@article{
 title = {Effects of coordination and pressure on sound attenuation, boson peak and elasticity in amorphous solids},
 type = {article},
 year = {2014},
 identifiers = {[object Object]},
 pages = {5628-5644},
 volume = {10},
 publisher = {ROYAL SOC CHEMISTRY},
 city = {THOMAS GRAHAM HOUSE, SCIENCE PARK, MILTON RD, CAMBRIDGE CB4 0WF, CAMBS, ENGLAND},
 id = {14b7baff-1fec-3044-a672-a2c6afe0e810},
 created = {2015-12-14T17:20:14.000Z},
 file_attached = {false},
 profile_id = {3187ec9d-0fcc-3ba2-91e0-3075df9b18c3},
 group_id = {38390b00-9aad-3d6e-acf3-749e7feee616},
 last_modified = {2017-03-14T13:46:52.169Z},
 read = {false},
 starred = {false},
 authored = {false},
 confirmed = {true},
 hidden = {false},
 citation_key = {ISI:000339670700022},
 source_type = {article},
 user_context = {Article},
 private_publication = {false},
 abstract = {Connectedness and applied stress strongly affect elasticity in solids.
In various amorphous materials, mechanical stability can be lost either
by reducing connectedness or by increasing pressure. We present an
effective medium theory of elasticity that extends previous approaches
by incorporating the effect of compression, of amplitude e, allowing one
to describe quantitative features of sound propagation, transport, the
boson peak, and elastic moduli near the elastic instability occurring at
a compression e(c). The theory disentangles several frequencies
characterizing the vibrational spectrum: the onset frequency omega(0)
similar to root e(c) - e where strongly-scattered modes appear in the
vibrational spectrum, the pressure-independent frequency omega(*)
where the density of states displays a plateau, the boson peak frequency
omega(BP) found to scale as omega(BP) similar to root
omega(0)omega(*), and the Ioffe-Regel frequency omega(IR) where
scattering length and wavelength become equal. We predict that sound
attenuation crosses over from omega(4) to omega(2) behaviour at
omega(0), consistent with observations in glasses. We predict that a
frequency-dependent length scale l(s)(omega) and speed of sound v(omega)
characterize vibrational modes, and could be extracted from scattering
data. One key result is the prediction of a flat diffusivity above
omega(0), in agreement with previously unexplained observations. We find
that the shear modulus does not vanish at the elastic instability, but
drops by a factor of 2. We check our predictions in packings of soft
particles and study the case of covalent networks and silica, for which
we predict omega(IR) approximate to omega(BP). Overall, our approach
unifies sound attenuation, transport and length scales entering
elasticity in a single framework where disorder is not the main
parameter controlling the boson peak, in agreement with observations.
This framework leads to a phase diagram where various glasses can be
placed, connecting microscopic structure to vibrational properties.},
 bibtype = {article},
 author = {DeGiuli, Eric and Laversanne-Finot, Adrien and Duering, Gustavo and Lerner, Edan and Wyart, Matthieu},
 journal = {SOFT MATTER},
 number = {30}
}

{"_id":"yvaKpbCn7KcXMPJhf","bibbaseid":"degiuli-laversannefinot-duering-lerner-wyart-effectsofcoordinationandpressureonsoundattenuationbosonpeakandelasticityinamorphoussolids-2014","downloads":0,"creationDate":"2015-12-14T17:20:23.310Z","title":"Effects of coordination and pressure on sound attenuation, boson peak and elasticity in amorphous solids","author_short":["DeGiuli, E.","Laversanne-Finot, A.","Duering, G.","Lerner, E.","Wyart, M."],"year":2014,"bibtype":"article","biburl":null,"bibdata":{"title":"Effects of coordination and pressure on sound attenuation, boson peak and elasticity in amorphous solids","type":"article","year":"2014","identifiers":"[object Object]","pages":"5628-5644","volume":"10","publisher":"ROYAL SOC CHEMISTRY","city":"THOMAS GRAHAM HOUSE, SCIENCE PARK, MILTON RD, CAMBRIDGE CB4 0WF, CAMBS, ENGLAND","id":"14b7baff-1fec-3044-a672-a2c6afe0e810","created":"2015-12-14T17:20:14.000Z","file_attached":false,"profile_id":"3187ec9d-0fcc-3ba2-91e0-3075df9b18c3","group_id":"38390b00-9aad-3d6e-acf3-749e7feee616","last_modified":"2017-03-14T13:46:52.169Z","read":false,"starred":false,"authored":false,"confirmed":"true","hidden":false,"citation_key":"ISI:000339670700022","source_type":"article","user_context":"Article","private_publication":false,"abstract":"Connectedness and applied stress strongly affect elasticity in solids.\nIn various amorphous materials, mechanical stability can be lost either\nby reducing connectedness or by increasing pressure. We present an\neffective medium theory of elasticity that extends previous approaches\nby incorporating the effect of compression, of amplitude e, allowing one\nto describe quantitative features of sound propagation, transport, the\nboson peak, and elastic moduli near the elastic instability occurring at\na compression e(c). The theory disentangles several frequencies\ncharacterizing the vibrational spectrum: the onset frequency omega(0)\nsimilar to root e(c) - e where strongly-scattered modes appear in the\nvibrational spectrum, the pressure-independent frequency omega(*)\nwhere the density of states displays a plateau, the boson peak frequency\nomega(BP) found to scale as omega(BP) similar to root\nomega(0)omega(*), and the Ioffe-Regel frequency omega(IR) where\nscattering length and wavelength become equal. We predict that sound\nattenuation crosses over from omega(4) to omega(2) behaviour at\nomega(0), consistent with observations in glasses. We predict that a\nfrequency-dependent length scale l(s)(omega) and speed of sound v(omega)\ncharacterize vibrational modes, and could be extracted from scattering\ndata. One key result is the prediction of a flat diffusivity above\nomega(0), in agreement with previously unexplained observations. We find\nthat the shear modulus does not vanish at the elastic instability, but\ndrops by a factor of 2. We check our predictions in packings of soft\nparticles and study the case of covalent networks and silica, for which\nwe predict omega(IR) approximate to omega(BP). Overall, our approach\nunifies sound attenuation, transport and length scales entering\nelasticity in a single framework where disorder is not the main\nparameter controlling the boson peak, in agreement with observations.\nThis framework leads to a phase diagram where various glasses can be\nplaced, connecting microscopic structure to vibrational properties.","bibtype":"article","author":"DeGiuli, Eric and Laversanne-Finot, Adrien and Duering, Gustavo and Lerner, Edan and Wyart, Matthieu","journal":"SOFT MATTER","number":"30","bibtex":"@article{\n title = {Effects of coordination and pressure on sound attenuation, boson peak and elasticity in amorphous solids},\n type = {article},\n year = {2014},\n identifiers = {[object Object]},\n pages = {5628-5644},\n volume = {10},\n publisher = {ROYAL SOC CHEMISTRY},\n city = {THOMAS GRAHAM HOUSE, SCIENCE PARK, MILTON RD, CAMBRIDGE CB4 0WF, CAMBS, ENGLAND},\n id = {14b7baff-1fec-3044-a672-a2c6afe0e810},\n created = {2015-12-14T17:20:14.000Z},\n file_attached = {false},\n profile_id = {3187ec9d-0fcc-3ba2-91e0-3075df9b18c3},\n group_id = {38390b00-9aad-3d6e-acf3-749e7feee616},\n last_modified = {2017-03-14T13:46:52.169Z},\n read = {false},\n starred = {false},\n authored = {false},\n confirmed = {true},\n hidden = {false},\n citation_key = {ISI:000339670700022},\n source_type = {article},\n user_context = {Article},\n private_publication = {false},\n abstract = {Connectedness and applied stress strongly affect elasticity in solids.\nIn various amorphous materials, mechanical stability can be lost either\nby reducing connectedness or by increasing pressure. We present an\neffective medium theory of elasticity that extends previous approaches\nby incorporating the effect of compression, of amplitude e, allowing one\nto describe quantitative features of sound propagation, transport, the\nboson peak, and elastic moduli near the elastic instability occurring at\na compression e(c). The theory disentangles several frequencies\ncharacterizing the vibrational spectrum: the onset frequency omega(0)\nsimilar to root e(c) - e where strongly-scattered modes appear in the\nvibrational spectrum, the pressure-independent frequency omega(*)\nwhere the density of states displays a plateau, the boson peak frequency\nomega(BP) found to scale as omega(BP) similar to root\nomega(0)omega(*), and the Ioffe-Regel frequency omega(IR) where\nscattering length and wavelength become equal. We predict that sound\nattenuation crosses over from omega(4) to omega(2) behaviour at\nomega(0), consistent with observations in glasses. We predict that a\nfrequency-dependent length scale l(s)(omega) and speed of sound v(omega)\ncharacterize vibrational modes, and could be extracted from scattering\ndata. One key result is the prediction of a flat diffusivity above\nomega(0), in agreement with previously unexplained observations. We find\nthat the shear modulus does not vanish at the elastic instability, but\ndrops by a factor of 2. We check our predictions in packings of soft\nparticles and study the case of covalent networks and silica, for which\nwe predict omega(IR) approximate to omega(BP). Overall, our approach\nunifies sound attenuation, transport and length scales entering\nelasticity in a single framework where disorder is not the main\nparameter controlling the boson peak, in agreement with observations.\nThis framework leads to a phase diagram where various glasses can be\nplaced, connecting microscopic structure to vibrational properties.},\n bibtype = {article},\n author = {DeGiuli, Eric and Laversanne-Finot, Adrien and Duering, Gustavo and Lerner, Edan and Wyart, Matthieu},\n journal = {SOFT MATTER},\n number = {30}\n}","author_short":["DeGiuli, E.","Laversanne-Finot, A.","Duering, G.","Lerner, E.","Wyart, M."],"bibbaseid":"degiuli-laversannefinot-duering-lerner-wyart-effectsofcoordinationandpressureonsoundattenuationbosonpeakandelasticityinamorphoussolids-2014","role":"author","urls":{},"downloads":0},"search_terms":["effects","coordination","pressure","sound","attenuation","boson","peak","elasticity","amorphous","solids","degiuli","laversanne-finot","duering","lerner","wyart"],"keywords":[],"authorIDs":[]}