The power law dependence of the spectrum auroral indices, and in‐situ magnetic field observations in earth's geotail, may be evidence that coupled solar wind‐magnetospheric system exhibits scale free self organised criticality can to some extent described by avalanche models. In contrast, intensity of, time interval between, substorms both have well defined probability distributions with characteristic scales. We present results from a simple cellular automaton models avalanches one...

The magnetometric (volume averaged) demagnetization factors for cylinders with elliptical cross section are computed using a Fourier-space approach and compared similar results obtained different treatment. given as series expansion in the eccentricity of section, where terms up to order 10 explicitly function cylinder aspect ratio. Other simplified expressions, valid restricted regimes, also given. Two expansions, previously particular combinations shape parameters, recalled new results....

By employing the quantum hydrodynamic model and reductive perturbation technique, a Zakharov-Kuznetsov (QZK) equation is derived for finite but small amplitude ion-acoustic waves in magnetoplasma. The extended Conte's truncation method used to obtain solitary, explosive, periodic solutions of QZK equation. Furthermore, stability solitary wave solution investigated by using small-k expansion method.

Abstract We present an analytic form for the response function measured in a SIMS depth profile of impurity layer less than 1 nm wide (a delta layer). Although process used to evolve can be justified on physical grounds, we make no claim that justification is rigorous or universal. At examine its use making consistent and utilitarian definition frequently employed resolution parameters. The found give accurate fit (lying everywhere within statistical noise over several orders magnitude...

The propagation of electrostatic waves perpendicular to a uniform magnetic field, the so-called Bernstein modes, are discussed. It is shown, in limit as strength field approaches zero, that these which themselves undamped, collectively act so form single damped mode identical usual Landau appropriate zero field. behavior plasma for small but finite also considered. shown damping due phase mixing exists time short compared ωc−1, reciprocal cyclotron frequency. In times long this, exhibits...

For many chaotic systems, accurate calculation of the correlation dimension from measured data is difficult because very slow convergence as scale size reduced. This problem often caused by highly nonuniform measure on attractor. paper proposes a method for collecting at large scales and extrapolating to limit zero scale. The result vastly reduced required number points given accuracy in dimension. illustrated detail one-dimensional maps then applied more complicated flows. Values are...

For certain combinations of temperature and magnetic field, the evolution with time magnetization some phase-separated manganese oxides exhibits a unique steplike feature. This jump in is proposed to correspond burstlike growth ferromagnetic fraction at expense antiferromagnetic component, driven by strains interfaces between two kinds domains. These results bear striking similarity phenomenon an ``incubation time'' encountered standard martensitic transformations.

Studies of the Zakharov—Kuznetsov equation governing solitons in a strongly magnetized ion-acoustic plasma indicate that perturbed flat soliton is unstable and evolves into higher-dimensional solitons. The growth rate γ = γ( k ) small sinusoidal perturbation wavenumber to has already been found numerically, lengthy analytical work given value We introduce more direct method form an extension usual multiple-scale approach use it determine consistent expansion about 0 other zero at 2 5.By...

In part 1 (Infeld 1972), it was shown that a nonlinear stationary wave in cold plasma is marginally stable to all perturbations are functions of the spatial direction parallel propagation only. The stability analysis extended here 2 include general variations. Within limitations treatment, found that, for amplitudes up maximal value (onset trapping), stable. Hence one would expect these large-amplitude waves exist practice. one-dimensional also with relativistic velocities, and such again be

Two dimensional generalizations of the Korteweg-de Vries equation appropriate to propagation non-linear ion-acoustic waves are obtained. Soliton solutions found exist and they shown be stable two perturbations.

In this Letter an exact solution for nonlinear cold-electron plasma oscillations against a periodic ion background is found. The main difference with respect to the known corresponding uniform that, after while, electron density peaks will appear. This phenomenon, which was forseen in general terms by Dawson, has possible practical implications are indicated briefly. A thermal limitation on given.

A non-linear theory of the propagation acoustic waves in piezoelectric semiconductors is presented, based on an asymptotic expansion multiple time and space scales. The envelope wave amplitude found to satisfy a Schrodinger equation with complex coefficients. solution this obtained using perturbation technique. This result, solitary wave, used study saturation instability it that mechanism local change d.c. electric field carrier concentration.

Journal Article On the Stability of Solutions Non-linear Schrödinger Equation Get access G. ROWLANDS Department Physics, University WarwickCoventry Search for other works by this author on: Oxford Academic Google Scholar IMA Applied Mathematics, Volume 13, Issue 3, June 1974, Pages 367–377, https://doi.org/10.1093/imamat/13.3.367 Published: 01 1974 history Received: 15 January 1973 Revision received: 18 October

In this Letter we obtain an exact solution for a relativistic Langmuir wave with nontrivial space and time dependence. We find explosive behavior in the electron density hence also electric field gradient. Relativistic effects are thus found possible candidate to explain interesting type of behavior, recently numerical simulations (though it is too early give quantitative treatment).

Abstract A theory for the kinetics of surface segregation is proposed that takes specific account driving force segregation, different binding energy at surface, and also includes effect saturation in layer. general solution found applied to experimental results Sn Fe obtained by Lea Seah (1977). The provides a good fit these data contrast earlier equations McLean (1957). then developed more complex situations including two species grain boundary when heat each related concentration other....

In the period after Thirty Years War central state organization of armies went hand in with hiring foreigners for military service. This article sets out importance foreign soldiers Louis XIV’s power, and outlines how they were incorporated under aegis French 1663. It proposes a fresh typology recruitment service, moving beyond simple categories such as mercenary, auxiliary, entrepreneur, process it further reveals complexity international dealings. The government had multiple motivations...

The mechanical, electrical and chemical properties of chemically modified graphene (CMG) are intrinsically linked to its structure. Here, we report on our study the topographic structure free-standing CMG using atomic force microscopy (AFM) electron diffraction. We find that, unlike graphene, suspended sheets corrugated distorted nanometre length scales. AFM reveals not only long-range (100 nm) distortions induced by support, as previously observed for but also short-range corrugations with...

Context. Coronal rain is composed of cool dense blobs that form in solar coronal loops and are a manifestation catastrophic cooling linked to thermal instability. Once formed, falls towards the surface at sub-ballistic speeds, which not well understood. Pressure forces seem be prime candidate explain this. In many observations accompanied by transverse oscillations interaction between these needs explored.

LOUIS XIV, ARISTOCRATIC POWER AND THE ELITE UNITS OF FRENCH ARMY Get access GUY ROWLANDS Search for other works by this author on: Oxford Academic Google Scholar French History, Volume 13, Issue 3, September 1999, Pages 303–331, https://doi.org/10.1093/fh/13.3.303 Published: 01 1999

By determining to first order the growth rate of a small, long-wavelength, perturbation Zakharov–Kuznetsov plane soliton moving at an angle α magnetic field, it has been found that such solitons are unstable for 0 ( ∼ 38 °). To determine stability angles greater than , one needs higher order. The conventional approach generates second-order is singular = . We rigorously obtain expression bounded this point, by developing method in which exponentially secular terms arise regrouped before...

The evolution of magnetospheric indices on temporal scales shorter than that substorms is characterized by bursty, intermittent events may arise from turbulence intrinsic to the magnetosphere or reflect solar wind‐magnetosphere coupling. This leads a generic problem distinguishing between features system and those driver. We quantify scaling properties short‐term (up few hours) fluctuations in geomagnetic AL AU during minimum maximum, along with parameter ε measure wind find self‐similar...