Irrelevance of spatial correlations in models with extremal dynamics

被引：4

作者：

Cafiero, R

Gabrielli, A

Marsili, M

机构：

[1] INFM,UNITA ROMA 1,ROME,ITALY

[2] UNIV ROMA TOR VERGATA,DIPARTIMENTO FIS,I-00133 ROME,ITALY

[3] UNIV FRIBOURG,INST PHYS THEOR,CH-1700 FRIBOURG,SWITZERLAND

来源：

PHYSICAL REVIEW E | 1997年 / 55卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.55.7745

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：

The relevance of spatial correlations set up in the quenched disorder by extremal dynamics is studied both analytically and by numerical simulations. We find that these correlations, although present in systems of small size L, vanish in the thermodynamic limit.

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收藏

页码：7745 / 7748

页数：4

相关论文

共 11 条

[1] PUNCTUATED EQUILIBRIUM AND CRITICALITY IN A SIMPLE-MODEL OF EVOLUTION [J].

BAK, P ;

SNEPPEN, K .

PHYSICAL REVIEW LETTERS, 1993, 71 (24) :4083-4086

[2] Theory of extremal dynamics with quenched disorder: Invasion percolation and related models [J].

Cafiero, R ;

Gabrielli, A ;

Marsili, M ;

Pietronero, L .

PHYSICAL REVIEW E, 1996, 54 (02) :1406-1425

[3] THE FIXED-SCALE TRANSFORMATION APPROACH TO FRACTAL GROWTH [J].

ERZAN, A ;

PIETRONERO, L ;

VESPIGNANI, A .

REVIEWS OF MODERN PHYSICS, 1995, 67 (03) :545-604

[4] Comment on the run time statistics in models of growth in disordered media [J].

Gabrielli, A ;

Marsili, M ;

Cafiero, R ;

Pietronero, L .

JOURNAL OF STATISTICAL PHYSICS, 1996, 84 (3-4) :889-893

[5]

Galambos J., 1978, The asymptotic theory of extreme order statistics

[6] RUN-TIME STATISTICS IN MODELS OF GROWTH IN DISORDERED MEDIA [J].

MARSILI, M .

JOURNAL OF STATISTICAL PHYSICS, 1994, 77 (3-4) :733-754

[7] RENORMALIZATION-GROUP APPROACH TO THE SELF-ORGANIZATION OF A SIMPLE-MODEL OF BIOLOGICAL EVOLUTION [J].

MARSILI, M .

EUROPHYSICS LETTERS, 1994, 28 (06) :385-390

[8] Avalanche dynamics in evolution, growth, and depinning models [J].

Paczuski, M ;

Maslov, S ;

Bak, P .

PHYSICAL REVIEW E, 1996, 53 (01) :414-443

[9]

SCHENKEL A, 1993, FRACTALS, V1, P41

[10] SELF-ORGANIZED PINNING AND INTERFACE GROWTH IN A RANDOM MEDIUM [J].

SNEPPEN, K .

PHYSICAL REVIEW LETTERS, 1992, 69 (24) :3539-3542