کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
11023283 | 1701307 | 2019 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
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
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
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چکیده انگلیسی
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 â 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 ââ¥bâ¥bc in a supercooled state within an original TMCT equation, where bc 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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 514, 15 January 2019, Pages 533-548
Journal: Physica A: Statistical Mechanics and its Applications - Volume 514, 15 January 2019, Pages 533-548
نویسندگان
Michio Tokuyama, Takayuki Narumi,