Scholarly Works, Center for Stochastic Processes in Science and Engineering (CSPISE)

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Browsing Scholarly Works, Center for Stochastic Processes in Science and Engineering (CSPISE) by Subject "conservative dynamics"

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    Field-induced vacancy localization in a driven lattice gas: Scaling of steady states
    Thies, M.; Schmittmann, Beate (American Physical Society, 2000-01)
    With the help of Monte Carlo simulations and a mean-field theory, we investigate the ordered steady-state structures resulting from the motion of a single vacancy on a periodic lattice which is filled with two species of oppositely "charged" particles. An external field biases particle-vacancy exchanges according to the particle's charge, subject to an excluded volume constraint. The steady state exhibits charge segregation, and the vacancy is localized at one of the two characteristic interfaces. Charge and hole density profiles, an appropriate order parameter, and the interfacial regions themselves exhibit characteristic scaling properties with system size and field strength. The lattice spacing is found to play a significant role within the mean-field theory.
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    Viability of competing field theories for the driven lattice gas
    Schmittmann, Beate; Janssen, H. K.; Täuber, Uwe C.; Zia, Royce K. P.; Leung, K. T.; Cardy, J. L. (American Physical Society, 2000-05)
    It has recently been suggested that the driven lattice gas should be described by an alternate held theory in the limit of infinite drive. We review the original and the alternate field theory, invoking several well-documented key features of the microscopics. Since the alternate field theory fails to reproduce these characteristics, we argue that it cannot serve as a viable description of the driven lattice gas. Recent results, for the critical exponents associated with this theory, are reanalyzed and shown to be incorrect.