One-Dimensional model of hard rods with gravitational interactions

The study of one-dimensional hard rods with gravitational interactions was made by means of the isobaric and the canonical ensembles. The canonical partition function was obtained from the isobaric partition function by taking the inverse Laplace transform. The explicit closed forms for the canonica...

Full description

Saved in:
Bibliographic Details
Published in:Journal of the Korean Physical Society 2017, 70(7), , pp.673-681
Main Authors: Jang, Seanea, Shin, Ghi Ryang, Kim, Soon-Chul
Format: Article
Language:English
Subjects:
Distribution functions
Free energy
Gravitation
Laplace transforms
Mathematical and Computational Physics
One dimensional models
Particle and Nuclear Physics
Particle density (concentration)
Partitions
Phase transitions
Physics
Physics and Astronomy
Rods
Stress concentration
Theoretical
Wall pressure
Walls
물리학
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The study of one-dimensional hard rods with gravitational interactions was made by means of the isobaric and the canonical ensembles. The canonical partition function was obtained from the isobaric partition function by taking the inverse Laplace transform. The explicit closed forms for the canonical particle density and the higher-order molecular distribution functions were determined. The wall pressures, where the force exerted on the fluid by the walls, were obtained from both the partial derivative of the free energy with respect to the position of the walls and the contact value of the density determined from the one-particle density at the walls. The wall pressure implies that the hard rods with a gravitational interaction do not exhibit a phase transition. The partition function and the molecular distribution functions in the grand canonical ensemble are also reported.
ISSN:0374-4884
1976-8524
DOI:10.3938/jkps.70.673