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 authors provide a model for dynamical scalarization, beyond the adiabatic approximation, using effective field theory techniques, demonstrating that inclusion of post-adiabatic corrections is crucial. agnostic, i.e., independent specific gravity and can therefore be used even alternative theories.

This work is dedicated to the study of Dynamical Systems depending on a slowly vary ing parameter It contains in particular a detailed analysis of memory e ects such as hysteresis which frequently appear in systems involving several time scales In a rst part of this dissertation we develop a mathematical framework to deal with adiabatic di erential equations We do this whenever possible by favo...