Title page for ETD etd-5598-11241


Type of Document Dissertation
Author Anderson, Mark Jule Jr.
Author's Email Address marklinda@compuserve.com
URN etd-5598-11241
Title Cooperative Behavior in Driven Lattice Systems with Shifted Periodic Boundary Conditions
Degree PhD
Department Physics
Advisory Committee
Advisor Name Title
de Wolf, David A.
Heflin, James R.
Schmittmann, Beate
Williams, Clayton D.
Zia, Royce K. P. Committee Chair
Keywords
  • Monte-Carlo Simulations
  • Lattice Gas
  • Non-equilibrium steady states
Date of Defense 1998-04-17
Availability unrestricted
Abstract
We explore the nature of driven stochastic lattice systems with non-periodic

boundary conditions. The systems consist of particle and holes which move by

exchanges of nearest neighbor particle-hole pairs. These exchanges are

controlled by the energetics associated with an internal Hamiltonian, an

external drive and a stochastic coupling to a heat reservoir. The effect of

the drive is to bias particle-hole exchanges along the field in such a way

that a particle current can be established. Hard-core volume constraints

limit the occupation of only one particle (hole) per lattice site. For

certain regimes of the overall particle density and temperature, a system

displays a homogeneous disordered phase. We investigate cooperative behavior

in this phase by using two-point spatial correlation functions and structure

factors. By varying the particle density and the temperature, the system

orders into a phase separated state, consisting of particle-rich and

particle-poor regions. The temperature and density for the co-existence

state depend on the boundary conditions. By using Monte Carlo simulations,

we establish co-existence curves for systems with shifted periodic boundary

conditions.

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