Title page for ETD etd-5637112239721111


Type of Document Dissertation
Author Korniss, Gyorgy
URN etd-5637112239721111
Title Non-equilibrium Phase Transitions and Steady States in Biased Diffusion of Two Species
Degree PhD
Department Physics
Advisory Committee
Advisor Name Title
Heflin, James R.
Indebetouw, Guy J.
Williams, Clayton D.
Zia, Royce K. P.
Schmittmann, Beate Committee Chair
Keywords
  • order-disorder transition
  • monte carlo simulations
  • continuum field theory
  • driven lattice gas
Date of Defense 1997-04-21
Availability unrestricted
Abstract
We investigate the dynamics of a three-state stochastic lattice gas, consisting of holes and two oppositely "charged" species of particles, under the influence of an "electric" field, at zero total charge. Interacting only through an excluded volume constraint, particles can hop to nearest neighbor empty sites, but particle-particle exchange between oppositely charged particles is also allowed on a separate time scale. Controlled by this relative time scale, particle density and drive, the system orders into a charge-segregated state. Using a combination of Monte Carlo simulations and continuum fi eld theory techniques, we study the order of these transitions and map out the steady state phase diagram of the system. On a single sheet of transitions, a line of multicritical points is found, separating the first order and continuous transitions. Furthermore, we study the steady-state structure factors in the disordered phase where homogeneous confi gurations are stable against small harmonic perturbations. The average structure factors show a discontinuity singularity at the origin which in real space predicts an intricate crossover between power laws of diff erent kinds. We also seek for generic statistical properties of these quantities. The probability distributions of the structure factors are universal asymmetric exponential distributions.

This research was supported in part by grants from the National Science Foundation

through the Division of Materials Research.

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