Nearest-neighbor statistics in a one-dimensional random sequential adsorption process

Journal Article · Mon Jan 01 04:00:00 EST 1996 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.53.450· OSTI ID:283630

Rintoul, M D; Torquato, S ^[1]; Tarjus, G ^[2]

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1. Princeton Materials Institute and Department of Civil Engineering Operations Research, Princeton University, Princeton, New Jersey 08540 (United States)
2. Laboratoire de Physique Theorique des Liquides, Universite Pierre et Marie Curie, 4 place Jussieu, 75252 Paris Cedex 05 (France)

The probability of finding a nearest neighbor at some radial distance from a reference point in many-particle systems is of fundamental importance in a host of fields in the physical as well as biological sciences. We have derived exact analytical expressions for nearest-neighbor probability functions for particles deposited on a line during a random sequential adsorption process for all densities, i.e., up to the jamming limit. Using these results, we find the mean nearest-neighbor distance {lambda} as a function of the packing fraction, and discuss it in light of recent theorems derived for general ergodic and isotropic packings of hard spheres. {copyright} {ital 1996 The American Physical Society.}

• DOE Contract Number: FG02-92ER14275
• OSTI ID: 283630
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 1 Vol. 53; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ADSORPTION
INTERATOMIC DISTANCES
NEAREST NEIGHBOR APPROXIMATION
ONE-DIMENSIONAL CALCULATIONS
PARTICLE PROPERTIES
PROBABILITY