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Title: Avalanche statistics from data with low time resolution

Journal Article · · Physical Review E
 [1];  [1];  [2];  [3];  [1];  [1]
  1. Univ. of Illinois, Urbana, IL (United States). Dept. of Physics. Inst. of Condensed Matter Theory
  2. Bucknell Univ., Lewisburg, PA (United States). Dept. of Mechanical Engineering. Dept. of Chemical Engineering
  3. Bucknell Univ., Lewisburg, PA (United States). Dept. of Mechanical Engineering
+ Show Author Affiliations

Extracting avalanche distributions from experimental microplasticity data can be hampered by limited time resolution. We compute the effects of low time resolution on avalanche size distributions and give quantitative criteria for diagnosing and circumventing problems associated with low time resolution. We show that traditional analysis of data obtained at low acquisition rates can lead to avalanche size distributions with incorrect power-law exponents or no power-law scaling at all. Furthermore, we demonstrate that it can lead to apparent data collapses with incorrect power-law and cutoff exponents. We propose new methods to analyze low-resolution stress-time series that can recover the size distribution of the underlying avalanches even when the resolution is so low that naive analysis methods give incorrect results. We test these methods on both downsampled simulation data from a simple model and downsampled bulk metallic glass compression data and find that the methods recover the correct critical exponents.

Research Organization:
Univ. of Illinois at Urbana-Champaign, IL (United States); Bucknell Univ., Lewisburg, PA (United States)
Sponsoring Organization:
USDOE Office of Fossil Energy (FE); National Science Foundation (NSF)
Grant/Contract Number:
FE0011194; CBET 1336634; DMS 1069224; DMR 1042734; PHY-1125915
OSTI ID:
1427978
Alternate ID(s):
OSTI ID: 1333321
Journal Information:
Physical Review E, Vol. 94, Issue 5; ISSN 2470-0045
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

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Cited By (4)

Slip statistics for a bulk metallic glass composite reflect its ductility journal November 2018
Experimental Evidence of Accelerated Seismic Release without Critical Failure in Acoustic Emissions of Compressed Nanoporous Materials journal June 2018
Scale-dependent pop-ins in nanoindentation and scale-free plastic fluctuations in microcompression journal January 2020
Experimental evidence of accelerated seismic release without critical failure in acoustic emissions of compressed nanoporous materials text January 2018

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Related Subjects

97 MATHEMATICS AND COMPUTING
avalanches
plasticity
time series analysis
statistical physics