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
收藏
页码:327 / +
页数:2
相关论文
共 50 条
  • [21] Zipf's Law in a Random Text from English With a New Ranking Method
    Saxena, Anurag
    Jauhari, Monika
    Gupta, B. M.
    DESIDOC JOURNAL OF LIBRARY & INFORMATION TECHNOLOGY, 2007, 27 (04): : 51 - 58
  • [22] Zipf's law for all the natural cities in the United States: a geospatial perspective
    Jiang, Bin
    Jia, Tao
    INTERNATIONAL JOURNAL OF GEOGRAPHICAL INFORMATION SCIENCE, 2011, 25 (08) : 1269 - 1281
  • [23] Three-speed ballistic annihilation: phase transition and universality
    John Haslegrave
    Vladas Sidoravicius
    Laurent Tournier
    Selecta Mathematica, 2021, 27
  • [24] Three-speed ballistic annihilation: phase transition and universality
    Haslegrave, John
    Sidoravicius, Vladas
    Tournier, Laurent
    SELECTA MATHEMATICA-NEW SERIES, 2021, 27 (05):
  • [25] The nuclear fragmentation phase transition and rare isotope production
    Bauer, W
    Pratt, S
    Morling, C
    Underhill, P
    ACTA PHYSICA HUNGARICA NEW SERIES-HEAVY ION PHYSICS, 2001, 14 (1-4): : 33 - 42
  • [26] Nonequilibrium phase transition in a model of diffusion, aggregation, and fragmentation
    Majumdar, SN
    Krishnamurthy, S
    Barma, M
    JOURNAL OF STATISTICAL PHYSICS, 2000, 99 (1-2) : 1 - 29
  • [27] Nonequilibrium Phase Transition in a Model of Diffusion, Aggregation, and Fragmentation
    Satya N. Majumdar
    Supriya Krishnamurthy
    Mustansir Barma
    Journal of Statistical Physics, 2000, 99 : 1 - 29
  • [28] Zipf's law and city size distribution: A survey of the literature and future research agenda
    Arshad, Sidra
    Hu, Shougeng
    Ashraf, Badar Nadeem
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 492 : 75 - 92
  • [29] Critical Behavior and Universality Classes for an Algorithmic Phase Transition in Sparse Reconstruction
    Ramezanali, Mohammad
    Mitra, Partha P.
    Sengupta, Anirvan M.
    JOURNAL OF STATISTICAL PHYSICS, 2019, 175 (3-4) : 764 - 788
  • [30] Phase transition and universality of the majority-rule model on complex networks
    Mulya, Didi Ahmad
    Muslim, Roni
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2024, 35 (10):