Scaling and Noise in Slow Combustion of Paper

Myllys, Markko; Maunuksela, J.; Alava, Mikko J.; Ala-Nissilä, Tapio; Timonen, J.

doi:10.1103/physrevlett.84.1946

Cited by 44 publications

(54 citation statements)

References 27 publications

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“…In a paper combustion front experiment, β q varied across the value 0.5, and α q did not fall beneath 0.5 [17]. This tendency in β q is similar to our result.…”

Section: Discussionsupporting

confidence: 88%

Asymptotic function for multigrowth surfaces using power-law noise

Katsuragi

Honjo

2003

Phys. Rev. E

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Numerical simulations are used to investigate the multiaffine exponent αq and multi-growth exponent βq of ballistic deposition growth for noise obeying a power-law distribution. The simulated values of βq are compared with the asymptotic function βq = 1 q that is approximated from the power-law behavior of the distribution of height differences over time. They are in good agreement for large q. The simulated αq is found in the range. This implies that large rare events tend to break the KPZ universality scaling-law at higher order q.

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“…In a paper combustion front experiment, β q varied across the value 0.5, and α q did not fall beneath 0.5 [17]. This tendency in β q is similar to our result.…”

Section: Discussionsupporting

confidence: 88%

Asymptotic function for multigrowth surfaces using power-law noise

Katsuragi

Honjo

2003

Phys. Rev. E

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“…This probably implies the asymptotic KPZ behavior (α = 0.5 and β = 1/3). Simulations in Slow combustion front of paper shows multiaffinity [11]. The size distribution of neighbor-height-differences (effective noise) of this system obeys power-law.…”

Section: Discussionmentioning

confidence: 99%

“…The multiaffine analysis method is based on the multifractal concept [1,11,14,18]. According to their results, q-th order height-height correlation function C q is defined as,…”

Section: Analysis Methodsmentioning

confidence: 99%

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Classification of KPZQ and BDP Models by Multiaffine Analysis

Katsuragi

Honjo

2004

J. Phys. Soc. Jpn.

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We argue differences between the Kardar-Parisi-Zhang with Quenched disorder (KPZQ) and the Ballistic Deposition with Power-law noise (BDP) models, using the multiaffine analysis method. The KPZQ and the BDP models show mono-affinity and multiaffinity, respectively. This difference results from the different distribution types of neighbor-height differences in growth paths. Exponential and power-law distributions are observed in the KPZQ and the BDP, respectively. In addition, we point out the difference of profiles directly, i.e., although the surface profiles of both models and the growth path of the BDP model are rough, the growth path of the KPZQ model is smooth.

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“…Early, the kinetic roughening in slow combustion of paper was studied in works [ [24][25][26][27][28][29] in which the flame dynamics was essentially laminar. 30 We note that the forced air flow is essential to produce the flame turbulence [ 21 ].…”

Section: Methodsmentioning

confidence: 99%