کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7381799 | 1480178 | 2014 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Statistical-mechanical theory of nonlinear density fluctuations near the glass transition
ترجمه فارسی عنوان
تئوری آماری - مکانیکی نوسانات چگالی غیر خطی در نزدیکی انتقال شیشه
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
چکیده انگلیسی
The Tokuyama-Mori type projection-operator method is employed to study the dynamics of nonlinear density fluctuations near the glass transition. A linear non-Markov time-convolutionless equation for the scattering function Fα(q,t) is first derived from the Newton equation with the memory function Ïα(q,t), where α=c for the coherent-intermediate scattering function and s for the self-intermediate scattering function. In order to calculate Ïα(q,t), the Mori type projection-operator method is then used and a linear non-Markov time-convolution equation for Ïα(q,t) is derived with the memory function Ïα(q,t). In order to calculate Ïα(q,t), the same binary approximation as that used in the mode-coupling theory (MCT) is also employed and hence Ïα(q,t) is shown to be identical with that obtained by MCT. Thus, the coupled equations are finally derived to calculate the scattering functions, which are quite different from the so-called ideal MCT equation. The most important difference between the present theory and MCT appears in the Debye-Waller factor fα(q). In MCT it is given by fα(q)=Îα(q)/(Îα(q)+1), where Îα(q) is the long-time limit of the memory function Ïα(q,t). On the other hand, in the present theory it is given by fα(q)=exp[â1/Îα(q)]. Thus, it is expected that the critical temperature Tc of the present theory would be much lower than that of MCT. The other differences are also discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 395, 1 February 2014, Pages 31-47
Journal: Physica A: Statistical Mechanics and its Applications - Volume 395, 1 February 2014, Pages 31-47
نویسندگان
Michio Tokuyama,