Time-convolutionless mode-coupling theory near the Glass transition--A recursion formula and its asymptotic solutions

DOI10.1016/j.physa.2015.02.088zbMath1400.82280OpenAlexW2049198334MaRDI QIDQ1618445

Michio Tokuyama

Publication date: 13 November 2018

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

Full work available at URL: https://doi.org/10.1016/j.physa.2015.02.088

zbMATH Keywords

critical temperaturedensity fluctuationsrecursion formulamode-coupling theoryGlass transitiontime-convolutionless projection-operator method

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Statistical mechanics of liquids (82D15)

Related Items (6)

Phenomenological theory of a renormalized simplified model based on time-convolutionless mode-coupling theory near the glass transition ⋮ Reformulation of time-convolutionless mode-coupling theory near the glass transition ⋮ 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

• Statistical-mechanical theory of nonlinear density fluctuations near the glass transition
• Statistical-Mechanical Theory of Random Frequency Modulations and Generalized Brownian Motions
• Transport, Collective Motion, and Brownian Motion
• Theory of Slow Neutron Scattering by Liquids. I
• Complex Dynamics of Glass-Forming Liquids
• Generalized Cumulant Expansion Method

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