{"month":"10","type":"preprint","date_published":"2015-10-29T00:00:00Z","publication_status":"published","citation":{"mla":"Goodrich, Carl Peter. “Unearthing the Anticrystal: Criticality in the Linear Response of  Disordered Solids.” <i>ArXiv:1510.08820</i>, 2015.","apa":"Goodrich, C. P. (2015). Unearthing the anticrystal: Criticality in the linear response of  disordered solids. <i>arXiv:1510.08820</i>.","short":"C.P. Goodrich, ArXiv:1510.08820 (2015).","ama":"Goodrich CP. Unearthing the anticrystal: Criticality in the linear response of  disordered solids. <i>arXiv:151008820</i>. 2015.","chicago":"Goodrich, Carl Peter. “Unearthing the Anticrystal: Criticality in the Linear Response of  Disordered Solids.” <i>ArXiv:1510.08820</i>, 2015.","ista":"Goodrich CP. 2015. Unearthing the anticrystal: Criticality in the linear response of  disordered solids. arXiv:1510.08820, .","ieee":"C. P. Goodrich, “Unearthing the anticrystal: Criticality in the linear response of  disordered solids,” <i>arXiv:1510.08820</i>. 2015."},"author":[{"orcid":"0000-0002-1307-5074","full_name":"Goodrich, Carl Peter","id":"EB352CD2-F68A-11E9-89C5-A432E6697425","last_name":"Goodrich","first_name":"Carl Peter"}],"article_processing_charge":"No","language":[{"iso":"eng"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","extern":"1","status":"public","year":"2015","external_id":{"arxiv":["1510.08820"]},"publication":"arXiv:1510.08820","abstract":[{"lang":"eng","text":"The fact that a disordered material is not constrained in its properties in\r\nthe same way as a crystal presents significant and yet largely untapped\r\npotential for novel material design. However, unlike their crystalline\r\ncounterparts, disordered solids are not well understood. One of the primary\r\nobstacles is the lack of a theoretical framework for thinking about disorder\r\nand its relation to mechanical properties. To this end, we study an idealized\r\nsystem of frictionless athermal soft spheres that, when compressed, undergoes a\r\njamming phase transition with diverging length scales and clean power-law\r\nsignatures. This critical point is the cornerstone of a much larger \"jamming\r\nscenario\" that has the potential to provide the essential theoretical\r\nfoundation necessary for a unified understanding of the mechanics of disordered\r\nsolids. We begin by showing that jammed sphere packings have a valid linear\r\nregime despite the presence of \"contact nonlinearities.\" We then investigate\r\nthe critical nature of the transition, focusing on diverging length scales and\r\nfinite-size effects. Next, we argue that jamming plays the same role for\r\ndisordered solids as the perfect crystal plays for crystalline solids. Not only\r\ncan it be considered an idealized starting point for understanding disordered\r\nmaterials, but it can even influence systems that have a relatively high amount\r\nof crystalline order. The behavior of solids can thus be thought of as existing\r\non a spectrum, with the perfect crystal and the jamming transition at opposing\r\nends. Finally, we introduce a new principle wherein the contribution of an\r\nindividual bond to one global property is independent of its contribution to\r\nanother. This principle allows the different global responses of a disordered\r\nsystem to be manipulated independently and provides a great deal of flexibility\r\nin designing materials with unique, textured and tunable properties."}],"date_updated":"2021-01-12T08:15:28Z","day":"29","oa":1,"title":"Unearthing the anticrystal: Criticality in the linear response of  disordered solids","_id":"7779","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1510.08820"}],"oa_version":"Preprint","page":"242","date_created":"2020-04-30T12:16:18Z"}