Density fluctuations in many-body systems

Journal Article · Tue Dec 01 04:00:00 EST 1998 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.58.7369· OSTI ID:670216

Truskett, T M; Debenedetti, P G ^[1]; Torquato, S ^[2]; Torquato, S ^[3]

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1. Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08544 (United States)
2. Princeton Materials Institute, Princeton University, Princeton, New Jersey 08544 (United States)
3. Department of Civil Engineering and Operations Research, Princeton University, Princeton, New Jersey 08544 (United States)

The characterization of density fluctuations in systems of interacting particles is of fundamental importance in the physical sciences. We present a formalism for studying local density fluctuations in two special subvolumes (centered around either a reference particle or some arbitrary point in the system) termed {ital particle} and {ital void} regions, respectively. We present formal expressions for the probability, as well as the moments, associated with finding exactly {ital n} particles inside of either of these subvolumes. Furthermore, we derive the relationship between the probability functions and closely related quantities of interest, such as the nth nearest-neighbor distribution functions and the {ital n}-particle conditional pair distribution functions associated with each region. We solve for these quantities exactly in the one-dimensional hard-rod system. The methods developed for studying the hard-rod fluid are applicable for studying a wide class of one-dimensional systems. {copyright} {ital 1998} {ital The American Physical Society}

• OSTI ID: 670216
• 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: 6 Vol. 58; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DENSITY
DISTRIBUTION FUNCTIONS
FLUCTUATIONS
HARD-SPHERE MODEL
MANY-BODY PROBLEM
STATISTICAL MECHANICS