Self-organized multistability in the forest fire model

被引:3
|
作者
Rybski, Diego [1 ,2 ,3 ]
Butsic, Van [2 ]
Kantelhardt, Jan W. [4 ]
机构
[1] Leibniz Assoc, Potsdam Inst Climate Impact Res PIK, POB 601203, D-14412 Potsdam, Germany
[2] Univ Calif Berkeley, Dept Environm Sci Policy & Management, 130 Mulford Hall 3114, Berkeley, CA 94720 USA
[3] Complex Sci Hub Vienna, Josefstadterstr 39, A-1090 Vienna, Austria
[4] Martin Luther Univ Halle Wittenberg, Inst Phys, D-06099 Halle, Germany
关键词
Deforestation - Fires - Fire hazards - White noise;
D O I
10.1103/PhysRevE.104.L012201
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 forest fire model in statistical physics represents a paradigm for systems close to but not completely at criticality. For large tree growth probabilities p we identify periodic attractors, where the tree density rho oscillates between discrete values. For lower p this self-organized multistability persists with incrementing numbers of states. Even at low p the system remains quasiperiodic with a frequency approximate to p on the way to chaos. In addition, the power-spectrum shows 1/f2 scaling (Brownian noise) at the low frequencies f , which turns into white noise for very long simulation times.
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页数:6
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