Abstract
The equation of state and the collision rate for systems ranging in size from four to 500 particles are described. The dependence of the results on the number of particles is qualitatively discussed and in this way insight is gained as to what is required of more accurate analytical theories. By comparing the results to various analytical theories now available their region of validity is established. The number of particles necessary at various densities to obtain a quantitative description of the equilibrium properties is delineated. Whether a first-order phase transition exists for hard spheres remains open until larger systems are investigated.
Keywords
SPHERESStatistical physicsHard spheresCollisionDynamics (music)Phase transitionPhysicsOrder (exchange)Classical mechanicsEquation of stateTheoretical physicsThermodynamicsComputer science
Affiliated Institutions
Related Publications
Studies in Molecular Dynamics. IV. The Pressure, Collision Rate, and Their Number Dependence for Hard Disks
The pressure for four, 12, and 72 hard disks determined dynamically from the virial theorem or the collision rate is shown to be identical to that determined by the Monte Carlo ...
Computer "Experiments" on Classical Fluids. II. Equilibrium Correlation Functions
Equilibrium correlation functions for a dense classical fluid are obtained by integrating the equation of motion of a system of 864 particles interacting through a Lennard-Jones...
Molecular dynamics simulations at constant pressure and/or temperature
In the molecular dynamics simulation method for fluids, the equations of motion for a collection of particles in a fixed volume are solved numerically. The energy, volume, and n...
Observability of acoustical and optical localization
A ``pseudosphere'' approximation is introduced to describe quantitatively the localization of acoustic and optic waves. The localization length \ensuremath{\xi} is obtained in t...
Constant temperature molecular dynamics calculation on Lennard-Jones fluid and its application to watera)
Constant temperature molecular dynamics calculation has been carried out on Lennard-Jones liquid simulating argon. This method, proposed recently by Andersen, intends to transfo...
Publication Info
- Year
- 1960
- Type
- article
- Volume
- 33
- Issue
- 5
- Pages
- 1439-1451
- Citations
- 801
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
801
OpenAlex
Cite This
B. J. Alder,
T. E. Wainwright
(1960).
Studies in Molecular Dynamics. II. Behavior of a Small Number of Elastic Spheres.
The Journal of Chemical Physics
, 33
(5)
, 1439-1451.
https://doi.org/10.1063/1.1731425
Identifiers
- DOI
- 10.1063/1.1731425