7,045 research outputs found
Partial melting in an upwelling mantle column
Decompression melting of hot upwelling rock in the mantle creates a region of partial melt comprising a porous solid matrix through which magma rises buoyantly. Magma transport and the compensating matrix deformation are commonly described by two-phase compaction models, but melt production is less often incorporated. Melting is driven by the necessity to maintain thermodynamic equilibrium between mineral grains in the partial melt; the position and amount of partial melting that occur are thus thermodynamically determined. We present a consistent model for the ascent of a one-dimensional column of rock and provide solutions that reveal where and how much partial melting occurs, the positions of the boundaries of the partial melt being determined by conserving energy across them. Thermodynamic equilibrium of the boundary between partial melt and the solid lithosphere requires a boundary condition on the effective pressure (solid pressure minus melt pressure), which suggests that large effective stresses, and hence fracture, are likely to occur near the base of the lithosphere. Matrix compaction, melt separation and temperature in the partially molten region are all dependent on the effective pressure, a fact that can lead to interesting oscillatory boundary-layer structures. © 2008 The Royal Society
Temperature surges in current-limiting circuit devices.
This paper studies the problem of heat transfer in a thermistor, which is used as a switching device in electronic circuits. The temperature field is coupled to the current flow by ohmic heating in the device, and the problem is rendered highly nonlinear by a very rapid variation of electrical conductivity with temperature. Approximate methods based on high activation energy asymptotics are developed to describe the transient heat flow, which occurs when the circuit is switched on. In particular, it is found that a transient 'surge' phenomenon (akin to thermal runaway, but self-saturating) occurs, and we conjecture that this phenomenon may be associated with cracking of thermistors, which sometimes occurs during operation
Recommended from our members
Nascent polypeptide chains exit the ribosome in the same relative position in both eucaryotes and procaryotes.
We located the polypeptide nascent chain as it leaves cytoplasmic ribosomes from the plant Lemna gibba by immune electron microscopy using antibodies against the small subunit of the enzyme ribulose-1,5-bisphosphate carboxylase. Similar studies with Escherichia coli ribosomes, using antibodies directed against the enzyme beta-galactosidase, show that the polypeptide nascent chain emerges in the same relative position in plants and bacteria. The eucaryotic ribosomal exit site is on the large subunit, approximately 75 A from the interface between subunits and nearly 160 A from the central protuberance, the presumed site for peptidyl transfer. This is the first functional site on both the eucaryotic and procaryotic ribosomes to be determined
The Equilibrium Distribution of Gas Molecules Adsorbed on an Active Surface
We evaluate the exact equilibrium distribution of gas molecules adsorbed on
an active surface with an infinite number of attachment sites. Our result is a
Poisson distribution having mean , with the
mean gas density, the sticking probability, the evaporation
probability in a time interval , and Smoluchowski's exit probability
in time interval for the surface in question. We then solve for the case
of a finite number of attachment sites using the mean field approximation,
recovering in this case the Langmuir isotherm.Comment: 14 pages done in late
Strong Shift Equivalence of -correspondences
We define a notion of strong shift equivalence for -correspondences and
show that strong shift equivalent -correspondences have strongly Morita
equivalent Cuntz-Pimsner algebras. Our analysis extends the fact that strong
shift equivalent square matrices with non-negative integer entries give stably
isomorphic Cuntz-Krieger algebras.Comment: 26 pages. Final version to appear in Israel Journal of Mathematic
Cosmic Rays and Large Extra Dimensions
We have proposed that the cosmic ray spectrum "knee", the steepening of the
cosmic ray spectrum at energy E \gsim 10^{15.5} eV, is due to "new physics",
namely new interactions at TeV cm energies which produce particles undetected
by the experimental apparatus. In this letter we examine specifically the
possibility that this interaction is low scale gravity. We consider that the
graviton propagates, besides the usual four dimensions, into an additional
, compactified, large dimensions and we estimate the graviton
production in collisions in the high energy approximation where graviton
emission is factorized. We find that the cross section for graviton production
rises as fast as , where is the fundamental
scale of gravity in dimensions, and that the distribution of
radiating a fraction of the initial particle's energy into gravitational
energy (which goes undetected) behaves as . The missing
energy leads to an underestimate of the true energy and generates a break in
the {\sl inferred} cosmic ray spectrum (the "kne"). By fitting the cosmic ray
spectrum data we deduce that the favorite values for the parameters of the
theory are TeV and .Comment: 8 pages, 1 figur
The psychological therapy preferences of patients who hear voices
Background
Voice-hearing is a common, phenomenologically diverse, experience across different mental health diagnoses. Patient preferences for psychological therapies are helpful in informing treatment commissioning and provision, especially in the context of complex and variable experiences like voice-hearing. There is, however, very limited evidence as to the psychological therapy preferences of transdiagnostic voice-hearers.
Methods
Three-hundred and thirty-five voice hearers were recruited from secondary care NHS mental health services across England, between 2020 and 2022. Participants completed a questionnaire battery, involving a psychological therapy preference survey. Participants ranked their preferences across categories of practical, technical and relational therapy elements. Therapy preferences were examined using non-parametric ANOVAs and the significance of pairwise comparisons between different therapy elements.
Results
There were significant differences in all categories of preference elements. Clear hierarchies of preference were observed in therapy location, timing, delivery, and therapy approach. Preferences were evident, albeit with less clear vertical hierarchies, for number of sessions, mode, therapist qualities, and therapy focus, tasks and outcomes.
Discussion
Overall, participants expressed a preference for individual, face-to-face intervention of at least nine sessions, with a highly experienced therapist and a core focus on enhancing coping strategies for voice-hearing experiences
- …