Random close packing fractions of lognormal distributions of hard spheres

R. Farr

Powder Technology 245, 28 (2013)


Download the PDF

LQ placeholderLognormal distributions (and mixtures of same) are a useful model for the size distribution in emulsions and sediments.

Lognormal distributions (and mixtures of same) are a useful model for the size distribution in emulsions and sediments.

We apply a recent one-dimensional algorithm for predicting random close packing fractions of poly-disperse hard spheres [Farr and Groot, J. Chem. Phys. 133, 244104 (2009)] to the case of lognormal distributions of sphere sizes and mixtures of such populations. We show that the results compare well to two much slower algorithms for directly simulating spheres in three dimensions, and show that the algorithm is fast enough to tackle inverse problems in particle packing: designing size distributions to meet required criteria. The one-dimensional method used in this paper is implemented as a computer code in the C programming language, available at http://sourceforge.net/projects/spherepack1d/ under the terms of the GNU general public licence (version 2).

LQ placeholder

Scale of non-locality for a system of n particles

S. Talaganis, I. Teimouri

Sub. to Physical Review D

LQ placeholder

How much can we influence the rate of innovation?

T. Fink, M. Reeves

Science Advances

LQ placeholder

The statistical physics of real-world networks

G. Cimini, T. Squartini, F. Saracco, D. Garlaschelli, A. Gabrielli, G. Caldarelli

Nature Reviews Physics

LQ placeholder

On defining the Hamiltonian beyond quantum theory

D. Branford, O. Dahlsten, A. Garner

Foundations of Physics

LQ placeholder

Reconstructing grain-shape statistics from electron back-scatter diffraction microscopy

R. Farr, Z. Vukmanovic, M. Holness, E. Griffiths

Physical Review Materials

LQ placeholder

Tackling information asymmetry in networks: a new entropy-based ranking index

P. Barucca, G. Caldarelli, T. Squartini

Journal of Statistical Physics

LQ placeholder

Eigenvalues of subgraphs of the cube

B. Bollobás, J. Lee, S. Letzter

European Journal of Combinatorics

LQ placeholder

Maximum one-shot dissipated work from Rényi divergences

N. Halpern, A. Garner, O. Dahlsten, V. Vedral

Physical Review E

123 / 123 papers