کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
974535 | 932989 | 2009 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Cluster growth poised on the edge of break-up, II: From reaction kinetics to thermodynamics
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The cluster size distributions of power-law form n(s)âsâÏ with small exponents 0<Ï<1 are ubiquitous in many naturally occurring growth processes, where one may expect that aggregation driven cluster growth is poised on the edge of cluster break-up. We propose here a statistical thermodynamics description of such a growth process governed by size dependent aggregation and break-up rates of form sα with 0<α<2. By using the maximum entropy method the energy levels and statistical ensemble corresponding the kinetic model are deduced and α is identified as the inverse of thermodynamic temperature, conjugated in the standard way to the total energy E of the system. In addition, the macroscopic free energy F, the entropy S and the heat capacity C are derived. The thermodynamic behavior of the system strongly suggests that at αâ1 there is a phase transition in growth.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 388, Issue 13, 1 July 2009, Pages 2659-2665
Journal: Physica A: Statistical Mechanics and its Applications - Volume 388, Issue 13, 1 July 2009, Pages 2659-2665
نویسندگان
I.T. Koponen,