Nonstandard scaling law of fluctuations in finite-size systems of globally coupled oscillators

被引：1

作者：

Nishikawa, Isao ^{[1
]}

Tanaka, Gouhei ^{[1
,2
,3
]}

Aihara, Kazuyuki ^{[1
,2
,3
]}

机构：

[1] Univ Tokyo, Inst Ind Sci, Tokyo 1538505, Japan

[2] Univ Tokyo, Grad Sch Engn, Tokyo 1138656, Japan

[3] Univ Tokyo, Grad Sch Informat Sci & Technol, Bunkyo Ku, Tokyo 1138656, Japan

来源：

PHYSICAL REVIEW E | 2013年 / 88卷 / 02期

基金：

日本学术振兴会;

关键词：

PHASE-TRANSITION; SYNCHRONIZATION; ENTRAINMENT; POPULATIONS; KURAMOTO; ONSET; MODEL;

D O I：

10.1103/PhysRevE.88.024102

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Universal scaling laws form one of the central issues in physics. A nonstandard scaling law or a breakdown of a standard scaling law, on the other hand, can often lead to the finding of a new universality class in physical systems. Recently, we found that a statistical quantity related to fluctuations follows a nonstandard scaling law with respect to the system size in a synchronized state of globally coupled nonidentical phase oscillators [I. Nishikawa et al., Chaos 22, 013133 (2012)]. However, it is still unclear how widely this nonstandard scaling law is observed. In the present paper, we discuss the conditions required for the unusual scaling law in globally coupled oscillator systems and validate the conditions by numerical simulations of several different models.

引用

页数：5

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