Kinematic Self-Similar Cylindrically Symmetric Solutions

This paper is devoted to find out cylindrically symmetric kinematic self-similar perfect fluid and dust solutions. We study the cylindrically symmetric solutions which admit kinematic self-similar vectors of second, zeroth and infinite kinds, not only for the tilted fluid case but also for the parallel and orthogonal cases. It is found that the parallel case gives contradiction both in perfect fluid and dust cases. The orthogonal perfect fluid case yields a vacuum solution while the orthogonal dust case gives contradiction. It is worth mentioning that the tilted case provides solution both for the perfect as well as dust cases.Comment: 22 pages, accepted for publication in Int. J. of Mod. Phys.

Water on Mars: Clue to accretional history

Geological evidence for large amounts of water at the Martian surface appears to be in conflict with geochemical evidence from SNC meteorites that suggests that the Mars mantle is dry and should have lost almost all of its initially large inventory of water during accretion. Here, several possibilities are suggested as to how the apparently conflicting data from two sources may be reconciled. The considerations examined indicate that several plausible explanations for the apparent conflict between geochemical evidence of little water on Mars and geologic evidence of abundant water. One possible conclusion is that Mars has a primitive volatile-rich crust that has been partly overplated with young, dry, mantle-derived volcanoes of which we have samples in the SNC meteorites

Vortex macroscopic superpositions in ultracold bosons in a double-well potential

We study macroscopic superpositions in the orbital rather than the spatial degrees of freedom, in a three-dimensional double-well system. We show that the ensuing dynamics of $N$ interacting excited ultracold bosons, which in general requires at least eight single-particle modes and ${N+7 \choose N}$ Fock vectors, is described by a surprisingly small set of many-body states. An initial state with half the atoms in each well, and purposely excited in one of them, gives rise to the tunneling of axisymmetric and transverse vortex structures. We show that transverse vortices tunnel orders of magnitude faster than axisymmetric ones and are therefore more experimentally accessible. The tunneling process generates macroscopic superpositions only distinguishable by their orbital properties and within experimentally realistic times.Comment: 9 pages, 6 figure

Dr Carnesky’s incredible bleeding woman

Dr Carnesky’s Incredible Bleeding Woman, Reinventing Menstrual Rituals Through New Performance Practices (DCIBW) is a revelatory, illusory, horror filled, taboo breaking bricolage; a multimodal research project that proposes to reinvent menstrual rituals through new performance practices. DCIBW is a spectacular touring live art carnivalesque performance work premiered in 2015 and documented in this written thesis. It draws on menstruation studies from the fields of anthropology, feminism, live art and performance, entertainment history, popular culture, activism and ecology. Informed by an autoethnographical framework, it uses my experiences as a woman and a performance maker developed through the creation of a Practice as Research (PaR) live performance project. It critically engages with theories of indigenous stories, menstrual synchronicity, horror and abjection in feminism, women in variety entertainment traditions and generative eco feminist frameworks. It explores the overarching themes of cyclicity and renewal that became apparent in researching the reinvention of menstrual rituals. The live performance features a cast of research participants who are a group of diverse intersectional queer live artists and circus skilled performers presenting physical acts in the context of an experimental performative lecture and of the theatricalised personal revelations of life experiences created through our PaR methodology. The creation of the work explored through the thesis and the show included monthly menstrual ritual performance devising workshop weekends, qualitative interviews, group discussion, work in progress showings and live performance touring experiences. The workshops utilised existing research methods on menstrual synchronicity and the devising methods for performance drew on my existing live art and cabaret practice and the performers’ skills. The PaR explored spectacle and taboo in popular entertainment traditions including the traditional variety arts of stage magic, cabaret and sideshow, highlighting new propositions for the term Showwoman as opposed to showman to be used in contemporary performance vernacular, defining the Showwoman as using her spectacular vision in acts that are transformative and collaborative and an antidote to the entertainment traditions of the exploitative tropes of the showman. The revelations of the touring performance and associated events of post- show talks saw the emergence of the activist group the Menstruants which went on to independently organise events and public performative interventions at the same time as the show was touring. This further informed the project to propose new methodologies for the creation of menstrual ritual and activism. The PaR, the writing of the thesis, the performance of the show and the staging of activist events resulted in the introduction of a new proposition for a theoretical term - the Menstrocene - that can contribute to a wider ecofeminist performance activist landscape

Volcanic features of Hawaii. A basis for comparison with Mars

Despite the difference in size Martian and Hawaiian volcanoes have numerous characteristics in common. Specific features such as lava channels, collapsed lava tubes, levees and flow fronts, all very common in Hawaii, are also abundant on the flanks of some of the Martian volcanoes. Striking differences also exist, such as the apparent lack of radial rift zones on some Martian volcanoes and the paucity of cinder and spatter cones. Some of the best photographs of Martian and Hawaiian volcanic features are presented. Descriptive legends are provided for each picture. An overview of the geological processes and structures depicted is included

Options on realized variance and convex orders

Realized variance option and options on quadratic variation normalized to unit expectation are analysed for the property of monotonicity in maturity for call options at a fixed strike. When this condition holds the risk-neutral densities are said to be increasing in the convex order. For Leacutevy processes, such prices decrease with maturity. A time series analysis of squared log returns on the S&P 500 index also reveals such a decrease. If options are priced to a slightly increasing level of acceptability, then the resulting risk-neutral densities can be increasing in the convex order. Calibrated stochastic volatility models yield possibilities in both directions. Finally, we consider modeling strategies guaranteeing an increase in convex order for the normalized quadratic variation. These strategies model instantaneous variance as a normalized exponential of a Leacutevy process. Simulation studies suggest that other transformations may also deliver an increase in the convex order