کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
977413 | 1480197 | 2006 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Growth-collapse and decay-surge evolutions, and geometric Langevin equations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A statistical exploration of these growth-collapse and decay-surge systems is conducted, with a focus on two special classes of systems: scale-free systems and generalized power-law systems. For stationary scale-free systems we explicitly compute the distribution of the pre-discontinuity, post-discontinuity, and equilibrium levels. Generalized power-law systems are proved to display three possible qualitative types of behavior: (i) super-critical-in which the system eventually explodes/freezes; (ii) critical-in which the system's underlying dynamical structure is that of a geometric random walk; and, (iii) sub-critical-in which the system reaches statistical equilibrium.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 367, 15 July 2006, Pages 106-128
Journal: Physica A: Statistical Mechanics and its Applications - Volume 367, 15 July 2006, Pages 106-128
نویسندگان
Iddo Eliazar, Joseph Klafter,