AVALANCHES AND 1/F NOISE IN EVOLUTION AND GROWTH-MODELS

被引：103

作者：

MASLOV, S

PACZUSKI, M

BAK, P

机构：

[1] SUNY STONY BROOK,DEPT PHYS,STONY BROOK,NY 11794

[2] ISAAC NEWTON INST MATH SCI,CAMBRIDGE CB4 0EH,ENGLAND

来源：

PHYSICAL REVIEW LETTERS | 1994年 / 73卷 / 16期

关键词：

D O I：

10.1103/PhysRevLett.73.2162

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We formally establish the relationship between spatial fractal behavior and long-range temporal correlations for a broad range of self-organized (and not self-organized) critical phenomena including directed percolation, interface depinning, and a simple evolution model. The recurrent activity at any particular site forms a fractal in time, with a power spectrum S(f) similar to 1/f((d) over bar) . The exponent (d) over tilde = to (D - d)/z, where d is the spatial dimension, D is the avalanche dimension, and z is the usual dynamical exponent. Theoretical results agree with numerical simulations.

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页码：2162 / 2165

页数：4

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