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Spontaneous Symmetry Breaking in a One Dimensional Driven Diffusive System

Spontaneous Symmetry Breaking in a One Dimensional Driven Diffusive System,10.1103/PhysRevLett.74.208,Physical Review Letters,M. R. Evans,D. Foster,C.

Spontaneous Symmetry Breaking in a One Dimensional Driven Diffusive System   (Citations: 30)
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Journal: Physical Review Letters - PHYS REV LETT , vol. 74, no. 2, pp. 208-211, 1995
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    • ...In contrast, the number of models including bidirectional transport, which therefore take the opposed direction of kinesin’s and dynein’s motion along MTs into account, is rather limited (e.g., [22, 23, 24, 25])...

    Maximilian Ebbinghauset al. A model for bidirectional traffic of cytoskeletal motors

    • ...• In non-equilibrium systems nothing prevents the existence of phase transitions in one dimension [9]–[11], [32], [62]–[72]...

    Bernard Derrida. Non-equilibrium steady states: fluctuations and large deviations of th...

    • ...So it came as a bit of a surprise that in a quite simple stochastic (and hence noisy) lattice model of a driven diffusive system with short-range interactions SSB was observed [1, 2]. In this so-called bridge model, two species of particles A, B move in opposite directions with rate 1 and are injected with rate α and ejected with rate β at the boundary sites...
    • ...In the first half-step the following processes take place: At site 1 it is attempted to create a particle of species A with probability α ∈ [0,1] if the site is empty, or to annihilate a particle of species B with probability β ∈ [0,1], provided the site is occupied by such a particle:...
    • ...In the first half-step the following processes take place: At site 1 it is attempted to create a particle of species A with probability α ∈ [0,1] if the site is empty, or to annihilate a particle of species B with probability β ∈ [0,1], provided the site is occupied by such a particle:...
    • ...The original bridge model [1, 2] arises as the continuous-time limit of this model with stochastic hopping and has the same symmetry...
    • ...It is an intriguing open question whether similar mechanisms are at work in the original bridge model of [1, 2]...

    Stefan Großkinskyet al. Rigorous Results on Spontaneous Symmetry Breaking in a One-Dimensional...

    • ...Yet there is a number of theoretical analyses [4‐14], and the study of counterflow is not limited to pedestrian coun terflow, for example counterflow has recently attracted some interest on ant trails [1 5], the dynamics of motor molecules [16], and basic theoretical investigations [17] ...

    Tobias Kretzet al. Experimental study of pedestrian counterflow in a corridor

    • ...This model was first introduced in [4] in the context of particles with exclusion, and a Gibbs form corresponding to reversibility has been found in [5] in some cases...

    Guy Fayolleet al. Stochastic Deformations of Sample Paths of Random Walks and Exclusion ...

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