Theoretical and Simulation Studies of a Driven Diffusive System
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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.
- Doctoral Dissertations