Spacetime structure of the global vortex

We analyse the spacetime structure of the global vortex and its maximal analytic extension in an arbitrary number of spacetime dimensions. We find that the vortex compactifies space on the scale of the Hubble expansion of its worldvolume, in a manner reminiscent of that of the domain wall. We calculate the effective volume of this compactification and remark on its relevance to hierarchy resolution with extra dimensions. We also consider strongly gravitating vortices and derive bounds on the existence of a global vortex solution.Comment: 19 pages revtex, 2 figures, minor changes, references adde

Clustering outdoor soundscapes using fuzzy ants

A classification algorithm for environmental sound recordings or "soundscapes" is outlined. An ant clustering approach is proposed, in which the behavior of the ants is governed by fuzzy rules. These rules are optimized by a genetic algorithm specially designed in order to achieve the optimal set of homogeneous clusters. Soundscape similarity is expressed as fuzzy resemblance of the shape of the sound pressure level histogram, the frequency spectrum and the spectrum of temporal fluctuations. These represent the loudness, the spectral and the temporal content of the soundscapes. Compared to traditional clustering methods, the advantages of this approach are that no a priori information is needed, such as the desired number of clusters, and that a flexible set of soundscape measures can be used. The clustering algorithm was applied to a set of 1116 acoustic measurements in 16 urban parks of Stockholm. The resulting clusters were validated against visitor's perceptual measurements of soundscape quality

Beyond the Fokker-Planck equation: Pathwise control of noisy bistable systems

We introduce a new method, allowing to describe slowly time-dependent Langevin equations through the behaviour of individual paths. This approach yields considerably more information than the computation of the probability density. The main idea is to show that for sufficiently small noise intensity and slow time dependence, the vast majority of paths remain in small space-time sets, typically in the neighbourhood of potential wells. The size of these sets often has a power-law dependence on the small parameters, with universal exponents. The overall probability of exceptional paths is exponentially small, with an exponent also showing power-law behaviour. The results cover time spans up to the maximal Kramers time of the system. We apply our method to three phenomena characteristic for bistable systems: stochastic resonance, dynamical hysteresis and bifurcation delay, where it yields precise bounds on transition probabilities, and the distribution of hysteresis areas and first-exit times. We also discuss the effect of coloured noise.Comment: 37 pages, 11 figure

Memory Effects and Scaling Laws in Slowly Driven Systems

This article deals with dynamical systems depending on a slowly varying parameter. We present several physical examples illustrating memory effects, such as metastability and hysteresis, which frequently appear in these systems. A mathematical theory is outlined, which allows to show existence of hysteresis cycles, and determine related scaling laws.Comment: 28 pages (AMS-LaTeX), 18 PS figure

Observation of emission from chaotic lasing modes in deformed microspheres: displacement by the stable orbit modes

By combining detailed imaging measurements at different tilt angles with simulations of ray emission from prolate deformed lasing micro-droplets, we conclude that the probability density for the lasing modes in a three-dimensional dielectric microcavity must reside in the chaotic region of the ray phase space. In particular, maximum emission from such chaotic lasing modes is not from tangent rays emerging from the highest curvature part of the rim. The laser emission is observed and calculated to be non-tangent and displaced from the highest curvature due to the presence of stable orbits. In this Letter we present the first experimental evidence for this phenomenon of ``dynamical eclipsing''.Comment: 4 figure

Influence of culverts on small stream fish communities in Northwestern Ontario / by Eric K. Berglund.

Stream crossings may alter fish habitat and fragment lotic environments, which could alter fish movement in stream reaches and lead to changes in fish community structure and population dynamics at the local and riverscape level. The potential for point source disturbance impacts by culverts may be analogous to confluences and the hierarchal spatial arrangement of tributary junctions, which are known locations of increased biodiversity. There is currently limited information on habitat fragmentation and the cumulative effects that culverts might have at the local and landscape level on fish communities in northwestern Ontario. Forty-three culvert sites and seven confluence points on small cold water streams were selected across 10 watersheds northeast of Thunder Bay, Ontario to examine fish assemblages and community characteristics above and below culverts and confluence points, to: (1) determine the extent to which culverts block or impede the movement of fish; (2) to evaluate the relationships among patterns and responses of fish assemblages and functional groups to environmental variables and (3) compare the patterns of biological and physical disturbance between culverts and natural stream confluence points. Species richness, abundance, biomass and density were significantly lower below culverts compared to above (p<0.05). Conversely, there was no statistical difference when comparing fish demographics above and below confluence points. On average, there were fewer, but larger brook trout captured above culverts compared to below, suggesting that stronger swimming individuals were able to move through culverts. Although several environmental variables influence fish assemblages, the differences in habitat characteristics above and below culverts were marginal and unlikely to have a major affect in the structuring of fish communities, which suggests that difference in community assemblage above and below were the result of impeded movement. None of the culvert characteristics explained large amounts of variation in fish community above and below culverts. Although marginal, perched culverts and culverts not on stream bottom were most closely associated with differences in fish community above and below culverts. Upstream catchment area appeared to be the single most important environmental variable structuring fish communities across the study area. The results from my study support the hypothesis that culverts limit the movement of certain fish species. However, due to the combination of local and landscape environmental influences, it would be difficult to predict the long term impacts of culverts across multiple scales based on culvert characteristics alone

A repulsive trap for two electrons in a magnetic field

We study numerically and analytically the dynamics of two classical electrons with Coulomb interaction in a two dimensional antidot superlattice potential in the presence of crossed electric and magnetic fields. It is found that near one antidot the electron pair can be trapped for a long time and the escape rate from such a trap is proportional to the square of a weak electric field. This is qualitatively different from the case of noninteracting electrons which are trapped forever by the antidot. For the pair propagation in the antidot superlattice we found a broad parameter regime for which the pair is stable and where two repulsive electrons propagate together on an enormously large distance.Comment: revtex, 5 pages, 6 figure

Optogenetic Visualization of Presynaptic Tonic Inhibition of Cerebellar Parallel Fibers

Tonic inhibition was imaged in cerebellar granule cells of transgenic mice expressing the optogenetic chloride indicator, Clomeleon. Blockade of GABA A receptors substantially reduced chloride concentration in granule cells due to block of tonic inhibition. This indicates that tonic inhibition is a significant contributor to the resting chloride concentration of these cells. Tonic inhibition was observed not only in granule cell bodies, but also in their axons, the parallel fibers (PFs). This presynaptic tonic inhibition could be observed in slices both at room and physiological temperatures, as well as in vivo, and has many of the same properties as tonic inhibition measured in granule cell bodies. GABA application revealed that PFs possess at least two types of GABA A receptor: one high-affinity receptor that is activated by ambient GABA and causes a chloride influx that mediates tonic inhibition, and a second with a low affinity for GABA that causes a chloride efflux that excites PFs. Presynaptic tonic inhibition regulates glutamate release from PFs because GABA A receptor blockade enhanced both the frequency of spontaneous EPSCs and the amplitude of evoked EPSCs at the PF-Purkinje cell synapse. We conclude that tonic inhibition of PFs could play an important role in regulating information flow though cerebellar synaptic circuits. Such cross talk between phasic and tonic signaling could be a general mechanism for fine tuning of synaptic circuits.National Science Foundation (U.S.) (Grant 1512826)National Science Foundation (U.S.) (Grant MH106013