Title page for ETD etd-81198-19472


Type of Document Master's Thesis
Author Thies, Michael
Author's Email Address m.thies@tu-bs.de
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
  • Scaling
Date of Defense 1998-09-09
Availability unrestricted
Abstract
Phase 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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