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Title: Avalanche statistics from data with low time resolution

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.
 [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
Publication Date:
Grant/Contract Number:
FE0011194; CBET 1336634; DMS 1069224; DMR 1042734; PHY-1125915
Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 94; Journal Issue: 5; Journal ID: ISSN 2470-0045
American Physical Society (APS)
Research Org:
Univ. of Illinois at Urbana-Champaign, IL (United States); Bucknell Univ., Lewisburg, PA (United States)
Sponsoring Org:
USDOE Office of Fossil Energy (FE); National Science Foundation (NSF)
Country of Publication:
United States
97 MATHEMATICS AND COMPUTING; avalanches; plasticity; time series analysis; statistical physics
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1333321