Contributions to the theory of magnetorotational instability and waves in a rotating plasma

The one-fluid magnetohydrodynamic (MHD) theory of magnetorotational instability (MRI) in an ideal plasma is presented. The theory predicts the possibility of MRI for arbitrary 0, where 0 is the ratio of the plasma pressure to the magnetic field pressure. The kinetic theory of MRI in a collisionless plasma is developed. It is demonstrated that as in the ideal MHD, MRI can occur in such a plasma for arbitrary P. The mechanism of MRI is discussed; it is shown that the instability appears because of a perturbed parallel electric field. The electrodynamic description of MRI is formulated under the assumption that the dispersion relation is expressed in terms of the permittivity tensor; general properties of this tensor are analyzed. It is shown to be separated into the nonrotational and rotational parts. With this in mind, the first step for incorporation of MRI into the general theory of plasma instabilities is taken. The rotation effects on Alfven waves are considered.

NIELSEN COINCIDENCE THEORY OF FIBRE-PRESERVING MAPS AND DOLD`S FIXED POINT INDEX

Let M -> B, N -> B be fibrations and f(1), f(2): M -> N be a pair of fibre-preserving maps. Using normal bordism techniques we define an invariant which is an obstruction to deforming the pair f(1), f(2) over B to a coincidence free pair of maps. In the special case where the two fibrations axe the same and one of the maps is the identity, a weak version of our omega-invariant turns out to equal Dold`s fixed point index of fibre-preserving maps. The concepts of Reidemeister classes and Nielsen coincidence classes over B are developed. As an illustration we compute e.g. the minimal number of coincidence components for all homotopy classes of maps between S(1)-bundles over S(1) as well as their Nielsen and Reidemeister numbers.

ALGEBRAIC AND GEOMETRIC THEORY OF THE TOPOLOGICAL RING OF COLOMBEAU GENERALIZED FUNCTIONS

We continue the investigation of the algebraic and topological structure of the algebra of Colombeau generalized functions with the aim of building up the algebraic basis for the theory of these functions. This was started in a previous work of Aragona and Juriaans, where the algebraic and topological structure of the Colombeau generalized numbers were studied. Here, among other important things, we determine completely the minimal primes of (K) over bar and introduce several invariants of the ideals of 9(Q). The main tools we use are the algebraic results obtained by Aragona and Juriaans and the theory of differential calculus on generalized manifolds developed by Aragona and co-workers. The main achievement of the differential calculus is that all classical objects, such as distributions, become Cl-functions. Our purpose is to build an independent and intrinsic theory for Colombeau generalized functions and place them in a wider context.

Lie algebra methods for the applications to the statistical theory of turbulence

Approximate Lie symmetries of the Navier-Stokes equations are used for the applications to scaling phenomenon arising in turbulence. In particular, we show that the Lie symmetries of the Euler equations are inherited by the Navier-Stokes equations in the form of approximate symmetries that allows to involve the Reynolds number dependence into scaling laws. Moreover, the optimal systems of all finite-dimensional Lie subalgebras of the approximate symmetry transformations of the Navier-Stokes are constructed. We show how the scaling groups obtained can be used to introduce the Reynolds number dependence into scaling laws explicitly for stationary parallel turbulent shear flows. This is demonstrated in the framework of a new approach to derive scaling laws based on symmetry analysis [11]-[13].

Investigating the Nature of Noble Gas-Copper Bonds by the Quantum Theory of Atoms in Molecules

We investigated noble gas copper bonds in linear complexes represented by the NgCuX general formula in which Ng and X stand for a noble gas (neon, argon, krypton, or xenon) and a halogen (fluorine, chlorine or bromine), respectively, by coupled cluster methods and modified cc-pVQZ basis sets. The quantum theory of atoms in molecules (QTAIM) shows a linear relation between the dissociation energy or noble gas-copper bonds and the amount of electronic charge transferred mainly from the noble gas to copper during complexation. Large changes in the QTAIM quadrupole moments of copper and noble gases resulting from this bonding and a comparison between NgCuX and NgNaCl systems indicate that these noble gas-copper bonds should be better interpreted as predominantly covalent. Finally, QTAIM atomic dipoles of noble gases in NgNaCl systems agree satisfactorily with atomic dipoles given by a simple model for these NgNa van der Waals bonds.

Attityd till att fullfölja nuvarande studier - En applikation av The Theory of Planned Behavior

För att förutsäga och förklara människors beteenden och intentioner har ”attityd” länge varit ett centralt begrepp inom socialpsykologin. En vanlig teori och modell för ändamålet är ”theory of planned behavior” (TpB), vilken säger att en individs beteende styrs av dess intention, som i sin tur är en funktion av den personliga attityden, det sociala trycket och den upplevda kontrollen att kunna genomföra aktuellt beteende. Syftet med föreliggande studie var att undersöka attityden och intentionen till att fullfölja nuvarande studier och göra en applikation av TpB-modellen via en Internetenkät riktad till studenter på Högskolan Dalarna (N = 1292). Hypotesen att ”den upplevda kontrollen” är den viktigaste direkta variabeln för intentionen kunde godtas, vilket kan antagas bero på beteendets karaktär. Diskussion förs också kring intentionens eventuella omvandling till verkligt beteende.

Vad påverkar föräldrars sätt att tillgodose barns behov av regelbundet umgänge? : En applikation på Theory of Planned Behaviour

Föreliggande undersökning var en attitydundersökning baserad på Theory of Planned Behaviour där attityd, subjektiv norm, upplevd kontroll samt intention anses kunna predicera beteende. Syftet med undersökningen är försöka ta reda på vilka faktorer som påverkar hur mycket tid man som förälder umgås med sina barn efter en separation eller skilsmässa eftersom många barn i den situationen förlorar kontakten med den ena föräldern. 36 försöksdeltagare besvarade ett frågeformulär bestående av 31 frågor och påståenden gällande umgänge. Resultaten visar att tiden man som förälder umgås med sina barn efter en skilsmässa beror på intention och upplevd kontroll. Intentionen förklaras av upplevd kontroll och dom förväntningar man upplever från omgivningen. Attityden hade endast liten betydelse i modellen.

Sociala faktorers inverkan på elevers intentioner till högre studier : En applikation av Theory of planned behavior

Denna studie grundar sig på en enkätundersökning av 59 gymnasieungdomars intentioner till att inom de närmaste 5 åren påbörja studier vid högskola eller universitet. Undersökningen är baserad på Theory of planned behavior och syftar till att testa teorins pålitlighet i att besvara vilken av de socialt betingade bakgrundsfaktorerna attityd, subjektiv norm och upplevd beteendekontroll som utgör den bästa prediktorn för undersökningsdeltagarnas intentioner. Därtill undersöks dessa faktorers samband med föräldrarnas utbildningsnivå. Theory of planned behavior visade sig vara ett reliabelt mätinstrument gällande studiens övriga frågor, där den upplevda beteendekontrollen och den subjektiva normen utgjorde signifikanta prediktorer gällande undersökningsdeltagarnas intentioner. Därtill påvisades samband mellan föräldrars utbildningsnivå och deltagarnas intentioner samt subjektiva norm. Författaren menar att studier likt denna ger ett värdefullt bidrag till det viktiga arbetet med att förverkliga den svenska skolans likvärdighetsmål.

Towards an epistemological theory of historical consciousness

This paper presents a theoretical analysis of the concept of historical consciousness. It argues that a focus on the epistemological problems of the concept can be a way of constructing a theory of the concept that both incorporates the diverse perspectives that exist in research about the concept and specifies how a historical consciousness can be developed in an individual.

Vector Theory of Spontaneous Lorentz Violation

Classical electromagnetism predicts two massless propagating modes, which are known as the two polarizations of the photon. On the other hand, if the Lorentz symmetry of classical electromagnetism is spontaneously broken, the new theory will still have two massless Nambu-Goldstone modes resembling the photon. If the Lorentz symmetry is broken by a bumblebee potential that allows for excitations out of the minimum, then massive modes arise. Furthermore, in curved spacetime, such massive modes will be created through a process other than the usual Higgs mechanism because of the dependence of the bumblebee potential on both the vector field and the metric tensor. Also, it is found that these massive modes do not propagate due to the extra constraints.