Biased percolation: forest fires with wind
- 1 April 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (5) , L281-L287
- https://doi.org/10.1088/0305-4470/19/5/012
Abstract
Non-equilibrium percolating-non-percolating phase transitions in kinetic growth of percolation clusters in the presence of an external bias (biased percolation) describing the spread of forest fires with wind, etc, are investigated theoretically. A real space renormalisation group technique is used to calculate a phase diagram, critical exponents and spreading velocities explicitly in a square lattice. The effects of the bias on phase transitions and critical phenomena are clarified. The bias causes the directed spread belonging to a different universality class from that of the unbiased process. New critical exponents for spreading velocities of directed and reverse directed percolation processes are introduced and evaluated explicitly.Keywords
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