نتایج جستجو برای: radial mean energy
تعداد نتایج: 1274628 فیلتر نتایج به سال:
A new Density-Functional (DF) formula is constructed for atoms. The kinetic energy of the electrons is divided into two parts: the kinetic self-energy and the orthogonalization energy where these concepts are borrowed from the pseudopotential theory. For the radial part of the orthogonalization energy which replaces the radial part of the Fermi-energy of the Thomas-Fermi model we derived the ex...
We show that Brownian motion on any unbounded submanifold P in an ambient manifold N with a pole p is transient if the following conditions are satisfied: The p-radial mean curvatures of P are sufficiently small outside a compact set and the p-radial sectional curvatures of N are sufficiently negative. The ‘sufficiency’ conditions are obtained via comparison with explicit transience criteria fo...
Let be a smooth domain on the unit sphere S whose closure is contained in an open hemisphere and denote by H the mean curvature of ∂ as a submanifold of with respect to the inward unit normal. It is proved that for each real number H that satisfies inf H > −H ≥ 0, there exists a unique radial graph on bounded by ∂ with constant mean curvature H . The orientation on the graph is based on the nor...
We present analytic expressions for ULF wave-derived radiation belt radial diffusion coefficients, as a function of L and Kp, which can easily be incorporated into global radiation belt transport models. The diffusion coefficients are derived from statistical representations of ULF wave power, electric field power mapped from ground magnetometer data, and compressional magnetic field power from...
subject to the boundary conditions: U = Umax , at z = 0; and U 1, dU/dzo 0 as z -) oo. Here U = U/U ; U is the mean energy, 3/2 kT, of an electron; and Ue is the equilibrium energy to which the electron decays at an infinite distance z from the region of excitation. The dimensionless parameter z 0 is equal to pz, where p is the reciprocal of the free diffusion length in the radial direction of ...
It has been argued that the energy content in time varying spacetimes can be obtained by using the approximate Lie symmetries of the geodesics equations in that spacetime. When applied to cylindrical gravitational waves, it gives a self-damping of the waves. According to this proposal the energy of the waves go to zero asymptotically as the radial distance to the two-thirds power. If true, this...
Energy spectra for intermediate mass fragments produced in central Au + Au collisions at E/A = 100 MeV indicate a collective expansion at breakup. For the first time, values for this collective expansion energy per nucleon are extracted independently for each charge. Typically, these values are one-third to one-half of the incident kinetic energy per nucleon in the c.m. system, but they decreas...
Experimental results on the connection between meanE×B flows and coherent oscillations at the frequency of the geodesic acoustic mode (GAM) in the H-1 heliac are presented. An increase in the mean local radial electric field, Er , is correlated with the development of several coherent modes. As mean Er increases, spectral energy, which is mostly contained in coherent modes, grows. This is follo...
Maximum Mean Discrepancy (MMD) is a distance on the space of probability measures which has found numerous applications in machine learning and nonparametric testing. This distance is based on the notion of embedding probabilities in a reproducing kernel Hilbert space. In this paper, we present the first known lower bounds for the estimation of MMD based on finite samples. Our lower bounds hold...
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