Title page for ETD etd-02102000-11380016


Type of Document Dissertation
Author Rudzinsky, Michael Steven
Author's Email Address RudzinskyMS@nswc.navy.mil, MRudzinsky@aol.com
URN etd-02102000-11380016
Title Theoretical and Simulation Studies of a Driven Diffusive System
Degree PhD
Department Physics
Advisory Committee
Advisor Name Title
Zia, Royce K. P. Committee Chair
Keywords
  • lattice gas
  • non-equilibrium steady states
  • Monte Carlo simulations
Date of Defense 2000-02-04
Availability unrestricted
Abstract
We explore steady-state properties of a driven lattice gas, which is a simple model of

interacting many-particle systems, driven far from equilibrium by an external field. First,

we study a system on a square lattice with periodic boundary conditions (PBC) along

both principal lattice axes, while the drive acts along only one of these axes. For such

systems, we analyze the full distribution of structure factors. Next, we investigate the

effects of imposing other boundary conditions on the system. In particular, we focus on

models with shifted periodic boundary conditions (SPBC) along one axis and open

boundary conditions (OBC) along the other axis. The OBC allow us to have a steady flux

of particles through the system while the SPBC permits us to drive the system in a range

of possibilities. Using Monte Carlo simulation techniques, we discover a rich variety of

phenomena, especially at low temperatures. A continuum theory for the densities, based

on Langevin equations, is formulated and its predictions compared to simulation data.

Many large scale properties are described successfully.

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