Reply to the comment on "Avalanches and Non-Gaussian Fluctuations of the Global Velocity of Imbibition Fronts"
Ramon Planet, St\'ephane Santucci, and Jordi Ort\'in
TL;DR
This paper clarifies the correct methodology for analyzing power law distributions of avalanches in imbibition fronts, ensuring reliable exponent extraction and addressing previous methodological concerns.
Contribution
It provides a detailed discussion on the proper procedure to extract accurate exponents from power law distributions in avalanche data.
Findings
Clarification of the correct analysis procedure for power law exponents
Emphasis on methodological accuracy for reliable exponent estimation
Addressing previous comments to improve data interpretation
Abstract
In [R. Planet, S. Santucci and J. Ortin, Phys. Rev. Lett. 102, 094502 (2009)], we reported that both the size and duration of the global avalanches observed during a forced imbibition process follow power law distributions with cut-offs. Following a comment by G. Pruessner, we discuss here the right procedure to perfom, in order to extract reliable exponents characterising those pdf's.
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Taxonomy
TopicsComplex Systems and Time Series Analysis · Statistical Mechanics and Entropy · Theoretical and Computational Physics