کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7382604 | 1480180 | 2014 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Inverted rank distributions: Macroscopic statistics, universality classes, and critical exponents
ترجمه فارسی عنوان
توزیع رتبه معکوس: آمار مک کوکوسکوپی، طبقات جامعیت و شاخصهای بحرانی
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کلمات کلیدی
توزیع رتبه آمار مکانیک کلاسهای جهانی، نمایندگان انتقادی، توزیع معکوس پارتو، توزیع هندسی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
چکیده انگلیسی
An inverted rank distribution is an infinite sequence of positive sizes ordered in a monotone increasing fashion. Interlacing together Lorenzian and oligarchic asymptotic analyses, we establish a macroscopic classification of inverted rank distributions into five “socioeconomic” universality classes: communism, socialism, criticality, feudalism, and absolute monarchy. We further establish that: (i)Â communism and socialism are analogous to a “disordered phase”, feudalism and absolute monarchy are analogous to an “ordered phase”, and criticality is the “phase transition” between order and disorder; (ii)Â the universality classes are characterized by two critical exponents, one governing the ordered phase, and the other governing the disordered phase; (iii)Â communism, criticality, and absolute monarchy are characterized by sharp exponent values, and are inherently deterministic; (iv)Â socialism is characterized by a continuous exponent range, is inherently stochastic, and is universally governed by continuous power-law statistics; (v)Â feudalism is characterized by a continuous exponent range, is inherently stochastic, and is universally governed by discrete exponential statistics. The results presented in this paper yield a universal macroscopic socioeconophysical perspective of inverted rank distributions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 393, 1 January 2014, Pages 450-459
Journal: Physica A: Statistical Mechanics and its Applications - Volume 393, 1 January 2014, Pages 450-459
نویسندگان
Iddo Eliazar, Morrel H. Cohen,