We obtain an explicit representation for quasiradial γ-harmonic functions, which shows that these functions have essentially algebraic nature. In particular, we give a complete description of all γ which admit algebraic quasiradial solutions. Unlike the cases γ = ∞ and γ = 1, only finitely many algebraic solutions is shown to exist for any fixed |γ| > 1. Moreover, there is a special extremal se...

A relativistic bounce-averaged quasilinear diffusion equation is derived to describe stochastic particle transport associated with low-frequency electromagnetic fluctuations in a nonuniform magnetized plasma. Expressions for the relativistic quasilinear diffusion coefficients are calculated explicitly for magnetically-trapped particle distributions in axisymmetric magnetic geometry in terms of ...

The observation of non-classical correlations arising in two weakly coupled Bose–Einstein condensates was recently reported by Estève et al (2008 Nature 455 1216). In order to observe relative number fluctuations between the two condensates below the standard quantum limit, they utilized the process of ‘adiabatic passage’ to drive the system out of thermal equilibrium. They found that this redu...

In this paper we calculate and visualize the dynamics of an ensemble of electrons trapping in an electrostatic wave of slowly increasing amplitude, illustrating that, despite disordering of particles in angle during the trapping transition as they pass close to X-points, there is still an adiabatic invariant for the great majority of particles that allows the long-time distribution function to ...

The adiabatic theorem provides the basis for the adiabatic model of quantum computation. Recently the conditions required for the adiabatic theorem to hold have become a subject of some controversy. Here we show that the reported violations of the adiabatic theorem all arise from resonant transitions between energy levels. In the absence of fast driven oscillations the traditional adiabatic the...

the dependence of some thermodynamic properties of spin-polarized liquid 3he such as velocity of sound, adiabatic index, isentropic compressibility and temperature on the spin polarization has been investigated along different isentropic paths. the lennard-jones potential has been used in our calculations. it has been found that for higher values of entropy, the spin polarization has greater ef...

The non-adiabatic frequencies of a standard solar model are discussed in this paper. The physics describing the radiative losses is included in the non-adiabatic effects.An asymptotic approximation to the non-adiabatic non-radial p-modes of the Sun is developed. An exact solution of non-adiabatic oscillations, which results in an eigenfrequency equation with the model-dependent surface phase sh...

Frequency-modulated (FM) pulses that function according to adiabatic principles are becoming increasingly popular in many areas of NMR. Often adiabatic pulses can extend experimental capabilities and minimize annoying experimental imperfections. Here, adiabatic principles and some of the current methods used to create these pulses are considered. The classical adiabatic rapid passage, which is ...

This paper presents adiabatic flip-flops based on CPAL (complementary pass-transistor adiabatic logic) circuits with energy-recycling output pad cells. The energy-recycling output pad cells for driving adiabatic chips include mainly bonding pads, ESD (electrostatic discharge) protection circuits, and two stage energy-recycling buffers. The adiabatic flip-flops and sequential circuits with energ...