title: Avalanche statistics from data with low time resolution.
abstract: 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.
authors.affiliation: Department of Physics and Institute of Condensed Matter Theory, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080, USA.
authors.forename: Michael
authors.initials: M
authors.lastname: LeBlanc
authors.affiliation: Department of Physics and Institute of Condensed Matter Theory, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080, USA.
authors.forename: Aya
authors.initials: A
authors.lastname: Nawano
authors.affiliation: Department of Mechanical Engineering, One Dent Drive, Bucknell University, Lewisburg, Pennsylvania 17837, USA.|Department of Chemical Engineering, One Dent Drive, Bucknell University, Lewisburg, Pennsylvania 17837, USA.
authors.forename: Wendelin J
authors.initials: WJ
authors.lastname: Wright
authors.affiliation: Department of Mechanical Engineering, One Dent Drive, Bucknell University, Lewisburg, Pennsylvania 17837, USA.
authors.forename: Xiaojun
authors.initials: X
authors.lastname: Gu
authors.affiliation: Department of Physics and Institute of Condensed Matter Theory, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080, USA.
authors.forename: J T
authors.initials: JT
authors.lastname: Uhl
authors.affiliation: Department of Physics and Institute of Condensed Matter Theory, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080, USA.
authors.forename: Karin A
authors.initials: KA
authors.lastname: Dahmen