Cooperative Behavior in Driven Lattice Systems with Shifted Periodic Boundary Conditions

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.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Physics

Department dc:contributor.department

Physics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

1998

Author dc:creator

• Anderson, Mark Jule

Chair dc:contributor.committeechair

• Zia, Royce K. P.

Committee members dc:contributor.committeemember

• Heflin, James R.
• Schmittmann, Beate
• Williams, Clayton D.
• de Wolf, David A.

• Monte-Carlo Simulations
• Lattice Gas
• Non-equilibrium steady states

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

etd-5598-11241

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/30606