Citation Penna, Robert F. "Black hole jet power from impedance matching. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Black hole jet power depends on the angula...

Previously published analytical results for the effects of a high-frequency laser field on hydrogen Rydberg atoms demonstrated that unperturbed elliptical orbit electron, generally is engaged simultaneously in precession orbital plane about direction and within plane. These were obtained while disregarding relativistic effects. In present paper, we analyze effect hydrogenic or ions linearly- ci...

The multifrequency electrical impedance tomography is considered in order to image a conductivity inclusion inside a homogeneous background medium by injecting one current. An original spectral decomposition of the solution of the forward conductivity problem is used to retrieve the Cauchy data corresponding to the extreme case of perfect conductor. Using results based on the unique continuatio...

The determination of whether two distant events are simultaneous depends on the velocity of the observer. This velocity dependence is typically explained in terms of the relativity of space and time in a counterintuitive manner by the Special Theory of Relativity. In this paper, I describe a straightforward and intuitive way to explain the velocity dependence of simultaneity in terms of velocit...

This paper proposes an adaptive strategy of co-regulating the three parameters—P/ω droop coefficient, virtual inertia, and damping coefficient—for synchronous generator (VSG). approach is able to solve uncoordinated performance between inertia using conventional control in which system may experience serious frequency fluctuations. Through mathematical modeling VSG grid-connected system, segmen...

The spectroscopic wavenumber is a proxy for the optical frequency, and avoids the necessity of writing factors of c everywhere. For optical and infrared radiation the wavenumber is conveniently expressed in units of inverse micrometers, thus a wavelength of 500 nm corresponds to 2.00 μm−1. The circular or angular wavenumber k = 2π/λ = 2πσ is often used, particularly in the context of the wave e...

where Î denotes the Fourier transform, and ω denotes frequency. Proof 1 Taking the Fourier transform of the Heat Equation: { ∂tu(t, x) = ∆u(t, x) x ∈ R u(0, x) = I(x) t = 0 yields: ∂tû(t, ω) = (iω) · (iω)û(t, ω) = −|ω|û(t, ω), where û(t, ω) is the Fourier transform of u. Solving this differential equation yields û(t, ω) = e−|ω| 2tÎ(ω). We note that a = 0 when I ∈ L since Î(0) = ∫ R2 I(x) dx is ...

Context. Stars experience rapid contraction or expansion at different phases of their evolution. Modelling the transport angular momentum and chemical elements occurring during these remains an unsolved problem. Aims. We study a stellar radiative zone undergoing radial investigate induced differential rotation meridional circulation. Methods. consider rotating spherical layer crossed by imposed...

In this paper, we are concerned with the following fractional Schrödinger-Poisson system:    (−∆s)u + V (x)u + φu = m(x)|u|q−2|u|+ f(x,u), x ∈ Ω, (−∆t)φ = u2, x ∈ Ω, u = φ = 0, x ∈ ∂Ω, where s,t ∈ (0,1], 2t + 4s > 3, 1 < q < 2 and Ω is a bounded smooth domain of R3, and f(x,u) is linearly bounded in u at infinity. Under some assumptions on m, V and f we obtain the existence of non-trivial so...

We examine the thermal conductivity and bulk viscosity of a onedimensional (1D) chain of particles with cubic-plus-quartic interparticle potentials and no on-site potentials. This system is equivalent to the FPUαβ system in a subset of its parameter space. We identify three distinct frequency regimes which we call the hydrodynamic regime, the perturbative regime and the collisionless regime. In...