Splitting of the ground state manifold of classical Heisenberg spins as couplings are varied

We construct clusters of classical Heisenberg spins with two-spin $\vec{S}_i.\vec{S}_j$-type interactions for which the ground state manifold consists of disconnected pieces. We extend the construction to lattices and couplings for which the ground state manifold splits into an exponentially large number of disconnected pieces at a sharp point as the interaction strengths are varied with respect to each other. In one such lattice we construct, the number of disconnected pieces in the ground state manifold can be counted exactly.Comment: Accepted for publication in Physica A; 6 pages, 4 figure

Juliette: A model of sexual consent

The ‘yes means yes’ model of sexual consent and the political and ethical commitments that underpin this model have three fundamental disadvantages. This position unfairly polices the sexual expression of participants; it demands an unreasonably high standard for defining sexual interaction as consensual; and by denying the body’s capacity for expressing sexual consent this model allows perpetrators of sexual violence to define consent. I argue that a critical examination of Marquis de Sade’s novel Juliette can provide the basis for a model of sexual consent that avoids these problems by refraining from pre-judging the means by which consent is communicated

Geomorphology of the Kaikoura area

The major physiographic units in the Kaikoura area are the Peninsula Block, Beach Ridges and Raised Beaches, Hard Rock Areas and the Alluvial Fans. Erosion of the Seaward Kaikoura Mountains and the transfer of the debris to the sea by fan streams have contributed to coastline pro gradation so that a former offshore island, now called the Kaikoura Peninsula, has been joined to the mainland. On the piedmont alluvial plain between the mountains and the sea Otiran Glacial Stage and Holocene fan deposits have covered up older fan surfaces. Stillstands during the tectonic uplift of the Peninsula Block when marine processes cut shore platforms and also higher stands of interglacial sea levels in the Late Pleistocene have contributed to the development of erosion surfaces. Along the coast beach ridges and raised beaches have developed during post-glacial times

Does Government Expenditure on Education Promote Economic Growth? An Econometric Analysis

Education being an important component of human capital has always attracted the interests of economists, researchers and policy makers. Governments across the globe in general and in India in particular are trying to improve the human capital by pumping more investments in education. But the issue that whether improved level of education resulting from more education spending can promote economic growth is still controversial. Some economists and researchers have supported the bi-directional relation between these two variables, while it has also been suggested that it is the economic growth that stimulates governments spend more on education, not the other way. Considering this research issue, the present paper uses linear and non-linear Granger Causality methods to determine the causal relationship between education spending and economic growth in India for the period 1951-2009. The findings of this paper indicate that economic growth affects the level of government spending on education irrespective of any lag effects, but investments in education also tend to influence economic growth after some time-lag. The results are particularly useful in theoretical and empirical research by economists, regulators and policy makers

Gamma Ray Bursts -- A radio perspective

Gamma-ray bursts (GRBs) are extremely energetic events at cosmological distances. They provide unique laboratory to investigate fundamental physical processes under extreme conditions. Due to extreme luminosities, GRBs are detectable at very high redshifts and potential tracers of cosmic star formation rate at early epoch. While the launch of {\it Swift} and {\it Fermi} has increased our understanding of GRBs tremendously, many new questions have opened up. Radio observations of GRBs uniquely probe the energetics and environments of the explosion. However, currently only 30\% of the bursts are detected in radio bands. Radio observations with upcoming sensitive telescopes will potentially increase the sample size significantly, and allow one to follow the individual bursts for a much longer duration and be able to answer some of the important issues related to true calorimetry, reverse shock emission and environments around the massive stars exploding as GRBs in the early Universe.Comment: To appear in Advances in Astronomy, special issue "Gamma-Ray Burst in Swift/Fermi Era and Beyond