new mode-coupling kernels provide contributions to phonon-assisted transport, so that these modifications of the theory are referred to as hopping effects. The extended MCT confirms the finding of [68] concerning the elimination of the ideal transition, but it does not suffer from the shortcomings specified in the preceding paragraph. The derivation of the extended MCT was reconsidered recently [71] within a perturbation-expansion approach for correlators.…”

Section: Evolution Of Structural Relaxationsupporting

confidence: 78%

“…An extended description A derivation of approximate equations of motion for the glassy dynamics was proposed by Das and Mazenko within a diagrammatic classification of a systematic perturbation expansion for a non-linear-hydrodynamics model [68]. Closed MCT equations were obtained as results of a self-consistent-one-loop treatment for the self-energy kernels.…”

Section: Evolution Of Structural Relaxationmentioning

confidence: 99%

“…However, incorporating two-loop terms they obtained an improved theory for which they could show that there is no ideal glass transition anymore. Unfortunately, compelling conclusions for the physics of liquids cannot be drawn from [68]. The vertices in the mode-coupling kernels are treated crudely, so that unspecified cut-off wave vectors have to be introduced.…”

Section: Evolution Of Structural Relaxationmentioning

confidence: 99%

“…This excludes the possibility to evaluate critical temperatures, form factors or anomalous exponents. Moreover, it was claimed continuously [68,69] as the main result of the fluctuating-hydrodynamics theory that the spikes of the ideal-glass-state spectra φ ′′ q (ω) = πf q δ(ω) + · · · are transformed for T ≈ T c to the peaks of a diffusive type:…”

Section: Evolution Of Structural Relaxationmentioning

confidence: 99%

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The Essentials of the Mode-Coupling Theory for Glassy Dynamics

Gotze¹

1998

Condens. Matter Phys.

101

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The essential results of the mode-coupling theory for the evolution of structural relaxation in simple liquids such as the Debye-Waller-factor anomaly, the critical decay, von Schweidler's law, the α -and β -relaxation scaling, the appearance of two divergent time scales, and Kohlrausch's law for the α -process are explained, and their relevance to the understanding of experiments in glass-forming systems is described. : 64.70.Pf, 61.20.Lc In memoriam: I first met Dmitrii Nikolaevich Zubarev in 1969, when I came to Moscow to work with his team at the Steklov-Institute. Since then we met regularly. I always enjoyed discussing with him many open problems in statistical physics and I learned a lot from his unbiased and well contemplated views on various issues. I like to remember his gentleness, his warm hospitality, and the conversations with him on non-scientific matters. I dedicate this article to the memory of Dmitrii Nikolaevich with gratitude. Key words: mode-coupling theory, structural relaxation, glassy dynamics, bifurcation dynamics PACS

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Section: Evolution Of Structural Relaxationsupporting

confidence: 78%

Section: Evolution Of Structural Relaxationmentioning

confidence: 99%

Section: Evolution Of Structural Relaxationmentioning

confidence: 99%

Section: Evolution Of Structural Relaxationmentioning

confidence: 99%

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The Essentials of the Mode-Coupling Theory for Glassy Dynamics

Gotze¹

1998

Condens. Matter Phys.

101

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“…4, 4(t) always decays to zero at sufficiently long times. The complete structural arrest at w 3 0 predicted by the idealized theory is cut off by the inclusion of current terms as first noticed by Das and Mazenko [14]. As seen in figs.…”

Section: Extended Mctsupporting

confidence: 51%

Light scattering spectroscopy of the liquid-glass transition: comparison with idealized and extended mode coupling theory

Cummins¹,

Du²,

Fuchs³

et al. 1993

Physica A: Statistical Mechanics and its Applications

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Light scattering experiments were performed on several fragile glass-forming materials at temperatures ranging from above the melting temperature T, to below the calorimetric glass transition temperature T, in the frequency range 0.2 GHz to 4000 GHz. The experimental susceptibility spectra x"(o) exhibit both the form and the scaling properties predicted by the idealized mode coupling theory. In particular, the scaling frequency o, was found to obey the power law w, a 1 T -T,_jzO for three different materials, confirming the predicted "critical slowing down" as T+ Tc from either above or below. At low frequencies and temperatures the spectra deviate from the predictions due to the neglect of ergodicity-restoring activated transport (hopping) processes. We have therefore reanalyzed the data using the extended version of the theory, including activated transport.

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