Incommensurate structure in the Bi-Sr-Ca-Cu-O 80-K superconductor

Shaw, T. M.; Shivashankar, S. A.; Placa, S. J. La; Cuomo, J. J.; McGuire, T. R.; Roy, R.; Kelleher, K. H.; Yee, D. S.

doi:10.1103/physrevb.37.9856

Cited by 125 publications

(20 citation statements)

References 5 publications

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“…One of the best studied cases is the totally asymmetric simple exclusion process (TASEP) [4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]. It is defined as a one-dimensional lattice gas where particles are hopping stochastically in one direction subject to hard-core repulsion (for reviews see [21,22]).…”

Section: Introductionmentioning

confidence: 99%

“…It is defined as a one-dimensional lattice gas where particles are hopping stochastically in one direction subject to hard-core repulsion (for reviews see [21,22]). Two types of disorder have been studied: hopping rates may either depend on the particle attempting to jump (particle-wise disorder [4,5,6] or each lattice site may be associated may be associated with a random quenched hopping rate (site-wise disorder ) [7,8,9,10,11,12,13,14,15,16,17,18,19,20]. As intuitively expected, such defects generically induce phase separations if the particle traffic exceeds a certain threshold [6].…”

Section: Introductionmentioning

confidence: 99%

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Bottleneck-induced transitions in a minimal model for intracellular transport

et al. 2006

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We consider the influence of disorder on the nonequilibrium steady state of a minimal model for intracellular transport. In this model particles move unidirectionally according to the totally asymmetric exclusion process ͑TASEP͒ and are coupled to a bulk reservoir by Langmuir kinetics. Our discussion focuses on localized point defects acting as a bottleneck for the particle transport. Combining analytic methods and numerical simulations, we identify a rich phase behavior as a function of the defect strength. Our analytical approach relies on an effective mean-field theory obtained by splitting the lattice into two subsystems, which are effectively connected exploiting the local current conservation. Introducing the key concept of a carrying capacity, the maximal current that can flow through the bulk of the system ͑including the defect͒, we discriminate between the cases where the defect is irrelevant and those where it acts as a bottleneck and induces various novel phases ͑called bottleneck phases͒. Contrary to the simple TASEP in the presence of inhomogeneities, many scenarios emerge and translate into rich underlying phase diagrams, the topological properties of which are discussed.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bottleneck-induced transitions in a minimal model for intracellular transport

et al. 2006

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“…As a consequence of the competition between the TASEP and LK dynamics, the effects of a single bottleneck in the TASEP/LK model are much more dramatic than in the simple TASEP [17] (or the TASEP for extended objects [18]), where a localized defect was shown to merely shift some transition lines in the phase-diagram, but do not affect its topology. Here, new and mixed phases induced by the bottleneck have been obtained.…”

Section: B Defectmentioning

confidence: 99%

Traffic of Molecular Motors: From Theory to Experiments

Pierobon

2009

Traffic and Granular Flow ’07

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Intracellular transport along microtubules or actin filaments, powered by molecular motors such as kinesins, dyneins or myosins, has been recently modeled using one-dimensional driven lattice gases. We discuss some generalizations of these models, that include extended particles and defects. We investigate the feasibility of single molecule experiments aiming to measure the average motor density and to locate the position of traffic jams by mean of a tracer particle. Finally, we comment on preliminary single molecule experiments performed in living cells.

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“…A feature of the two-layer bismuth compounds is that they can exhibit incommensurate modulations in the Bi-O planes (Shaw et al, 1988). Interestingly, the modulations are not always present and can also vary from place to place in a crystal.…”

Section: Bismuth Strontium Calcium Cuprate (Bi 2 Sr 2 Ca^1cu Lt O 4 +mentioning

confidence: 99%