Kinetic roughening in slow combustion of paper

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Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2001
Major/Subject
Mcode
Degree programme
Language
en
Pages
036101/1-12
Series
Physical Review E, Volume 64, Issue 3
Abstract
Results of experiments on the dynamics and kinetic roughening of one-dimensional slow-combustion fronts in three grades of paper are reported. Extensive averaging of the data allows a detailed analysis of the spatial and temporal development of the interface fluctuations. The asymptotic scaling properties, on long length and time scales, are well described by the Kardar-Parisi-Zhang (KPZ) equation with short-range, uncorrelated noise. To obtain a more detailed picture of the strong-coupling fixed point, characteristic of the KPZ universality class, universal amplitude ratios, and the universal coupling constant are computed from the data and found to be in good agreement with theory. Below the spatial and temporal scales at which a crossover takes place to the standard KPZ behavior, the fronts display higher apparent exponents and apparent multiscaling. In this regime the interface velocities are spatially and temporally correlated, and the distribution of the magnitudes of the effective noise has a power-law tail. The relation of the observed short-range behavior and the noise as determined from the local velocity fluctuations is discussed.
Description
Keywords
kinetic roughening, interface dynamics, slow combustion, paper
Other note
Citation
Myllys, M. & Maunuksela, J. & Alava, M. & Ala-Nissilä, Tapio & Merikoski, J. & Timonen, J. 2001. Kinetic roughening in slow combustion of paper. Physical Review E. Volume 64, Issue 3. P. 036101/1-12. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.64.036101.