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An exact solution of a one-dimensional asymmetric exclusion model with open boundaries
A simple asymmetric exclusion model with open boundaries is solved exactly in one dimension. The exact solution is obtained by deriving a recursion relation for the steady state: if the steady state
Why is the DNA denaturation transition first order?
The phase transition is found to be first order in d = 2 dimensions and above, in agreement with experiments and at variance with previous theoretical results, in which only excluded-volume interactions within denaturated loops were taken into account.
Department of Physics of Complex Systems, The Weizmann Institute of Science, Rehovot 76100, Israel(February 7, 2008)A driven diffusive model of three types of particles that exhibits phase separation
Asymmetric exclusion model with two species: Spontaneous symmetry breaking
A simple two-species asymmetric exclusion model is introduced. It consists of two types of oppositely charged particles driven by an electric field and hopping on an open chain. The phase diagram of
Inequivalence of ensembles in a system with long-range interactions.
The global phase diagram of the infinite-range Blume-Emery-Griffiths model is studied both in the canonical and in the microcanonical ensembles to find that below the tricritical point, when the canonical transition is first order, the phase diagrams of the two ensemble disagree.
Melting and unzipping of DNA
This study takes into account in an approximate way the excluded-volume interaction between denaturated loops and the rest of the chain by exploiting recent results on scaling properties of polymer networks of arbitrary topology and obtains a first-order melting transition in d = 2 dimensions and above.
Phase Separation and Coarsening in One-Dimensional Driven Diffusive Systems: Local Dynamics Leading to Long-Range Hamiltonians
A driven system of three species of particles diffusing on a ring is studied in detail. The dynamics is local and conserves the three densities. A simple argument suggesting that the model should
Phase Diagram of the ABC Model on an Interval
The three species asymmetric ABC model was initially defined on a ring by Evans, Kafri, Koduvely, and Mukamel, and the weakly asymmetric version was later studied by Clincy, Derrida, and Evans. Here
Mixed-order phase transition in a one-dimensional model.
The model presented serves as a link between two classes of models that exhibit a mixed-order transition in one dimension, namely, spin models with a coupling constant that decays as the inverse distance squared and models of depinning transitions, thus making a step towards a unifying framework.