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 Beate Schmittmann Committee Chair Clayton D. Williams none Guy J. Indebetouw none James R. Heflin none Royce K. P. Zia none
Keywords	driven lattice gas order-disorder transition monte carlo simulations continuum field theory
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 field 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 configurations 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 different kinds. We also seek for generic statistical properties of these quantities. The probability distributions of the structure factors are universal asymmetric exponential distributions.
Files	Filename       Size       Approximate Download Time (Hours:Minutes:Seconds)     28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access    etd.pdf 1.72 Mb 00:07:56 00:04:05 00:03:34 00:01:47 00:00:09   korniss.pdf 1.72 Mb 00:07:56 00:04:05 00:03:34 00:01:47 00:00:09

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