Abstract
The probability of finding a nearest neighbor at some radial distance from a given particle in a system of interacting particles is of fundamental importance in a host of fields in the physical as well as biological sciences. A procedure is developed to obtain analytical expressions for nearest-neighbor probability functions for random isotropic packings of hard D-dimensional spheres that are accurate for all densities, i.e., up to the random close-packing fraction. Using these results, the mean nearest-neighbor distance λ as a function of the packing fraction is computed for such many-body systems and compared to rigorous bounds on λ derived here. Our theoretical results are found to be in excellent agreement with available computer-simulation data.
Original language | English (US) |
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Pages (from-to) | 3170-3182 |
Number of pages | 13 |
Journal | Physical Review E |
Volume | 51 |
Issue number | 4 |
DOIs | |
State | Published - 1995 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics