Superstatistical view of stress-induced electric current fluctuations in rocks

Alexis Cartwright-Taylor; Filippos Vallianatos; Peter Sammonds

doi:10.1016/j.physa.2014.07.064

Superstatistical view of stress-induced electric current fluctuations in rocks

Alexis Cartwright-Taylor, Filippos Vallianatos^*, Peter Sammonds

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

45 Citations (Scopus)

Abstract

The concepts of non-extensive statistical physics, which have recently been applied in the study of complex systems, have been used here to analyse stress-induced electric current data in triaxially deformed Carrara marble samples. The fluctuations of electric current appear to follow a q-Gaussian distribution, with the PDF exhibiting 'fat tails'. The application of super-statistical techniques to these electric current fluctuations shows to good approximation that they can be described by local Gaussian processes with fluctuating variance.

Original language	English
Pages (from-to)	368-377
Number of pages	10
Journal	Physica A: Statistical Mechanics and its Applications
Volume	414
DOIs	https://doi.org/10.1016/j.physa.2014.07.064
Publication status	Published - 15 Nov 2014

Keywords

Earth's complex systems
q-statistics
Rocks
Superstatistics

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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10.1016/j.physa.2014.07.064

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abstract = "The concepts of non-extensive statistical physics, which have recently been applied in the study of complex systems, have been used here to analyse stress-induced electric current data in triaxially deformed Carrara marble samples. The fluctuations of electric current appear to follow a q-Gaussian distribution, with the PDF exhibiting 'fat tails'. The application of super-statistical techniques to these electric current fluctuations shows to good approximation that they can be described by local Gaussian processes with fluctuating variance.",

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N2 - The concepts of non-extensive statistical physics, which have recently been applied in the study of complex systems, have been used here to analyse stress-induced electric current data in triaxially deformed Carrara marble samples. The fluctuations of electric current appear to follow a q-Gaussian distribution, with the PDF exhibiting 'fat tails'. The application of super-statistical techniques to these electric current fluctuations shows to good approximation that they can be described by local Gaussian processes with fluctuating variance.

AB - The concepts of non-extensive statistical physics, which have recently been applied in the study of complex systems, have been used here to analyse stress-induced electric current data in triaxially deformed Carrara marble samples. The fluctuations of electric current appear to follow a q-Gaussian distribution, with the PDF exhibiting 'fat tails'. The application of super-statistical techniques to these electric current fluctuations shows to good approximation that they can be described by local Gaussian processes with fluctuating variance.

KW - Earth's complex systems

KW - q-statistics

KW - Rocks

KW - Superstatistics

UR - https://www.scopus.com/pages/publications/84906267813

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JO - Physica A: Statistical Mechanics and its Applications

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ER -

Superstatistical view of stress-induced electric current fluctuations in rocks

Abstract

Keywords

ASJC Scopus subject areas

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