For the three-dimensional hard-sphere model we investigate inhomogeneous two-body correlations predicted by Rosenfeld's fundamental measure theory. special cases in which density has either planar or spherical symmetry provide analytic formulas for Hankel and Legendre transforms, respectively, of direct correlation function as explicit functionals density. When combined with Ornstein-Zernike re...

We present a study of two-point spectral turbulence model (Local Wave-Number or LWN model) for the Rayleigh-Taylor (RT) instability. The outcomes are compared with statistical quantities extracted from three-dimensional simulation RT problem. These simulations initialized high wavenumber perturbations at interface heavy fluid placed on top light so that density gradient is in direction opposite...

The progress in two-dimensional materials has led to rapid experimental developments quantum plasmonics, where light is manipulated using plasmons. Although numerical methods can be used quantitatively describe plasmons spatially inhomogeneous systems, they are limited relatively small setups. Here, we present a novel semi-analytical method media within the framework of Random Phase Approximati...

The volumes, spectra and geodesics of a recently constructed infinite family of fivedimensional inhomogeneous Einstein metrics on the two S bundles over S are examined. The metrics are in general of cohomogeneity one but they contain the infinite family of homogeneous metrics T . The geodesic flow is shown to be completely integrable, in fact both the Hamilton-Jacobi and the Laplace equation se...

We treat analytically a model that captures several features of the phenomenon of spatially inhomogeneous reversal of an order parameter. The model is a classical Ginzburg–Landau field theory restricted to a bounded one-dimensional spatial domain, perturbed by weak spatiotemporal noise having a flat power spectrum in time and space. Our analysis extends the Kramers theory of noise-induced trans...

It is possible to obtain a quality assurance (QA) of the dosimetry within a short time by using the new mathematical tools for a water phantom where dose measurements were made at two points only for a few square field sizes of the linear accelerator beam. The human body is not homogeneous. Water phantom makes it possible to create inhomogeneous phantoms by introducing blocks within it at suita...

We argue that the superconducting state found in high-Tc cuprates is inhomogeneous with a corresponding inhomogeneous superfluid density. We introduce two classes of microscopic models which capture the magnetic and superconducting properties of these strongly correlated materials. We start from a generalized t-J model, in which appropriate inhomogeneous terms mimic stripes. We find that inhomo...

In this paper we examine the spatio-temporal dynamics of two nonlinearly coupled wave triplets sharing two common modes. Our basic findings are the following. When spatial dependence is absent, the homogeneous manifold so obtained can be chaotic or regular. If chaotic, it drives energy diffusion from long to small wavelengths as soon as inhomogeneous perturbations are added to the system. If re...