The mixing dynamics of granular materials immersed in a liquid was experimentally studied in a quasi-2D rotating drum. A DV (SONY DCR-TRV900 NTSC) motion corder analyzer was used to record the motions of granular materials. The effects of interstitial fluid viscosity and filling degree on the mixing index, mixing rate constant, and dynamic repose angle in the rotating drum were investigated and...

We give necessary and sufficient conditions for the almost sure convergence of − 1 n logQ(B(X 1 ,D)) when (Xn)n≥1 is stationary and ergodic and when Q is stationary and satisfies certain strong mixing conditions. B(x1 ,D) is the single letter, additive distortion ball of radius D at the point x1 := (x1, . . . , xn). The asymptotic behavior of this quantity arises frequently in rate distortion t...

After briefly remarking on alternatives for breaking the electroweak symmetry, I discuss the implication that recent precision experiments at LEP have for the symmetry breaking sector. The difficulties associated with generating fermion masses when the electroweak symmetry is broken dynamically are exposed and an alternative to the walking technicolor-extended technicolor scenario is suggested,...

Fluid mixing is a crucial and challenging process for microfluidic systems, which are widely used in biochemical processes. Because of their fast performance, active micromixers that use stirrer blades are considered for biological applications. In the present study, by using a robust and convenient Incompressible Smoothed Particle Hydrodynamics (ISPH) method, miscible mix...

This paper proves a Berry–Esseen theorem for sample quantiles of strongly-mixing random variables under a polynomial mixing rate. The rate of normal approximation is shown to be O(n) as n→∞, where n denotes the sample size. This result is in sharp contrast to the case of the sample mean of strongly-mixing random variables where the rate O(n) is not known even under an exponential strong mixing ...

Understanding cascading failures or epidemics in networks is crucial for developing effective defensive mechanisms for many critical systems and infrastructures (e.g. biological, social and cyber networks). Most of the existing works treat the network topology as being exogenously given and study under what conditions an epidemic breaks out and/or extinguishes. However, if agents are able to st...

A new approach to the study of the rate of mixing in Anosov ows, recently proposed by N. Chernov, is simpliied and generalized to the higher dimensional case.