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Journal of Physics A: Mathematical and General


On a self-organized critical forest-fire model

P Grassberger

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The author studies a forest-fire model introduced in a paper by Drossel and Schwabl (1992), by means of simulations with high statistics and very close to the critical point. In this way he can correct some statements made in that paper. In particular, he finds that the critical exponents are not the 'classical' ones proposed by Drossel and Schwabl. In spite of scaling laws with anomalous exponents, the typical states of the system are not 'critical' in the sense of being marginally stable locally.


PACS

05.65.+b Self-organized systems

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

MSC

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs

82B27 Critical phenomena

Subjects

Statistical physics and nonlinear systems

Dates

Issue 9 (7 May 1993)

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  1. On a self-organized critical forest-fire model

    P Grassberger 1993 J. Phys. A: Math. Gen. 26 2081

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