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Myllys M, Maunuksela J, Alava M, et al. Kinetic roughening in slow combustion of paper. Phys Rev E Stat Nonlin Soft Matter Phys. 2001;64(3):036101doi: 10.1103/PhysRevE.64.036101.
Myllys, M., Maunuksela, J., Alava, M., Ala-Nissila, T., Merikoski, J., & Timonen, J. (2001). Kinetic roughening in slow combustion of paper. Physical review. E, Statistical, nonlinear, and soft matter physics, 64(3), 036101. https://doi.org/10.1103/PhysRevE.64.036101
Myllys, M, et al. "Kinetic roughening in slow combustion of paper." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 64,3 (2001): 036101. doi: https://doi.org/10.1103/PhysRevE.64.036101
Myllys M, Maunuksela J, Alava M, Ala-Nissila T, Merikoski J, Timonen J. Kinetic roughening in slow combustion of paper. Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Sep;64(3):036101. doi: 10.1103/PhysRevE.64.036101. Epub 2001 Aug 06. PMID: 11580388.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Sep;64(3):036101. doi: 10.1103/PhysRevE.64.036101. Epub 2001 Aug 06.

Kinetic roughening in slow combustion of paper.

Physical review. E, Statistical, nonlinear, and soft matter physics

M Myllys, J Maunuksela, M Alava, T Ala-Nissila, J Merikoski, J Timonen

Affiliations

  1. Department of Physics, University of Jyväskylä, P.O. Box 35, FIN-40351 Jyväskylä, Finland.

PMID: 11580388 DOI: 10.1103/PhysRevE.64.036101

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.

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