Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevLett.86.2475
Title: Solitons in the one-dimensional forest fire model
Authors: Bak, P.
Chen, K. 
Paczuski, M.
Issue Date: 12-Mar-2001
Citation: Bak, P., Chen, K., Paczuski, M. (2001-03-12). Solitons in the one-dimensional forest fire model. Physical Review Letters 86 (11) : 2475-2477. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevLett.86.2475
Abstract: Fires in the one-dimensional Bak-Chen-Tang forest fire model propagate as solitons, resembling shocks in Burgers turbulence. The branching of solitons, creating new fires, is balanced by the pairwise annihilation of oppositely moving solitons. Two distinct, diverging length scales appear in the limit where the growth rate of trees, p, vanishes. The width of the solitons, w, diverges as a powe law, 1/p, while the average distance between solitons diverges much faster as d ∼ exp(π2/12P).
Source Title: Physical Review Letters
URI: http://scholarbank.nus.edu.sg/handle/10635/104861
ISSN: 00319007
DOI: 10.1103/PhysRevLett.86.2475
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