Fluctuations in finite critical and turbulent systems

被引：48

作者：

Aji, V ^{[1
]}

Goldenfeld, N ^{[1
]}

机构：

[1] Univ Illinois, Dept Phys, Urbana, IL 61801 USA

来源：

PHYSICAL REVIEW LETTERS | 2001年 / 86卷 / 06期

关键词：

D O I：

10.1103/PhysRevLett.86.1007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that hyperscaling and finite-size scaling imply that the probability distribution of the order parameter in finite-size critical systems exhibit data collapse. We consider the examples of equilibrium critical systems, and a statistical model of ecology. We propose an explanation for recent observations that the probability distribution of turbulent power fluctuations in closed Rows is the same as that of the harmonic 2DXY model.

引用

收藏

页码：1007 / 1010

页数：4

相关论文

共 21 条

[1] Magnetic fluctuations in a finite two-dimensional XY model [J].

Archambault, P ;

Bramwell, ST ;

Holdsworth, PCW .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1997, 30 (24) :8363-8378

[2] Large scale correlations for energy injection mechanisms in swirling turbulent flows [J].

Aumaître, S ;

Fauve, S ;

Pinton, JF .

EUROPEAN PHYSICAL JOURNAL B, 2000, 16 (03) :563-567

[3] SELF-ORGANIZED CRITICALITY - AN EXPLANATION OF 1/F NOISE [J].

BAK, P ;

TANG, C ;

WIESENFELD, K .

PHYSICAL REVIEW LETTERS, 1987, 59 (04) :381-384

[4] Finite size scaling in ecology [J].

Banavar, JR ;

Green, JL ;

Harte, J ;

Maritan, A .

PHYSICAL REVIEW LETTERS, 1999, 83 (20) :4212-4214

[5]

BINDER K, 1992, COMPUTATIONAL METHOD

[6]

BOTET R, UNPUB

[7]

BRAMWELL S, CONDMAT0008093

[8] Universality of rare fluctuations in turbulence and critical phenomena [J].

Bramwell, ST ;

Holdsworth, PCW ;

Pinton, JF .

NATURE, 1998, 396 (6711) :552-554

[9] Universal fluctuations in correlated systems [J].

Bramwell, ST ;

Christensen, K ;

Fortin, JY ;

Holdsworth, PCW ;

Jensen, HJ ;

Lise, S ;

López, JM ;

Nicodemi, M ;

Pinton, JF ;

Sellitto, M .

PHYSICAL REVIEW LETTERS, 2000, 84 (17) :3744-3747

[10] A ''tetris-like'' model for the compaction of dry granular media [J].

Caglioti, E ;

Loreto, V ;

Herrmann, HJ ;

Nicodemi, M .

PHYSICAL REVIEW LETTERS, 1997, 79 (08) :1575-1578