RENORMALIZATION-GROUP APPROACH TO THE CRITICAL-BEHAVIOR OF THE FOREST-FIRE MODEL

被引：47

作者：

LORETO, V

PIETRONERO, L

VESPIGNANI, A

ZAPPERI, S

机构：

[1] LEIDEN UNIV,INST LORENTZ,2300 RA LEIDEN,NETHERLANDS

[2] BOSTON UNIV,CTR POLYMER STUDIES,BOSTON,MA 02215

[3] BOSTON UNIV,DEPT PHYS,BOSTON,MA 02215

来源：

PHYSICAL REVIEW LETTERS | 1995年 / 75卷 / 03期

关键词：

D O I：

10.1103/PhysRevLett.75.465

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce a renormalization scheme for the one- and two-dimensional forest-fire model in order to characterize the nature of the critical state and its scale invariant dynamics. We show the existence of a relevant scaling field associated with a repulsive fixed point. This model is therefore critical in the usual sense because the control parameter has to be tuned to its critical value in order to get criticality. It turns out that this is not just the condition for a time scale separation. The critical exponents are computed analytically and we obtain nu = 1.0, tau = 1.0 and nu = 0.65, tau = 1.16, respectively, for the one- and two-dimensional cases, in very good agreement with numerical simulations.

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页码：465 / 468

页数：4

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