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American Physical Society, Physical review E: Statistical, nonlinear, and soft matter physics, 6(85), 2012

DOI: 10.1103/physreve.85.066121

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Analysis of power-law exponents by maximum-likelihood maps

Journal article published in 2012 by Jordi Baró, Eduard Vives ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

Maximum-likelihood exponent maps have been studied as a technique to increase the understanding and improve the fit of power-law exponents to experimental and numerical simulation data, especially when they exhibit both upper and lower cut-offs. The use of the technique is tested by analyzing seismological data, acoustic emission data and avalanches in numerical simulations of the 3D-Random Field Ising model. In the different examples we discuss the nature of the deviations observed in the exponent maps and some relevant conclusions are drawn for the physics behind each phenomenon. ; Comment: 15 pages, 14 figures