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	Doctor of Philosophy
Department	Physics
Advisory Committee	Advisor Name Title B. Schmittmann C.D. Williams D.A. de Wolf J.R. Heflin R.K.P. Zia 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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