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- W2893138647 abstract "Abstract A length cutoff b contained in the nonlinear memory function of the time-convolutionless mode-coupling theory (TMCT) equation is obtained by solving the TMCT equation in a manner consistent with the simulation results near the glass transition. A characteristic length l of a supercooled liquid is also introduced at a β -relaxation stage based on the mean-field theory proposed by Tokuyama independently and is shown to describe a displacement of a particle in a cage. Then, both lengths are shown to satisfy the inequality l ≥ b ≥ b c in a supercooled state within an original TMCT equation, where b c is a critical cutoff obtained independently by solving the Lambert W-function at the critical point. Their control parameter dependence is also explored from a unified point of view. Thus, both lengths are shown to characterize the same caging mechanism at β stage in a supercooled liquid." @default.
- W2893138647 created "2018-10-05" @default.
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- W2893138647 date "2019-01-01" @default.
- W2893138647 modified "2023-10-16" @default.
- W2893138647 title "On the relation between a length cutoff in time-convolutionless mode-coupling theory and a characteristic length at β-relaxation stage in glass-forming materials" @default.
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- W2893138647 doi "https://doi.org/10.1016/j.physa.2018.09.101" @default.
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