Observing Power-Law Dynamics of Position-Velocity Correlation in Anomalous Diffusion

Power-law velocity distributions in granular gases.

The kinetic theory of granular gases is studied for spatially homogeneous systems. At large velocities, the equation governing the velocity distribution becomes linear, and it admits stationary solutions with a power-law tail, f (v) approximately v(-sigma) . This behavior holds in arbitrary dimension for arbitrary collision rates including both hard spheres and Maxwell molecules. Numerical simu...

analysis of power in the network society

اندیشمندان و صاحب نظران علوم اجتماعی بر این باورند که مرحله تازه ای در تاریخ جوامع بشری اغاز شده است. ویژگیهای این جامعه نو را می توان پدیده هایی از جمله اقتصاد اطلاعاتی جهانی ، هندسه متغیر شبکه ای، فرهنگ مجاز واقعی ، توسعه حیرت انگیز فناوری های دیجیتال، خدمات پیوسته و نیز فشردگی زمان و مکان برشمرد. از سوی دیگر قدرت به عنوان موضوع اصلی علم سیاست جایگاه مهمی در روابط انسانی دارد، قدرت و بازتولید...

Bimodal diffusion in power-law shear flows.

The phenomenon in which a Brownian particle moves faster than diffusively arises in a number of diverse situations. In the context of fluid mechanics [1-3], for example, a dynamically neutral tracer particle in a linear shear flow, with fluid velocity ~v(x, y) ∝ yx̂, exhibits a mean-square longitudinal displacement which grows in time as 〈x(t)〉 ∼ t. It is also well-known that the probability dis...

Anomalous scaling and universality in hydrodynamic systemswith power-law forcing

The problem of the interplay between normal and anomalous scaling in turbulent systems stirred by a random forcing with a power-law spectrum is addressed. We consider both linear and nonlinear systems. As for the linear case, we study passive scalars advected by a 2d velocity field in the inverse cascade regime. For the nonlinear case, we review a recent investigation of 3d Navier– Stokes turbu...

Numerical Methods for Power-Law Diffusion Problems