Reformulation of time-convolutionless mode-coupling theory near the glass transition

DOI10.1016/J.PHYSA.2017.04.107zbMath1499.74029OpenAlexW2615088618MaRDI QIDQ2147762

Michio Tokuyama

Publication date: 20 June 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2017.04.107

zbMATH Keywords

glass transitionnon-Gaussian parameterergodic to non-ergodic transitionnonlinear density fluctuationtime-convolutionless mode-coupling theory

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Nonlinear constitutive equations for materials with memory (74D10)

Related Items (4)

A crucial role of long-range hydrodynamic interactions near the colloidal glass transition based on time-convolutionless mode-coupling theory ⋮ On the relation between a length cutoff in time-convolutionless mode-coupling theory and a characteristic length at \(\beta\)-relaxation stage in glass-forming materials ⋮ Slow dynamics in glass-forming materials at \(\alpha\)- and \(\beta\)-relaxation stages based on time-convolutionless mode-coupling theory ⋮ Statistical-mechanical derivation of transport equations for glass-forming ionic liquids under a weak electric field based on time-convolutionless mode-coupling theory

Cites Work

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• Universal effects of collective interactions on long-time self-diffusion coefficients in hard-sphere systems
• Time-convolutionless mode-coupling theory near the Glass transition--A recursion formula and its asymptotic solutions
• Phenomenological theory of a renormalized simplified model based on time-convolutionless mode-coupling theory near the glass transition
• Statistical-Mechanical Theory of Random Frequency Modulations and Generalized Brownian Motions
• Analysis of Classical Statistical Mechanics by Means of Collective Coordinates
• Transport, Collective Motion, and Brownian Motion
• Complex Dynamics of Glass-Forming Liquids
• Generalized Cumulant Expansion Method

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