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Title: Echoes from anharmonic normal modes in model glasses

Abstract

Glasses display a wide array of nonlinear acoustic phenomena at temperatures T ≲1 K. This behavior has traditionally been explained by an ensemble of weakly coupled, two-level tunneling states, a theory that is also used to describe the thermodynamic properties of glasses at low temperatures. One of the most striking acoustic signatures in this regime is the existence of phonon echoes, a feature that has been associated with two-level systems with the same formalism as spin echoes in NMR. Here we report the existence of a distinctly different type of acoustic echo in classical models of glassy materials. Our simulations consist of finite-ranged, repulsive spheres and also particles with attractive forces using Lennard-Jones interactions. We show that these echoes are due to anharmonic, weakly coupled vibrational modes and perhaps provide an alternative explanation for the phonon echoes observed in glasses at low temperatures.

Authors:
 [1];  [2]
  1. Emory Univ., Atlanta, GA (United States). Dept. of Physics
  2. Univ. of Chicago, IL (United States). Enrico Fermi Inst.
Publication Date:
Research Org.:
Univ. of Chicago, IL (United States)
Sponsoring Org.:
National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1418617
Alternate Identifier(s):
OSTI ID: 1244132
Grant/Contract Number:  
FG02-03ER46088; DMR-1420709; DMR-1455086
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 93; Journal Issue: 3; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Burton, Justin C., and Nagel, Sidney R. Echoes from anharmonic normal modes in model glasses. United States: N. p., 2016. Web. doi:10.1103/PhysRevE.93.032905.
Burton, Justin C., & Nagel, Sidney R. Echoes from anharmonic normal modes in model glasses. United States. https://doi.org/10.1103/PhysRevE.93.032905
Burton, Justin C., and Nagel, Sidney R. Fri . "Echoes from anharmonic normal modes in model glasses". United States. https://doi.org/10.1103/PhysRevE.93.032905. https://www.osti.gov/servlets/purl/1418617.
@article{osti_1418617,
title = {Echoes from anharmonic normal modes in model glasses},
author = {Burton, Justin C. and Nagel, Sidney R.},
abstractNote = {Glasses display a wide array of nonlinear acoustic phenomena at temperatures T ≲1 K. This behavior has traditionally been explained by an ensemble of weakly coupled, two-level tunneling states, a theory that is also used to describe the thermodynamic properties of glasses at low temperatures. One of the most striking acoustic signatures in this regime is the existence of phonon echoes, a feature that has been associated with two-level systems with the same formalism as spin echoes in NMR. Here we report the existence of a distinctly different type of acoustic echo in classical models of glassy materials. Our simulations consist of finite-ranged, repulsive spheres and also particles with attractive forces using Lennard-Jones interactions. We show that these echoes are due to anharmonic, weakly coupled vibrational modes and perhaps provide an alternative explanation for the phonon echoes observed in glasses at low temperatures.},
doi = {10.1103/PhysRevE.93.032905},
journal = {Physical Review E},
number = 3,
volume = 93,
place = {United States},
year = {Fri Mar 25 00:00:00 EDT 2016},
month = {Fri Mar 25 00:00:00 EDT 2016}
}

Journal Article:

Citation Metrics:
Cited by: 7 works
Citation information provided by
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Figures / Tables:

FIG. 1. FIG. 1.: (Color online) (a) Acoustic echo generated in jammed systems composed of 1000 particles at $\phi$ = 0.70. The result is an average over the response of 10000 independent systems. After a series of excitation pulses separated by time $τ$ , a spontaneous re-phasing of the vibrational modes occursmore » at a time t = 2$τ$ . (b) Visual representation of one of the jammed systems used in generating the echo. The red particles are 1.4 times larger than the blue particles. The acoustic pulses are excited by a transverse standing wave along the $x$-direction.« less

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Works referencing / citing this record:

Energy transport in glasses
journal, January 2020

  • Flenner, Elijah; Wang, Lijin; Szamel, Grzegorz
  • Soft Matter, Vol. 16, Issue 3
  • DOI: 10.1039/c9sm02171j

Memory formation in cyclically deformed amorphous solids and sphere assemblies
journal, September 2018


Memory formation in cyclically deformed amorphous solids and sphere assemblies
preprint, January 2018


Memory formation in matter
text, January 2018