Title page for ETD etd-11242009-020125
|Type of Document
||Gregory, Victor Paul
||Monte Carlo computer simulation of sub-critical Lennard-Jones particles
||Master of Science
|Schug, John C.
|Marand, Hervé L.
|Schick, G. Alan
|Date of Defense
Cluster characteristics of the 3D Lennard-Jones, LJ, fluid are determined by
Metropolis Monte Carlo computer simulations. The percolation probability and
cluster distribution is calculated for several state points in the gas-liquid equilibrium
region of the LJ fluid. The cluster number distribution is used to analyze the
distribution of clusters above and below the percolation threshold. Using scaling
theory, the critical exponent, Ď„, is determined from the cluster distributions.
Deviation from the scaling law is evaluated using a modified scaling law that includes
a surface term. It is found that the surface term is unnecessary in the gas-like area of
the phase diagram. The density profiles of large non-percolating clusters are
calculated in order to study the surface structure of the clusters. The coordination
number within a cluster is calculated directly in the simulation and, with the cluster
energy, is used to discern the amount of "liquid-like" structure of the cluster. The
radius of gyration, R g, as a function of cluster size determines the fractal dimension,
D f of the non-percolating and clusters above and below the percolation threshold
density. Finite size effects are briefly studied and presented for a few of points.
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