“Exact permutation tests for correlated binomial variables” by J. Yu, J. L. Kepner and R. Iyer Biometrical Journal (2009) 51, 899–914 Article: http://dx.doi.org/10.1002/bimj.200900082. Authors' reply: http://dx.doi.org/10.1002/bimj.201000094.

Berger, Vance W.

doi:10.1002/bimj.201000012

Cited by 1 publication

(1 citation statement)

References 20 publications

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“…By construction, the equilibrium state of these models is trivial. However their dynamics are cooperatively slow and they exhibit many hallmarks of glassy systems, such as dynamical heterogeneities [3][4][5][6][7][8][9][10][11][12][13][14], nonexponential relaxation [8][9][10][11][12][13][14][15][16][17][18][19][20], and ageing [21][22][23], and in certain situations may exhibit an ergodicity-breaking jamming transition, beyond which a finite fraction of the particles are permanently frozen [24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamics in kinetically constrained lattice-gas models

Teomy

Shokef

2017

Phys. Rev. E

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Kinetically constrained models are lattice-gas models that are used for describing glassy systems. By construction, their equilibrium state is trivial and there are no equal-time correlations between the occupancy of different sites. We drive such models out of equilibrium by connecting them to two reservoirs of different densities, and we measure the response of the system to this perturbation. We find that under the proper coarse-graining, the behavior of these models may be expressed by a nonlinear diffusion equation, with a model- and density-dependent diffusion coefficient. We find a simple approximation for the diffusion coefficient, and we show that the relatively mild discrepancy between the approximation and our numerical results arises due to non-negligible correlations that appear as the system is driven out of equilibrium, even when the density gradient is infinitesimally small. Similar correlations appear when such kinetically constrained models are driven out of equilibrium by applying a uniform external force. We suggest that these correlations are the reason for the same discrepancy between the approximate diffusion coefficient and the numerical results for a broader group of models-nongradient lattice-gas models-for which kinetically constrained models are arguably the simplest example thereof.

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