Turbulent flows in nature and technology possess a range of scales. The largest scales carry the memory of the physical system in which a flow is embedded. One challenge is to unravel the universal statistical properties that all turbulent flows share despite their different large-scale driving mechanisms or their particular flow geometries. In the present work, we study three turbulent flows o...

To obtain the turbulent velocity profiles in Couette and Poiseuille flows between parallel walls, we use statistical mechanics of point vortices. Our theory does not contain phenomenological constants. The only parameter taken from experiments is the total kinetic energy of the flow. We solve numerically the equation for averaged flow and show that the theoretical predictions are in good agreem...

Motor protein motion on biopolymers can be described by models related to the totally asymmetric simple exclusion process (TASEP). Inspired by experiments on the motion of kinesin-4 motors on antiparallel microtubule overlaps, we analyze a model incorporating the TASEP on two antiparallel lanes with binding kinetics and lane switching. We determine the steady-state motor density profiles using ...

In this paper we present an approach for the analysis of systems of parallel communicating processes, with regard to Network-on-Chip applications. We present a method to detect communications that synchronize the program flow of two or more processes. These synchronization points set the processes into relation and allow the determination of the global timing behavior of such a system. Using th...

Verjovsky stated the conjecture in [35] for all dimensions with an additional assumption that the fundamental group of the manifold is solvable. This was proved by Plante [24, 25] and Armendariz [4], who showed that the conjecture is true if and only if the fundamental group of the manifold is solvable. In the above form, the conjecture first appeared in Ghys [13]. However, Ghys has pointed out...

The effect of gene flow on Hispanic populations from different geographic regions of the United States was analyzed using six autosomal DNA markers (LDLR, GYPA, HBGG, D7S8, GC, and HLA-DQA). By region of sampling, the Hispanic populations showed different ancestry contributions, from a trihybrid structure with European, Native American, and African contributions (California, Nevada, Florida, Ne...

We report the first extended experimental results indicating that radially localized time-varying potential structures, which possess many of the characteristics of zonal flows, are generated by strong fluctuations. Experiments performed in the H-1 heliac show that these poloidally symmetric flows are nonlinearly coupled to other fluctuations and are responsible for significant modifications in...

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We numerically examine colloidal particles driven over a muffin tin substrate. Previous studies of this model identified a variety of commensurate and incommensurate static phases in which topological defects can form domain walls, ordered stripes, superlattices, or disordered patchy regimes as a function of the filling fraction. Here, we show that the addition of an external drive to these sta...

A reduced description of exact coherent structures in the transition regime of plane parallel shear flows is developed, based on the Reynolds number scaling of streamwise-averaged (mean) and streamwise-varying (fluctuation) velocities observed in numerical simulations. The resulting system is characterized by an effective unit Reynolds number mean equation coupled to linear equations for the fl...