Stability of jammed packings I: the rigidity length scale
In 2005, Wyart et al.[Europhys. Lett., 2005, 72, 486] showed that the low frequency vibrational properties of jammed amorphous sphere packings can be understood in terms of a length scale, called l*, that diverges as the system becomes marginally unstable. Despite the tremendous success of this theo...
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| Veröffentlicht in: | Soft matter 2013-01, Vol.9 (46), p.10993-10999 |
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| creator | Goodrich, Carl P. Ellenbroek, Wouter G. Liu, Andrea J. |
| description | In 2005, Wyart et al.[Europhys. Lett., 2005, 72, 486] showed that the low frequency vibrational properties of jammed amorphous sphere packings can be understood in terms of a length scale, called l*, that diverges as the system becomes marginally unstable. Despite the tremendous success of this theory, it has been difficult to connect the counting argument that defines l* to other length scales that diverge near the jamming transition. We present an alternate derivation of l* based on the onset of rigidity. This phenomenological approach reveals the physical mechanism underlying the length scale and is relevant to a range of systems for which the original argument breaks down. It also allows us to present the first direct numerical measurement of l*. |
| doi_str_mv | 10.1039/c3sm51095f |
| format | Article |
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Lett., 2005, 72, 486] showed that the low frequency vibrational properties of jammed amorphous sphere packings can be understood in terms of a length scale, called l*, that diverges as the system becomes marginally unstable. Despite the tremendous success of this theory, it has been difficult to connect the counting argument that defines l* to other length scales that diverge near the jamming transition. We present an alternate derivation of l* based on the onset of rigidity. This phenomenological approach reveals the physical mechanism underlying the length scale and is relevant to a range of systems for which the original argument breaks down. 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Lett., 2005, 72, 486] showed that the low frequency vibrational properties of jammed amorphous sphere packings can be understood in terms of a length scale, called l*, that diverges as the system becomes marginally unstable. Despite the tremendous success of this theory, it has been difficult to connect the counting argument that defines l* to other length scales that diverge near the jamming transition. We present an alternate derivation of l* based on the onset of rigidity. This phenomenological approach reveals the physical mechanism underlying the length scale and is relevant to a range of systems for which the original argument breaks down. It also allows us to present the first direct numerical measurement of l*.</description><subject>Breaking down</subject><subject>Counting</subject><subject>Derivation</subject><subject>Jamming</subject><subject>Low frequencies</subject><subject>Rigidity</subject><subject>Stability</subject><issn>1744-683X</issn><issn>1744-6848</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNpFkMtKAzEYRoMoWKsbnyBLEUaTyWUSd1K8FAouVHA3ZJI_09S5maSLvr2Wiq6-b3E4i4PQJSU3lDB9a1nqBSVa-CM0oxXnhVRcHf999nGKzlLaEMIUp3KG9Gs2TehC3uHR443pe3B4MvYzDG3Cyzuc14BjaIPbIx0MbV7jZE0H5-jEmy7Bxe_O0fvjw9viuVi9PC0X96vClpLnQmoqJKsq4A48OK9AUaGMLhW3lFUgfOOaRiswldWmKm1pLWFGEucaRx1jc3R18E5x_NpCynUfkoWuMwOM21RTLrnQQuryB70-oDaOKUXw9RRDb-KupqTe96n_-7Bv-6pY0Q</recordid><startdate>20130101</startdate><enddate>20130101</enddate><creator>Goodrich, Carl P.</creator><creator>Ellenbroek, Wouter G.</creator><creator>Liu, Andrea J.</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20130101</creationdate><title>Stability of jammed packings I: the rigidity length scale</title><author>Goodrich, Carl P. ; Ellenbroek, Wouter G. ; Liu, Andrea J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c264t-69156377e4defedf8e8158a9284c137e5fbdbb98ea7c9a72c2cc03a60ddbd1d33</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Breaking down</topic><topic>Counting</topic><topic>Derivation</topic><topic>Jamming</topic><topic>Low frequencies</topic><topic>Rigidity</topic><topic>Stability</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Goodrich, Carl P.</creatorcontrib><creatorcontrib>Ellenbroek, Wouter G.</creatorcontrib><creatorcontrib>Liu, Andrea J.</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Soft matter</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Goodrich, Carl P.</au><au>Ellenbroek, Wouter G.</au><au>Liu, Andrea J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Stability of jammed packings I: the rigidity length scale</atitle><jtitle>Soft matter</jtitle><date>2013-01-01</date><risdate>2013</risdate><volume>9</volume><issue>46</issue><spage>10993</spage><epage>10999</epage><pages>10993-10999</pages><issn>1744-683X</issn><eissn>1744-6848</eissn><abstract>In 2005, Wyart et al.[Europhys. Lett., 2005, 72, 486] showed that the low frequency vibrational properties of jammed amorphous sphere packings can be understood in terms of a length scale, called l*, that diverges as the system becomes marginally unstable. Despite the tremendous success of this theory, it has been difficult to connect the counting argument that defines l* to other length scales that diverge near the jamming transition. We present an alternate derivation of l* based on the onset of rigidity. This phenomenological approach reveals the physical mechanism underlying the length scale and is relevant to a range of systems for which the original argument breaks down. It also allows us to present the first direct numerical measurement of l*.</abstract><doi>10.1039/c3sm51095f</doi><tpages>7</tpages></addata></record> |
| fulltext | fulltext |
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| ispartof | Soft matter, 2013-01, Vol.9 (46), p.10993-10999 |
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| language | eng |
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| source | Royal Society Of Chemistry Journals 2008-; Alma/SFX Local Collection |
| subjects | Breaking down Counting Derivation Jamming Low frequencies Rigidity Stability |
| title | Stability of jammed packings I: the rigidity length scale |
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