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Avalanches in Functional Materials and Geophysics pp 167–198Cite as

Microstructural Effects During Crackling Noise Phenomena

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Part of the book series: Understanding Complex Systems ((UCS))

Abstract

Crackling noise phenomena typically exhibit scale-free statistical distributions (e.g., power law) of the measured variables. Such a universal behavior reveals little information regarding the physical mechanisms and microstructures that are either responsible and/or affect crackling behavior. Here, we address this issue and show three physical systems in which the distributions of certain variables are centered around a most probable value, which is related to a characteristic size of the internal microstructure. These variables represent microstructural-related events. At the same time, each microstructural-related event proceeds through a multitude of smaller mesoscopic events that span several orders of magnitude. Statistical analyses of other variables, which are associated with the mesoscopic events, follow a scale-invariant power law distribution. The origins for the co-existence of events at different scales and their different statistical distributions are discussed in light of the physical characteristics of the investigated systems.

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Acknowledgments

This research was supported by the Israel Science Foundation (grant No. 1268/14).

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  1. Faculty of Mechanical Engineering, Technion, 3200003, Haifa, Israel

    Eilon Faran & Doron Shilo

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  1. Eilon Faran
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  2. Doron Shilo
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Correspondence to Eilon Faran .

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  1. Department of Earth Sciences, University of Cambridge , Cambridge, United Kingdom

    Ekhard K.H. Salje

  2. Theoretical Division, Los Alamos National Laboratory, Los Alamos, USA

    Avadh Saxena

  3. Estructura i Constitutents de la Matèria, Universitat de Barcelona, Barcelona, Spain

    Antoni Planes

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Faran, E., Shilo, D. (2017). Microstructural Effects During Crackling Noise Phenomena. In: Salje, E., Saxena, A., Planes, A. (eds) Avalanches in Functional Materials and Geophysics. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-45612-6_9

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