Statistical analysis of Hasegawa - Wakatani turbulence

Resistive drift wave turbulence is a multipurpose paradigm that can be used to understand transport at the edge of fusion devices. The Hasegawa-Wakatani model captures the essential physics of drift turbulence while retaining the simplicity needed to gain a qualitative understanding of this process. We provide a theoretical interpretation of numerically generated probability density functions (PDFs) of intermittent events in Hasegawa-Wakatani turbulence with enforced equipartition of energy in large scale zonal flows and small scale drift turbulence. We find that for a wide range of adiabatic index values the stochastic component representing the small scale turbulent eddies of the flow, obtained from the ARIMA model, exhibits super-diffusive statistics, consistent with intermittent transport. The PDFs of large events (above one standard deviation) are well approximated by the Laplace distribution, while small events often exhibit a Gaussian character. Furthermore there exist a strong influence of zonal flows for example, via shearing and then viscous dissipation maintaining a sub-diffusive character of the fluxes

Quantifying scaling in the velocity field of the anisotropic turbulent solar wind

Solar wind turbulence is dominated by Alfvénic fluctuations with power spectral exponents that somewhat surprisingly evolve toward the Kolmogorov value of −5/3, that of hydrodynamic turbulence. We analyze in situ satellite observations at 1AU and show that the turbulence decomposes linearly into two coexistent components perpendicular and parallel to the local average magnetic field and determine their distinct intermittency independent scaling exponents. The first of these is consistent with recent predictions for anisotropic MHD turbulence and the second is closer to Kolmogorov-like scaling

Scaling in long term data sets of geomagnetic indices and solar wind ϵ as seen by WIND spacecraft

We study scaling in fluctuations of the geomagnetic indices (AE, AU, and AL) that provide a measure of magnetospheric activity and of the ε parameter which is a measure of the solar wind driver. Generalized structure function (GSF) analysis shows that fluctuations exhibit self-similar scaling up to about 1 hour for the AU index and about 2 hours for AL, AE and ε when the most extreme fluctuations over 10 standard deviations are excluded. The scaling exponents of the GSF are found to be similar for the three AE indices, and to differ significantly from that of ε. This is corroborated by direct comparison of their rescaled probability density functions

Solar cycle dependence of scaling in solar wind fluctuations

In this review we collate recent results for the statistical scaling properties of fluctuations in the solar wind with a view to synthesizing two descriptions: that of evolving MHD turbulence and that of a scaling signature of coronal origin that passively propagates with the solar wind. The scenario that emerges is that of coexistent signatures which map onto the well known "two component" picture of solar wind magnetic fluctuations. This highlights the need to consider quantities which track Alfvénic fluctuations, and energy and momentum flux densities to obtain a complete description of solar wind fluctuations

Intermittency, scaling and the Fokker-Planck approach to fluctuations of the solar wind bulk plasma parameters as seen by the WIND spacecraft

The solar wind provides a natural laboratory for observations of MHD turbulence over extended temporal scales. Here, we apply a model independent method of differencing and rescaling to identify self-similarity in the Probability Density Functions (PDF) of fluctuations in solar wind bulk plasma parameters as seen by the WIND spacecraft. Whereas the fluctuations of speed v and IMF magnitude B are multi-fractal, we find that the fluctuations in the ion density rho, energy densities B^2 and rho v^2 as well as MHD-approximated Poynting flux vB^2 are mono-scaling on the timescales up to ~26 hours. The single curve, which we find to describe the fluctuations PDF of all these quantities up to this timescale, is non-Gaussian. We model this PDF with two approaches-- Fokker-Planck, for which we derive the transport coefficients and associated Langevin equation, and the Castaing distribution that arises from a model for the intermittent turbulent cascade.Comment: 8 pages, 11 figures. APS format accepted to be published at PRE. Changes include the discussion of the functional form of tails for rescaled PDFs. Introductions has been modified as well. New figure 7 has been adde

Gifted adolescents and multipotentiality : links with stress, anxiety, perfectionism and career indecision : a thesis presented in partial fulfilment of the requirements for the degree of Masters in Educational Psychology at Massey University, Manawatū, New Zealand

Gifted and talented students are often thought to sail through school and life, due to their superior academic or non-academic abilities. However, this is not always the case, as gifted and talented students have characteristics and needs that are as diverse as those of any other population. Adolescence can be a particularly challenging time for these students, especially those who may consider themselves to be multipotentialed. Multipotentiality, defined as having varied and diverse abilities as well as the potential to succeed to a high level in a number of different fields, has been linked in the research literature to stress, anxiety, perfectionism, and career indecision in gifted adolescents. The current study aimed to investigate the level and manifestation of multipotentiality in a New Zealand sample of gifted adolescents, as well as its links to the aforementioned constructs. A mixed methods, sequential explanatory research design was used to explore these topics in a cohort of 23 Year 13 students identified by their school as gifted and talented. The students completed a questionnaire that combined the Perceived Stress Scale, the Zung Self-Rating Anxiety Scale, and the Child-Adolescent Perfectionism Scale, as well as questions on multipotentiality and career decision-making. Analyses revealed high levels of self-reported multipotentiality among the participants. Results also showed that stress, anxiety, self-oriented perfectionism, and career indecision were higher for females than for males. Three participants participated in a focus group, where the themes from the questionnaire were discussed in further depth. Results from the questionnaire and focus group indicated that for gifted adolescent girls in particular, being multipotentialed appeared to exacerbate stress, anxiety, perfectionism, and career indecision. However, being multipotentialed was found to be linked to lower stress and anxiety in adolescent males. Implications and suggestions are made in terms of how educators and counsellors can be more aware of the existence of multipotentiality and the impact it may have on the mental health of gifted adolescents

Indestructability in the Fight Against Evil: The Theological View on the Russian-Ukrainian War

The article shows that the fight against evil, namely Russian aggression against the Ukrainian people, creates a unique concept of “indestructibility.” The appearance of the term “invincibility” in the theological world, as a rule, is associated with the side of goodness and freedom. The Russian Federation has shown in the 21st century aggression unprecedented in its scale, including the desire to appropriate foreign territory, the bombing of peaceful territories and civilians, the distortion of faith, religion, and ideology to achieve goals by military means, etc. As a result, in the theological world of Ukraine, this phenomenon was called “evil.” That is why, in this article, the author presents the connection between the concept of “invincibility” and “indestructibility” in the fight against “evil” in the process of fighting against Russian aggression