Type of Document Master's Thesis Author Thies, Michael Author's Email Address firstname.lastname@example.org URN etd-81198-19472 Title Scaling of Steady States in a Simple Driven Three-State Lattice Gas Degree Master of Science Department Physics Advisory Committee
Advisor Name Title Schmittmann, Beate Committee Chair Heflin, James R. Committee Member Zia, Royce K. P. Committee Member Keywords
- Mean-Field Theo ry
- Driven Lattice Gas
- Monte Carlo Simulation
Date of Defense 1998-09-09 Availability unrestricted AbstractPhase segregated states in a simple three-state stochastic lattice gas
are investigated. A two dimensional finite lattice with periodic boundary
conditions is filled with one hole and two oppositely "charged" species
of particles, subject to an excluded volume constraint. Starting from a
completely disordered initial configuration, a sufficiently large external
"electric" field E induces the phase segregation, by separating
the charges into two strips and "trapping" the hole at an interface between them.
Focusing on the steady state, the scaling properties of an appropriate
order parameter, depending on drive and system size, are investigated by
mean-field theory and Monte Carlo methods. Density profiles of the two interfaces in
the ordered system are studied with the help of Monte Carlo simulations and
are found to scale in the field-dependent variable,
e = 2 tanh E /2), for E less than or greater to 0.8.
For larger values of E, independent approximations of the interfacial profiles, obtained within the framework
of mean-field theory, exhibit significant deviations from the Monte Carlo
data. Interestingly, the deviations can be reduced significantly by a slight
modification of the mean-field theory.
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