@article{
 title = {The distribution of forces affects vibrational properties in hard sphere glasses},
 type = {article},
 year = {2014},
 identifiers = {[object Object]},
 keywords = {10003,4 washington place,brito 2,c,center for soft matter,degiuli 1,distribution of forces affects,e,lerner 1,m,new york,new york university,ny,research,sphere glasses,usa and,vibrational properties in hard,wyart 1},
 pages = {1-8},
 volume = {2},
 websites = {http://arxiv.org/abs/1402.3834},
 id = {971c9cde-746c-3063-a309-97c8646c41b3},
 created = {2015-12-14T17:20:10.000Z},
 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 = {true},
 confirmed = {true},
 hidden = {false},
 citation_key = {DeGiuli2014a},
 private_publication = {false},
 abstract = {We study how the distribution of contact forces, known to behave at small forces as $P(f)\sim f^\theta_f$, affects the stability and the vibrational properties of hard sphere glasses. As the jamming transition is approached we predict (i) the density of states $D(\omega)\sim \omega^a$ where $a=(\theta_f-1)/(3+\theta_f)$ and $\omega$ is the frequency, (ii) the shear modulus $\mu\sim (\phi_c-\phi)^-b $ where $b=(4+2\theta_f)/(3+\theta_f)$ and $\phi$ is the packing fraction and (iii) the mean square displacement $\langle \delta R^2\rangle\sim (\phi_c-\phi)^\kappa$, where $\kappa=2-2/(3+\theta_f)$. We test numerically (i) and provide data supporting that $\theta_f\approx 0.17$ independently of the system preparation in two and three dimensions, leading to $\kappa\approx1.37, a \approx -0.26$, and $b \approx 1.37$. Relation (iii) was previously unnoticed but appears to be satisfied in a recent replica calculation in infinite dimension, supporting that this approach captures some vibrational effects very precisely. However, our analysis supports that small and infinite dimension behave differently.},
 bibtype = {article},
 author = {DeGiuli, E. and Lerner, E and Brito, C and Wyart, M},
 journal = {arXiv},
 number = {1}
}

{"_id":"zwF8NZJWaiCYLNKRD","bibbaseid":"degiuli-lerner-brito-wyart-thedistributionofforcesaffectsvibrationalpropertiesinhardsphereglasses-2014","downloads":0,"creationDate":"2015-12-04T17:27:15.897Z","title":"The distribution of forces affects vibrational properties in hard sphere glasses","author_short":["DeGiuli, E.","Lerner, E.","Brito, C.","Wyart, M."],"year":2014,"bibtype":"article","biburl":null,"bibdata":{"title":"The distribution of forces affects vibrational properties in hard sphere glasses","type":"article","year":"2014","identifiers":"[object Object]","keywords":"10003,4 washington place,brito 2,c,center for soft matter,degiuli 1,distribution of forces affects,e,lerner 1,m,new york,new york university,ny,research,sphere glasses,usa and,vibrational properties in hard,wyart 1","pages":"1-8","volume":"2","websites":"http://arxiv.org/abs/1402.3834","id":"971c9cde-746c-3063-a309-97c8646c41b3","created":"2015-12-14T17:20:10.000Z","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":"true","confirmed":"true","hidden":false,"citation_key":"DeGiuli2014a","private_publication":false,"abstract":"We study how the distribution of contact forces, known to behave at small forces as $P(f)\\sim f^\\theta_f$, affects the stability and the vibrational properties of hard sphere glasses. As the jamming transition is approached we predict (i) the density of states $D(\\omega)\\sim \\omega^a$ where $a=(\\theta_f-1)/(3+\\theta_f)$ and $\\omega$ is the frequency, (ii) the shear modulus $\\mu\\sim (\\phi_c-\\phi)^-b $ where $b=(4+2\\theta_f)/(3+\\theta_f)$ and $\\phi$ is the packing fraction and (iii) the mean square displacement $\\langle \\delta R^2\\rangle\\sim (\\phi_c-\\phi)^\\kappa$, where $\\kappa=2-2/(3+\\theta_f)$. We test numerically (i) and provide data supporting that $\\theta_f\\approx 0.17$ independently of the system preparation in two and three dimensions, leading to $\\kappa\\approx1.37, a \\approx -0.26$, and $b \\approx 1.37$. Relation (iii) was previously unnoticed but appears to be satisfied in a recent replica calculation in infinite dimension, supporting that this approach captures some vibrational effects very precisely. However, our analysis supports that small and infinite dimension behave differently.","bibtype":"article","author":"DeGiuli, E. and Lerner, E and Brito, C and Wyart, M","journal":"arXiv","number":"1","bibtex":"@article{\n title = {The distribution of forces affects vibrational properties in hard sphere glasses},\n type = {article},\n year = {2014},\n identifiers = {[object Object]},\n keywords = {10003,4 washington place,brito 2,c,center for soft matter,degiuli 1,distribution of forces affects,e,lerner 1,m,new york,new york university,ny,research,sphere glasses,usa and,vibrational properties in hard,wyart 1},\n pages = {1-8},\n volume = {2},\n websites = {http://arxiv.org/abs/1402.3834},\n id = {971c9cde-746c-3063-a309-97c8646c41b3},\n created = {2015-12-14T17:20:10.000Z},\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 = {true},\n confirmed = {true},\n hidden = {false},\n citation_key = {DeGiuli2014a},\n private_publication = {false},\n abstract = {We study how the distribution of contact forces, known to behave at small forces as $P(f)\\sim f^\\theta_f$, affects the stability and the vibrational properties of hard sphere glasses. As the jamming transition is approached we predict (i) the density of states $D(\\omega)\\sim \\omega^a$ where $a=(\\theta_f-1)/(3+\\theta_f)$ and $\\omega$ is the frequency, (ii) the shear modulus $\\mu\\sim (\\phi_c-\\phi)^-b $ where $b=(4+2\\theta_f)/(3+\\theta_f)$ and $\\phi$ is the packing fraction and (iii) the mean square displacement $\\langle \\delta R^2\\rangle\\sim (\\phi_c-\\phi)^\\kappa$, where $\\kappa=2-2/(3+\\theta_f)$. We test numerically (i) and provide data supporting that $\\theta_f\\approx 0.17$ independently of the system preparation in two and three dimensions, leading to $\\kappa\\approx1.37, a \\approx -0.26$, and $b \\approx 1.37$. Relation (iii) was previously unnoticed but appears to be satisfied in a recent replica calculation in infinite dimension, supporting that this approach captures some vibrational effects very precisely. However, our analysis supports that small and infinite dimension behave differently.},\n bibtype = {article},\n author = {DeGiuli, E. and Lerner, E and Brito, C and Wyart, M},\n journal = {arXiv},\n number = {1}\n}","author_short":["DeGiuli, E.","Lerner, E.","Brito, C.","Wyart, M."],"urls":{"Website":"http://arxiv.org/abs/1402.3834"},"bibbaseid":"degiuli-lerner-brito-wyart-thedistributionofforcesaffectsvibrationalpropertiesinhardsphereglasses-2014","role":"author","keyword":["10003","4 washington place","brito 2","c","center for soft matter","degiuli 1","distribution of forces affects","e","lerner 1","m","new york","new york university","ny","research","sphere glasses","usa and","vibrational properties in hard","wyart 1"],"downloads":0},"search_terms":["distribution","forces","affects","vibrational","properties","hard","sphere","glasses","degiuli","lerner","brito","wyart"],"keywords":["10003","4 washington place","brito 2","c","center for soft matter","degiuli 1","distribution of forces affects","e","lerner 1","m","new york","new york university","ny","research","sphere glasses","usa and","vibrational properties in hard","wyart 1"],"authorIDs":[]}