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Title: Period proliferation in periodic states in cyclically sheared jammed solids

Abstract

Athermal disordered systems can display a remarkable response to an applied oscillatory shear: After a relatively few shearing cycles, the system falls into a configuration that had already been visited in a previous cycle. After this point the system repeats its dynamics periodically despite undergoing many particle rearrangements during each cycle. We study here the behavior of orbits as we approach the jamming point in simulations of jammed particles subject to oscillatory shear at fixed pressure and zero temperature. As the pressure is lowered, we find that it becomes more common for the system to find periodic states where it takes multiple cycles before returning to a previously visited state. Thus, there is a proliferation of longer periods as the jamming point is approached.

Authors:
 [1];  [1];  [2]
  1. Univ. of Pennsylvania, Philadelphia, PA (United States)
  2. Univ. of Chicago, IL (United States). Enrico Fermi Inst.
Publication Date:
Research Org.:
Univ. of Pennsylvania, Philadelphia, PA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; National Science Foundation (NSF)
OSTI Identifier:
1596538
Alternate Identifier(s):
OSTI ID: 1374769
Grant/Contract Number:  
FG02-05ER46199; DMR-1120901; DMR-1262047
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 96; Journal Issue: 2; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; jamming; non equilibrium statistical mechanics; phase transitions; shear deformation; cyclic shearing, reversibility; memory; absorbing-state phase transition

Citation Formats

Lavrentovich, Maxim O., Liu, Andrea J., and Nagel, Sidney R. Period proliferation in periodic states in cyclically sheared jammed solids. United States: N. p., 2017. Web. doi:10.1103/PhysRevE.96.020101.
Lavrentovich, Maxim O., Liu, Andrea J., & Nagel, Sidney R. Period proliferation in periodic states in cyclically sheared jammed solids. United States. doi:10.1103/PhysRevE.96.020101.
Lavrentovich, Maxim O., Liu, Andrea J., and Nagel, Sidney R. Thu . "Period proliferation in periodic states in cyclically sheared jammed solids". United States. doi:10.1103/PhysRevE.96.020101. https://www.osti.gov/servlets/purl/1596538.
@article{osti_1596538,
title = {Period proliferation in periodic states in cyclically sheared jammed solids},
author = {Lavrentovich, Maxim O. and Liu, Andrea J. and Nagel, Sidney R.},
abstractNote = {Athermal disordered systems can display a remarkable response to an applied oscillatory shear: After a relatively few shearing cycles, the system falls into a configuration that had already been visited in a previous cycle. After this point the system repeats its dynamics periodically despite undergoing many particle rearrangements during each cycle. We study here the behavior of orbits as we approach the jamming point in simulations of jammed particles subject to oscillatory shear at fixed pressure and zero temperature. As the pressure is lowered, we find that it becomes more common for the system to find periodic states where it takes multiple cycles before returning to a previously visited state. Thus, there is a proliferation of longer periods as the jamming point is approached.},
doi = {10.1103/PhysRevE.96.020101},
journal = {Physical Review E},
number = 2,
volume = 96,
place = {United States},
year = {2017},
month = {8}
}

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    Works referencing / citing this record:

    Absorbing-State Transitions in Granular Materials Close to Jamming
    journal, February 2020