Packing fraction and measures of disorder of ultradense irregular packings of equal spheres. II. Transition from dense random packing

Cipra, 1998, Packing challenge mastered at last, Science, 281, 1267, 10.1126/science.281.5381.1267 Woodcock, 1997, Entropy difference between the face-centredcubic and hexagonal close-packed crystal structures, Nature, 385, 141, 10.1038/385141a0 Bernal, 1959, A geometrical approach to the structure of liquids, Nature, 183, 141, 10.1038/183141a0 Scott, 1964, The density of random close packing of spheres, Br. J. Appl. Phys., 2, 863 Finney, 1970, Random packing and the structure of simple liquids, Proc. Roy. Soc. A, 319, 470 Gamba, 1975, Random packing of equal spheres, Nature, 256, 521, 10.1038/256521c0 Jodrey, 1981, Computer simulation of isotropic, homogeneous, dense random packing of equal spheres, Powder Technol., 30, 111, 10.1016/0032-5910(81)80003-4 Tory, 1983, Comments on some types of random packing, Vol. 1, 75 Jodrey, 1985, Computer simulation of close random packing of equal spheres, Phys. Rev. A, 32, 2347, 10.1103/PhysRevA.32.2347 Mościński, 1989, The force-biased algorithm for the irregular close packing of equal hard spheres, Mol. Simulation, 3, 201, 10.1080/08927028908031373 Bernal, 1964, Growth of crystals from random close packing, Nature, 202, 852, 10.1038/202852a0 Bernal, 1967, Random packing of spheres in non-rigid containers, Nature, 214, 265, 10.1038/214265a0 Pouliquen, 1997, Crystallization of non-Brownian spheres under horizontal shaking, Phys. Rev. Lett., 79, 3640, 10.1103/PhysRevLett.79.3640 Bargieø, 1993, Packing fraction and measures of disorder of ultradense irregular packings of equal spheres. I. Nearly ordered packing, Advanced Powder Technol., 4, 79, 10.1163/156855293X00097 Stakgold, 1979, 237 Barnsley, 1988 Parzen, 1962, 32 Aurenhammer, 1991, Voronoidiagrams — A surveyof a fundamental geometric data structure, ACM Comp. Surv., 23, 345, 10.1145/116873.116880