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:
-
- Emory Univ., Atlanta, GA (United States). Dept. of Physics
- 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}
}
Web of Science
Figures / Tables:
Works referenced in this record:
Phonon Echoes in Glass
journal, September 1976
- Golding, Brage; Graebner, John E.
- Physical Review Letters, Vol. 37, Issue 13
On the theory of pulse stimulated radiation from a plasma
journal, December 1965
- Kegel, W. H.; Gould, R. W.
- Physics Letters, Vol. 19, Issue 7
Tunneling Systems in Amorphous and Crystalline Solids
book, January 1998
- Esquinazi, Pablo
- Springer Berlin, Heidelberg
Two-level states in glasses
journal, December 1987
- Phillips, W. A.
- Reports on Progress in Physics, Vol. 50, Issue 12
Localized states in glasses
journal, January 1989
- Galperin, Yu. M.; Karpov, V. G.; Kozub, V. I.
- Advances in Physics, Vol. 38, Issue 6
Nonlinear Phonon Propagation in Fused Silica below 1 K
journal, February 1973
- Golding, Brage; Graebner, J. E.; Halperin, B. I.
- Physical Review Letters, Vol. 30, Issue 6
Echo phenomena in simple oscillators
journal, January 1976
- Kuindersma, P. I.; Huizenga, S.; Kommandeur, J.
- Physical Review B, Vol. 13, Issue 2
Marginal stability in jammed packings: Quasicontacts and weak contacts
journal, August 2014
- Kallus, Yoav; Torquato, Salvatore
- Physical Review E, Vol. 90, Issue 2
Predicting plasticity with soft vibrational modes: From dislocations to glasses
journal, April 2014
- Rottler, Jörg; Schoenholz, Samuel S.; Liu, Andrea J.
- Physical Review E, Vol. 89, Issue 4
Vibrational Modes Identify Soft Spots in a Sheared Disordered Packing
journal, August 2011
- Manning, M. L.; Liu, A. J.
- Physical Review Letters, Vol. 107, Issue 10
Normal modes in model jammed systems in three dimensions
journal, February 2009
- Silbert, Leonardo E.; Liu, Andrea J.; Nagel, Sidney R.
- Physical Review E, Vol. 79, Issue 2
Direct Experimental Observation of Spectral Diffusion in Vitreous Silica at low Temperatures
journal, August 1978
- Arnold, W.; Martinon, C.; Hunklinger, S.
- Le Journal de Physique Colloques, Vol. 39, Issue C6
Coherent Electric Echoes in Fused Silica Glass
journal, August 1978
- Schickfus, M. V.; Golding, B.; Arnold, W.
- Le Journal de Physique Colloques, Vol. 39, Issue C6
Cyclotron Echoes in Plasmas
journal, April 1967
- Herrmann, G. F.; Hill, R. M.; Kaplan, D. E.
- Physical Review, Vol. 156, Issue 1
Anomalous low-temperature thermal properties of glasses and spin glasses
journal, January 1972
- Anderson, P. w.; Halperin, B. I.; Varma, c. M.
- Philosophical Magazine, Vol. 25, Issue 1
Spectral diffusion, phonon echoes, and saturation recovery in glasses at low temperatures
journal, September 1977
- Black, J. L.; Halperin, B. I.
- Physical Review B, Vol. 16, Issue 6
Nonlinear echoes, phase conjugation, time reversal, and electronic holography
journal, January 1981
- Korpel, A.; Chatterjee, M.
- Proceedings of the IEEE, Vol. 69, Issue 12
Excess Vibrational Modes and the Boson Peak in Model Glasses
journal, April 2007
- Xu, Ning; Wyart, Matthieu; Liu, Andrea J.
- Physical Review Letters, Vol. 98, Issue 17
Repulsive Contact Interactions Make Jammed Particulate Systems Inherently Nonharmonic
journal, August 2011
- Schreck, Carl F.; Bertrand, Thibault; O’Hern, Corey S.
- Physical Review Letters, Vol. 107, Issue 7
Dynamic Polarization Echoes in Powders
journal, October 1976
- Kajimura, K.; Fossheim, K.; Kazyaka, T. G.
- Physical Review Letters, Vol. 37, Issue 17
Beyond the tunneling model—Elastic properties of vitreous silica at low temperatures
book, January 2007
- Classen, J.; Burkert, T.; Enss, C.
- Advances in Solid State Physics
Photon Echoes
journal, January 1966
- Abella, I. D.; Kurnit, N. A.; Hartmann, S. R.
- Physical Review, Vol. 141, Issue 1
Supercooled Liquids and Glasses
journal, January 1996
- Ediger, M. D.; Angell, C. A.; Nagel, Sidney R.
- The Journal of Physical Chemistry, Vol. 100, Issue 31
Acoustic saturation in a glass at low temperatures
journal, March 1983
- Graebner, J. E.; Allen, L. C.; Golding, B.
- Physical Review B, Vol. 27, Issue 6
Jamming at zero temperature and zero applied stress: The epitome of disorder
journal, July 2003
- O’Hern, Corey S.; Silbert, Leonardo E.; Liu, Andrea J.
- Physical Review E, Vol. 68, Issue 1
Comment on “Repulsive Contact Interactions Make Jammed Particulate Systems Inherently Nonharmonic”
journal, January 2014
- Goodrich, Carl P.; Liu, Andrea J.; Nagel, Sidney R.
- Physical Review Letters, Vol. 112, Issue 4
Observation of a Photon Echo
journal, November 1964
- Kurnit, N. A.; Abella, I. D.; Hartmann, S. R.
- Physical Review Letters, Vol. 13, Issue 19
Heat transport in model jammed solids
journal, February 2010
- Vitelli, Vincenzo; Xu, Ning; Wyart, Matthieu
- Physical Review E, Vol. 81, Issue 2
Tunneling states in amorphous solids
journal, May 1972
- Phillips, W. A.
- Journal of Low Temperature Physics, Vol. 7, Issue 3-4
“Tunneling Two-Level Systems” Model of the Low-Temperature Properties of Glasses: Are “Smoking-Gun” Tests Possible?
journal, July 2013
- Leggett, Anthony J.; Vural, Dervis C.
- The Journal of Physical Chemistry B, Vol. 117, Issue 42
Dynamic polarization echoes in piezoelectric powders
journal, February 1978
- Fossheim, K.; Kajimura, K.; Kazyaka, T. G.
- Physical Review B, Vol. 17, Issue 3
Structural Relaxation Made Simple
journal, October 2006
- Bitzek, Erik; Koskinen, Pekka; Gähler, Franz
- Physical Review Letters, Vol. 97, Issue 17
Anharmonic and quasi-localized vibrations in jammed solids—Modes for mechanical failure
journal, June 2010
- Xu, N.; Vitelli, V.; Liu, A. J.
- EPL (Europhysics Letters), Vol. 90, Issue 5
Cyclotron Resonance Echo
journal, June 1965
- Hill, R. M.; Kaplan, D. E.
- Physical Review Letters, Vol. 14, Issue 26
The Jamming Transition and the Marginally Jammed Solid
journal, August 2010
- Liu, Andrea J.; Nagel, Sidney R.
- Annual Review of Condensed Matter Physics, Vol. 1, Issue 1
Marginal Stability Constrains Force and Pair Distributions at Random Close Packing
journal, September 2012
- Wyart, Matthieu
- Physical Review Letters, Vol. 109, Issue 12
Quench echoes
journal, October 1983
- Nagel, Sidney R.; Grest, Gary S.; Rahman, Aneesur
- Physics Today, Vol. 36, Issue 10
Saturation of the ultrasonic absorption in vitreous silica at low temperatures
journal, December 1972
- Hunklinger, S.; Arnold, W.; Stein, St.
- Physics Letters A, Vol. 42, Issue 3
Low-temperature dipolar echoes in amorphous dielectrics: Significance of relaxation and decoherence free two-level systems
journal, December 2013
- Burin, A. L.; Leveritt, J. M.; Ruyters, G.
- EPL (Europhysics Letters), Vol. 104, Issue 5
Nonlinear ultrasonic attenuation in glasses
journal, January 1974
- Arnold, W.; Hunklinger, S.; Stein, S.
- Journal of Non-Crystalline Solids, Vol. 14, Issue 1
Universal sound absorption in amorphous solids: A theory of elastically coupled generic blocks
journal, October 2011
- Vural, Dervis C.; Leggett, Anthony J.
- Journal of Non-Crystalline Solids, Vol. 357, Issue 19-20
Effects of compression on the vibrational modes of marginally jammed solids
journal, November 2005
- Wyart, Matthieu; Silbert, Leonardo E.; Nagel, Sidney R.
- Physical Review E, Vol. 72, Issue 5
Incoherent Tunneling in Glasses at Very Low Temperatures
journal, October 1997
- Enss, C.; Hunklinger, S.
- Physical Review Letters, Vol. 79, Issue 15
Contact nonlinearities and linear response in jammed particulate packings
journal, August 2014
- Goodrich, Carl P.; Liu, Andrea J.; Nagel, Sidney R.
- Physical Review E, Vol. 90, Issue 2
Jamming of soft particles: geometry, mechanics, scaling and isostaticity
journal, December 2009
- van Hecke, M.
- Journal of Physics: Condensed Matter, Vol. 22, Issue 3
Phonon echoes in a glass at low temperatures
journal, January 1979
- Graebner, John E.; Golding, Brage
- Physical Review B, Vol. 19, Issue 2
Energy Transport in Jammed Sphere Packings
journal, January 2009
- Xu, Ning; Vitelli, Vincenzo; Wyart, Matthieu
- Physical Review Letters, Vol. 102, Issue 3
Role of Mode Interaction in the Amplification and Suppression of Echoes
journal, May 1969
- Herrmann, G. F.; Kaplan, D. E.; Hill, R. M.
- Physical Review, Vol. 181, Issue 2
Phonons in Amorphous Materials
journal, December 1982
- Hunklinger, S.
- Le Journal de Physique Colloques, Vol. 43, Issue C9
Glass Transition Thermodynamics and Kinetics
journal, April 2013
- Stillinger, Frank H.; Debenedetti, Pablo G.
- Annual Review of Condensed Matter Physics, Vol. 4, Issue 1
Thermal Conductivity and Specific Heat of Noncrystalline Solids
journal, September 1971
- Zeller, R. C.; Pohl, R. O.
- Physical Review B, Vol. 4, Issue 6
Temperature quench echoes in proteins
journal, August 1995
- Xu, Dong; Schulten, Klaus; Becker, Oren M.
- The Journal of Chemical Physics, Vol. 103, Issue 8
Works referencing / citing this record:
Energy transport in glasses
journal, January 2020
- Flenner, Elijah; Wang, Lijin; Szamel, Grzegorz
- Soft Matter, Vol. 16, Issue 3
Memory formation in cyclically deformed amorphous solids and sphere assemblies
journal, September 2018
- Adhikari, Monoj; Sastry, Srikanth
- The European Physical Journal E, Vol. 41, Issue 9
Memory formation in cyclically deformed amorphous solids and sphere assemblies
preprint, January 2018
- Adhikari, Monoj; Sastry, Srikanth
- arXiv
Memory formation in matter
text, January 2018
- Keim, Nathan C.; Paulsen, Joseph D.; Zeravcic, Zorana
- arXiv