Temporal and spatial persistence of combustion fronts in paper

The spatial and temporal persistence, or first-return distributions are measured for slow-combustion fronts in paper. The stationary temporal and (perhaps less convincingly) spatial persistence exponents agree with the predictions based on the front dynamics, which asymptotically belongs to the Kard...

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Bibliographic Details
Published in:Physical review letters 2003-01, Vol.90 (2), p.024501-024501, Article 024501
Main Authors: Merikoski, J, Maunuksela, J, Myllys, M, Timonen, J, Alava, M J
Format: Article
Language:English
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Summary:The spatial and temporal persistence, or first-return distributions are measured for slow-combustion fronts in paper. The stationary temporal and (perhaps less convincingly) spatial persistence exponents agree with the predictions based on the front dynamics, which asymptotically belongs to the Kardar-Parisi-Zhang universality class. The stationary short-range and the transient behavior of the fronts are non-Markovian, and the observed persistence properties thus do not agree with the predictions based on Markovian theory. This deviation is a consequence of additional time and length scales, related to the crossovers to the asymptotic coarse-grained behavior.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.90.024501