Zipf's law and the universality class of the fragmentation phase transition

被引：0

作者：

Bauer, Wolfgang ^{[1
]}

Pratt, Scott ^{[1
,2
]}

Allernan, Brandon ^{[3
]}

机构：

[1] Michigan State Univ, Dept Phys & Astron, E Lansing, MI 48824 USA

[2] Michigan State Univ, Natl Supercond Cyclotron Lab, E Lansing, MI 48824 USA

[3] Hope Coll, Holland, MI 49423 USA

来源：

VI LATIN AMERICAN SYMPOSIUM ON NUCLEAR PHYSICS AND APPLICATIONS | 2007年 / 884卷

基金：

美国国家科学基金会;

关键词：

fragmentation; phase transition; universality class; critical exponent; power law;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that Zipf's Law for the largest clusters is not valid in an exact sense at the critical point of the fragmentation phase transition, contrary to previous claims. Instead, the extracted distributions of the largest clusters reflects the choice of universality class through the value of the critical exponent tau.

引用

页码：327 / +

页数：2

共 50 条

[1] Zipf's law from a communicative phase transition
R. Ferrer i Cancho
The European Physical Journal B - Condensed Matter and Complex Systems, 2005, 47 : 449 - 457
[2] UNIVERSALITY CLASS OF THE FRAGMENTATION OF PLASTIC MATERIALS
Kun, F.
Timar, G.
Bloemer, J.
Herrmann, H. J.
PARTICLE-BASED METHODS II: FUNDAMENTALS AND APPLICATIONS, 2011, : 130 - 138
[3] Snooker Statistics and Zipf's Law
Hordijk, Wim
STATS, 2022, 5 (04): : 985 - 992
[4] Some Properties of Zipf's Law and Applications
Bolea, Speranta Cecilia
Pirnau, Mironela
Bejinariu, Silviu-Ioan
Apopei, Vasile
Gifu, Daniela
Teodorescu, Horia-Nicolai
AXIOMS, 2024, 13 (03)
[5] The end of a paradigm: is Zipf's law universal?
Benguigui, L.
Blumenfeld-Lieberthal, E.
JOURNAL OF GEOGRAPHICAL SYSTEMS, 2011, 13 (01) : 87 - 100
[6] Kinematics and dynamics of Pareto-Zipf's law and Gibrat's law
Aoyama, H
Fujiwara, Y
Souma, W
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 344 (1-2) : 117 - 121
[7] Zipf's law distributions in Korean financial markets
Choi, JS
Kim, K
Yoon, SM
Chang, KH
Lee, CC
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2005, 47 (01) : 171 - 173
[8] Zipf's law applications in patent landscape analysis
Adel, Michael E.
WORLD PATENT INFORMATION, 2021, 64
[9] UNIVERSALITY CLASS OF MAGNETIC PHASE-TRANSITION IN THE TRIANGULAR LATTICE ANTIFERROMAGNET CSMNI3
KADOWAKI, H
INAMI, T
AJIRO, Y
NAKAJIMA, K
ENDOH, Y
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1991, 60 (05) : 1708 - 1720
[10] Anderson Transition in the Three Dimensional Symplectic Universality Class
Asada, Yoichi
Slevin, Keith
Ohtsuki, Tomi
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2005, 74

← 1 2 3 4 5 →