The Force-Biased Algorithm for the Irregular Close Packing of Equal Hard Spheres

Moscinski, Jacek; Bargieł, Monika; Rycerz, Z. A.; Jacobs, P. W. M.

doi:10.1080/08927028908031373

Cited by 85 publications

(79 citation statements)

References 13 publications

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“…The particles in [ 12] were not in perfect contact (unlike experimental structures); the average coordination number (defined via surface neighboring within 10 2a) was about 5.4, instead of being slightly above the true value 6. More discouragingly, it was shown in [ 19] for the same order of particle number (N = 1000) that a much slower contraction of the outer diameter results in appreciably higher packing density, up to 0.649-0.650 (see also [23 ] ). Our calculations using the algorithm [ 19] suggests even a higher packing density, at least 0.666 in the limit k~0, N--*~ (see Section 3).…”

Section: Introductionmentioning

confidence: 95%

Algorithm for Random Close Packing of Spheres with Periodic Boundary Conditions

Zinchenko¹

1994

Journal of Computational Physics

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Section: Introductionmentioning

confidence: 95%

Algorithm for Random Close Packing of Spheres with Periodic Boundary Conditions

Zinchenko¹

1994

Journal of Computational Physics

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“…Whilst prohibiting crystal nucleation, such a process also misses the 'window' of re-equilibration to access RCP. There is a growing literature [58][59][60] of similar such processes. Some of these 'simulation' phenomena may have no experimental counterpart, and exist only within a computer.…”

Section: Irreversiblementioning

confidence: 99%

“…Such structures resulting from essentially athermal processes have no thermodynamic description. Moreover, they may not meet the same criteria for 'jammed' states, as defined by different compaction processes [58][59][60][61][62]. Beyond around k 1 = 100 the algorithm equations (5)- (8) becomes unstable near close packing when many collision times in equation (8) become less than the smallest precision of the compiler.…”

Section: Irreversiblementioning

confidence: 99%

Renaissance of Bernal's random close packing and hypercritical line in the theory of liquids

Finney

Woodcock

2014

J. Phys.: Condens. Matter

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We review the scientific history of random close packing (RCP) of equal spheres, advocated by J D Bernal as a more plausible alternative to the non-ideal gas or imperfect crystal as a structural model of simple liquids. After decades of neglect, computer experiments are revealing a central role for RCP in the theory of liquids. These demonstrate that the RCP amorphous state of hard spheres can be well defined, is reproducible, and has the thermodynamic status of a metastable ground state. Further evidence from simulations of square-well model liquids indicates an extended role of RCP as an amorphous ground state that terminates a supercooled liquid coexistence line, suggesting likewise for real liquids. A phase diagram involving percolation boundaries has been proposed in which there is no merging of liquid and gas phases, and no critical singularity as assumed by van der Waals. Rather, the liquid phase continuously spans all temperatures, but above a critical dividing line on the Gibbs density surface, it is bounded by a percolation transition and separated from the gas phase by a colloidal supercritical mesophase. The colloidal-like inversion in the mesophase as it changes from gas-in-liquid to liquid-in-gas can be identified with the hypercritical line of Bernal. We therefore argue that the statistical theory of simple liquids should start from the RCP reference state rather than the ideal gas. Future experimental priorities are to (i) find evidence for an amorphous ground state in real supercooled liquids, (ii) explore the microscopic structures of the supercritical mesophase, and (iii) determine how these change from gas to liquid, especially across Bernal's hypercritical line. The theoretical priority is a statistical geometrical theory of RCP. Only then might we explain the coincident values of the RCP packing fraction with Buffon's constant, and the RCP residual entropy with Boltzmann's ideal gas constant.

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“…Since the introduction of physical methods for DEM in rock mechanics by Cundall and Strack (1979), also many systems have been developed world-wide in concrete technology; in many cases however this was accomplished for specific and thus restricted purposes. Reference can be given to Jodrey and Torey (1981), Ansell and Dickinson (1986), Mościński et al (1989), Bentz et al (1993), O'Connor et al (1997); Stroeven (1999), Tsunekawa and Iwashita (2001), Puri and Uomoto (2002), Williams and Philipse (2003), Li et al (2006) and Markauskas and Kačia-nauskas (2006). Relevant discussion on this issue can be found in Stroeven et al (2009)…”

Section: Introductionmentioning

confidence: 99%

Porosimetry by Random Node Structuring in Virtual Concrete

Stroeven¹,

Le²,

Sluys³

et al. 2012

Image Anal Stereol

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Two different porosimetry methods are presented in two successive papers. Inspiration for the development came from the rapidly-exploring random tree (RRT) approach used in robotics. The novel methods are applied to virtual cementitious materials produced by a modern concurrent algorithm-based discrete element modeling system, HADES. This would render possible realistically simulating all aspects of particulate matter that influence structure-sensitive features of the pore network structure in maturing concrete, namely size, shape and dispersion of the aggregate and cement particles. Pore space is a complex tortuous entity. Practical methods conventionally applied for assessment of pore size distribution may fail or present biased information. Among them, mercury intrusion porosimetry and 2D quantitative image analysis are popular. The mathematical morphology operator "opening" can be applied to sections and even provide 3D information on pore size distribution, provided isotropy is guaranteed. However, aggregate grain surfaces lead to anisotropy in porosity. The presented methods allow exploration of pore space in the virtual material, after which pore size distribution is derived from star volume measurements. In addition to size of pores their continuity is of crucial importance for durability estimation. Doublerandom multiple tree structuring (DRaMuTS), introduced earlier in this journal and random node structuring (RaNoS) provide such information.

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The Force-Biased Algorithm for the Irregular Close Packing of Equal Hard Spheres

Cited by 85 publications

References 13 publications

Algorithm for Random Close Packing of Spheres with Periodic Boundary Conditions

Algorithm for Random Close Packing of Spheres with Periodic Boundary Conditions

Renaissance of Bernal's random close packing and hypercritical line in the theory of liquids

Porosimetry by Random Node Structuring in Virtual Concrete

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