We investigate driven wave turbulence in non-Abelian plasmas, in the framework of kinetic theory where both elastic and inelastic processes are considered in the small angle approximation. The gluon spectrum, that forms in the presence of a steady source, is shown to be controlled by nonlocal interactions in momentum space, in contrast to the universal Kolmogorov-Zakharov spectra. Assuming stro...

This work is devoted to examining the uniqueness and existence of kinetic solutions for a class scalar conservation laws involving nonlocal super-critical diffusion operator multiplicative noise. Our proof based upon analysis on double variables method enabled by parabolic approximation.

The notions of entanglement and nonlocality are among the most striking ingredients found in quantum information theory. One tool to better understand these notions is the model of nonlocal games ; a mathematical framework that abstractly models a physical system. The simplest instance of a nonlocal game involves two players, Alice and Bob, who are not allowed to communicate with each other onc...

The independent pixel approximation (IPA), which treats radiative properties of each pixel independently by using standard plane-parallel calculations preserves scale-invariance found in the analyses of the horizontal variability of liquid water in marine stratocumulus clouds. Several studies, however, report a violation of scale-invariance in LANDSAT cloud radiance fields that are much smoothe...

We provide a convergence result for numerical schemes approximating nonlocal front propagation equations. Our schemes are based on a recently investigated notion of weak solution for these equations. We also give examples of such schemes, for a dislocation dynamics equation, and for a Fitzhugh-Nagumo type system.

We recently introduced the dynamical cluster approximation ~DCA!, a technique that includes short-ranged dynamical correlations in addition to the local dynamics of the dynamical mean-field approximation while preserving causality. The technique is based on an iterative self-consistency scheme on a finite-size periodic cluster. The dynamical mean-field approximation ~exact result! is obtained b...

Tao Geng,1,2 Songlin Zhuang,2 Jie Gao,1 and Xiaodong Yang1,* 1Department of Mechanical and Aerospace Engineering, Missouri University of Science and Technology, Rolla, Missouri 65409, USA 2Engineering Research Center of Optical Instrument and Systems, Ministry of Education, Shanghai Key Lab of Modern Optical Systems, University of Shanghai for Science and Technology, Shanghai 200093, China (Rec...

The paper is concerned with the convergence analysis of a numerical method for nonlocal Cahn– Hilliard equations. The temporal discretization is based on the implicit midpoint rule and a Fourier spectral discretization is used with respect to the spatial variables. The sequence of numerical approximations in shown to be bounded in various norms, uniformly with respect to the discretization para...

In this paper, we obtain the existence of positive critical point with least energy for a class functionals involving nonlocal and supercritical variable exponent nonlinearities by applying variational method approximation techniques. We apply our results to Schrödinger–Poisson type systems Kirchhoff equations exponent, respectively.