Phase transitions in driven diffusive systems far from equilibrium

Szavits Nossan, Juraj (2011) Phase transitions in driven diffusive systems far from equilibrium. Doctoral thesis, Faculty of Science > Department of Physics.

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Abstract

Nonequilibrium phase transitions are studied in several proposed generalizations of the asymmetric simple exclusion process (ASEP). ASEP is a simple model belonging to the class of so-called driven diffusive systems maintained far from equilibrium by external field and nonequilibrium boundary conditions. We propose a generalization of ASEP that replaces short-range with long-range hopping, where hopping length l is taken from the probability distribution that follows a power law pι α ι−(1+σ) with σ > 1. Although the resulting phase diagram remains the same, we observe changes both at the first- and the second-order transition lines for 1 < σ < 2, while the short-range limit sets in for σ > 2. Using the same model we also address the long-standing question of whether a “slow” site in ASEP always induces phase separation. By including a “slow” site in the long-range model we show that the transition to the non-separated phase is possible and we find the exact transition point. In the case of finite concentration of defects (i.e. disorder), we show that contrary to the onedimensional case where disorder always induces phase separation, in the two-dimensional ASEP a regime exists in which phase separation is absent.

Item Type: Thesis (Doctoral thesis)
Keywords: driven diffusive systems ; stationary states ; phase diagrams ; defects ; disordered systems
Supervisor: Uzelac, Katarina
Date: 20 October 2011
Number of Pages: 118
Subjects: NATURAL SCIENCES > Physics
Divisions: Faculty of Science > Department of Physics
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 21 Dec 2013 23:39
Last Modified: 21 Dec 2013 23:39
URI: http://digre.pmf.unizg.hr/id/eprint/44

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