Hypostatic Jammed Packings of Nonspherical Hard Particles: Ellipses and Ellipsoids
نویسندگان
چکیده
Aleksandar Donev, 2 Robert Connelly, Frank H. Stillinger, and Salvatore Torquato 2, 4, 5, ∗ Program in Applied and Computational Mathematics, Princeton University, Princeton NJ 08544 PRISM, Princeton University, Princeton NJ 08544 Department of Mathematics, Cornell University, Ithaca NY 14853 Department of Chemistry, Princeton University, Princeton NJ 08544 Princeton Center for Theoretical Physics, Princeton University, Princeton NJ 08544
منابع مشابه
Underconstrained jammed packings of nonspherical hard particles: ellipses and ellipsoids.
Continuing on recent computational and experimental work on jammed packings of hard ellipsoids [Donev, Science 303, 990 (2004)] we consider jamming in packings of smooth strictly convex nonspherical hard particles. We explain why an isocounting conjecture, which states that for large disordered jammed packings the average contact number per particle is twice the number of degrees of freedom per...
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We perform computational studies of static packings of a variety of nonspherical particles including circulo-lines, circulo-polygons, ellipses, asymmetric dimers, dumbbells, and others to determine which shapes form packings with fewer contacts than degrees of freedom (hypostatic packings) and which have equal numbers of contacts and degrees of freedom (isostatic packings), and to understand wh...
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Aleksandar Donev, 2 Robert Connelly, Frank H. Stillinger, and Salvatore Torquato 2, 4, 5, ∗ Program in Applied and Computational Mathematics, Princeton University, Princeton NJ 08544 PRISM, Princeton University, Princeton NJ 08544 Department of Mathematics, Cornell University, Ithaca NY 14853 Department of Chemistry, Princeton University, Princeton NJ 08544 Princeton Center for Theoretical Phys...
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