Using the first law of binary black-hole mechanics, we compute the binding energy E and total angular momentum J of two nonspinning compact objects moving on circular orbits with frequency Ω, at leading order beyond the test-particle approximation. By minimizing E(Ω) we recover the exact frequency shift of the Schwarzschild innermost stable circular orbit induced by the conservative piece of th...

– We present a theoretical and experimental analysis of the transverse monopole mode of a fast rotating Bose-Einstein condensate. The condensate’s rotation frequency is similar to the trapping frequency and the effective confinement is only ensured by a weak quartic potential. We show that the non-harmonic character of the potential has a clear influence on the mode frequency, thus making the m...

The Brazil nut effect is the phenomenon in which a large intruder particle immersed in a vertically shaken bed of smaller particles rises to the top, even when it is much denser. The usual practice while describing these experiments has been to use the dimensionless acceleration Γ = aω(2)/g, where a and ω are, respectively, the amplitude and the angular frequency of vibration and g is the accel...

We establish the classical wave equation for a particle formed of a mass-less oscillatory elementary charge generally also traveling, and the resulting electromagnetic waves, of a generally Doppler-effected angular frequency ω, in the vacuum in three dimensions. We obtain from the solutions the total energy of the particle wave to be ε = ¯ h c ω, 2π¯ h c being a function expressed in wave-mediu...

We consider a single Chua’s circuit and a system of a unidirectionally coupled n-Chua’s circuits driven by a biharmonic signal with two widely different frequencies ω and Ω, where Ω ω. We show experimental evidence for vibrational resonance in the single Chua’s circuit and undamped signal propagation of a low-frequency signal in the system of n-coupled Chua’s circuits where only the first circu...

and Applied Analysis 3 with ω max{π/ βj − αj : 1 ≤ j ≤ q}, suppose that lim sup r→∞ logn ( r, Y, f a ( f ′ n b ) log r ≤ ρ 1.7 with a positive number ρ, finite complex numbers a/ 0 and b, and Y ⋃q j 1{z : αj ≤ arg z ≤ βj}, for any positive integer n ≥ 2, and that q ∑ j 1 ( αj 1 − βj ) < 4 σ arcsin √ δ (∞, f ′) 2 , αq 1 α1 2π 1.8 with σ max{ω, ρ, μ}. Then the order λ of f z has the estimation λ ...

We investigate the modal properties of inertial modes of rotating neutron stars with the core filled with neutron and proton superfluids, taking account of entrainment effects between the superfluids. In this paper, the entrainment effects are modeled by introducing a parameter η so that no entrainment state is realized at η = 0. We find that inertial modes of rotating neutron stars with the su...

seismic waves when crossing the earth in heterogeneous and anisotropic environments, having interaction. recognizing the impact of these factors on the seismograms help us to find out more information about interior of the earth. coda waves are the main reason for the random heterogeneities in earth. local earthquakes in the northeast region of iran with epicentral distance less than 200 km is ...

The rotational properties of numerical models of centrally condensed, turbulent molecular cloud cores with velocity fields that are characterized by Gaussian random fields are investigated. It is shown that the observed line width – size relationship can be reproduced if the velocity power spectrum is a power-law with P (k) ∝ k and n = −3 to −4. The line-of-sight velocity maps of these cores sh...