1,234 research outputs found
Particle Aggregation in a turbulent Keplerian flow
In the problem of planetary formation one seeks a mechanism to gather small
solid particles together into larger accumulations of solid matter. Here we
describe a scenario in which turbulence mediates this process by aggregating
particles into anticyclonic regions. If, as our simulations suggest,
anticyclonic vortices form as long-lived coherent structures, the process
becomes more powerful because such vortices trap particles effectively. Even if
the turbulence is decaying, following the upheaval that formed the disk, there
is enough time to make the dust distribution quite lumpy.Comment: 16 pages, 9 figure
Spiral Evolution in a Confined Geometry
Supported nanoscale lead crystallites with a step emerging from a
non-centered screw dislocation on the circular top facet were prepared by rapid
cooling from just above the melting temperature. STM observations of the top
facet show a nonuniform rotation rate and shape of the spiral step as the
crystallite relaxes. These features can be accurately modeled using curvature
driven dynamics, as in classical models of spiral growth, with boundary
conditions fixing the dislocation core and regions of the step lying along the
outer facet edge.Comment: 4 pages, 3 figures, to be published in Physical Review Letter
Detecting Topology in a Nearly Flat Spherical Universe
When the density parameter is close to unity, the universe has a large
curvature radius independently of its being hyperbolic, flat, or spherical.
Whatever the curvature, the universe may have either a simply connected or a
multiply connected topology. In the flat case, the topology scale is arbitrary,
and there is no a priori reason for this scale to be of the same order as the
size of the observable universe. In the hyperbolic case any nontrivial topology
would almost surely be on a length scale too large to detect. In the spherical
case, by contrast, the topology could easily occur on a detectable scale. The
present paper shows how, in the spherical case, the assumption of a nearly flat
universe simplifies the algorithms for detecting a multiply connected topology,
but also reduces the amount of topology that can be seen. This is of primary
importance for the upcoming cosmic microwave background data analysis.
This article shows that for spherical spaces one may restrict the search to
diametrically opposite pairs of circles in the circles-in-the-sky method and
still detect the cyclic factor in the standard factorization of the holonomy
group. This vastly decreases the algorithm's run time. If the search is widened
to include pairs of candidate circles whose centers are almost opposite and
whose relative twist varies slightly, then the cyclic factor along with a
cyclic subgroup of the general factor may also be detected. Unfortunately the
full holonomy group is, in general, unobservable in a nearly flat spherical
universe, and so a full 6-parameter search is unnecessary. Crystallographic
methods could also potentially detect the cyclic factor and a cyclic subgroup
of the general factor, but nothing else.Comment: 16 pages, 7 figure
What do very nearly flat detectable cosmic topologies look like?
Recent studies of the detectability of cosmic topology of nearly flat
universes have often concentrated on the range of values of given
by current observations. Here we study the consequences of taking the bounds on
given by inflationary models, i.e. . We show
that in this limit, a generic detectable non-flat manifold is locally
indistinguishable from either a cylindrical () or toroidal () manifold, irrespective of its global shape, with the former being
more likely. Importantly this is compatible with some recent indications based
on the analysis of high resolution CMB data. It also implies that in this limit
an observer would not be able to distinguish topologically whether the universe
is spherical, hyperbolic or flat. By severely restricting the expected
topological signatures of detectable isometries, our results provide an
effective theoretical framework for interpreting cosmological observations, and
can be used to confine any parameter space which realistic search strategies,
such as the `circles in the sky' method, need to concentrate on. This is
particularly important in the inflationary limit, where the precise nature of
cosmic topology becomes undecidable.Comment: 8 pages, LaTex2
Constraints on the Detectability of Cosmic Topology from Observational Uncertainties
Recent observational results suggest that our universe is nearly flat and
well modelled within a CDM framework. The observed values of
and inevitably involve uncertainties. Motivated
by this, we make a systematic study of the necessary and sufficient conditions
for undetectability as well as detectability (in principle) of cosmic topology
(using pattern repetition) in presence of such uncertainties. We do this by
developing two complementary methods to determine detectability for nearly flat
universes. Using the first method we derive analytical conditions for
undetectability for infinite redshift, the accuracy of which is then confirmed
by the second method. Estimates based on WMAP data together with other
measurements of the density parameters are used to illustrate both methods,
which are shown to provide very similar results for high redshifts.Comment: 16 pages, 1 figure, LaTeX2
Ab initio study of the vapour-liquid critical point of a symmetrical binary fluid mixture
A microscopic approach to the investigation of the behaviour of a symmetrical
binary fluid mixture in the vicinity of the vapour-liquid critical point is
proposed. It is shown that the problem can be reduced to the calculation of the
partition function of a 3D Ising model in an external field. For a square-well
symmetrical binary mixture we calculate the parameters of the critical point as
functions of the microscopic parameter r measuring the relative strength of
interactions between the particles of dissimilar and similar species. The
calculations are performed at intermediate () and moderately long
() intermolecular potential ranges. The obtained results agree
well with the ones of computer simulations.Comment: 14 pages, Latex2e, 5 eps-figures included, submitted to
J.Phys:Cond.Ma
Intrinsic profiles and capillary waves at homopolymer interfaces: a Monte Carlo study
A popular concept which describes the structure of polymer interfaces by
``intrinsic profiles'' centered around a two dimensional surface, the ``local
interface position'', is tested by extensive Monte Carlo simulations of
interfaces between demixed homopolymer phases in symmetric binary (AB)
homopolymer blends, using the bond fluctuation model. The simulations are done
in an LxLxD geometry. The interface is forced to run parallel to the LxL planes
by imposing periodic boundary conditions in these directions and fixed boundary
conditions in the D direction, with one side favoring A and the other side
favoring B. Intrinsic profiles are calculated as a function of the ``coarse
graining length'' B by splitting the system into columns of size BxBxD and
averaging in each column over profiles relative to the local interface
position. The results are compared to predictions of the self-consistent field
theory. It is shown that the coarse graining length can be chosen such that the
interfacial width matches that of the self-consistent field profiles, and that
for this choice of B the ``intrinsic'' profiles compare well with the
theoretical predictions.Comment: to appear in Phys. Rev.
Mode-coupling theory for multiple-time correlation functions of tagged particle densities and dynamical filters designed for glassy systems
The theoretical framework for higher-order correlation functions involving
multiple times and multiple points in a classical, many-body system developed
by Van Zon and Schofield [Phys. Rev. E 65, 011106 (2002)] is extended here to
include tagged particle densities. Such densities have found an intriguing
application as proposed measures of dynamical heterogeneities in structural
glasses. The theoretical formalism is based upon projection operator techniques
which are used to isolate the slow time evolution of dynamical variables by
expanding the slowly-evolving component of arbitrary variables in an infinite
basis composed of the products of slow variables of the system. The resulting
formally exact mode-coupling expressions for multiple-point and multiple-time
correlation functions are made tractable by applying the so-called N-ordering
method. This theory is used to derive for moderate densities the leading mode
coupling expressions for indicators of relaxation type and domain relaxation,
which use dynamical filters that lead to multiple-time correlations of a tagged
particle density. The mode coupling expressions for higher order correlation
functions are also succesfully tested against simulations of a hard sphere
fluid at relatively low density.Comment: 15 pages, 2 figure
Charged domain walls as quantum strings living on a lattice
A generic lattice cut-off model is introduced describing the quantum
meandering of a single cuprate stripe. The fixed point dynamics is derived,
showing besides free string behavior a variety of partially quantum disordered
phases, bearing relationships both with quantum spin-chains and surface
statistical physics.Comment: 22 page, 17 figure
Nebuliser therapy in the intensive care unit
The relationship between identity, lived experience, sexual practices and the language through which these are conveyed has been widely debated in sexuality literature. For example, âcoming outâ has famously been conceptualised as a âspeech actâ (Sedgwick 1990) and as a collective narrative (Plummer 1995), while a growing concern for individualsâ diverse identifications in relations to their sexual and gender practices has produced interesting research focusing on linguistic practices among LGBT-identified individuals (Leap 1995; Kulick 2000; Cameron and Kulick 2006; Farqhar 2000). While an explicit focus on language remains marginal to literature on sexualities (Kulick 2000), issue of language use and translation are seldom explicitly addressed in the growing literature on intersectionality. Yet intersectional perspectives âreject the separability of analytical and identity categoriesâ (McCall 2005:1771), and therefore have an implicit stake in the âvernacularâ language of the researched, in the âscientificâ language of the researcher and in the relationship of continuity between the two. Drawing on literature within gay and lesbian/queer studies and cross-cultural studies, this chapter revisits debates on sexuality, language and intersectionality. I argue for the importance of giving careful consideration to the language we choose to use as researchers to collectively define the people whose experiences we try to capture. I also propose that language itself can be investigated as a productive way to foreground how individual and collective identifications are discursively constructed, and to unpack the diversity of lived experience. I address intersectional complexity as a methodological issue, where methodology is understood not only as the methods and practicalities of doing research, but more broadly as âa coherent set of ideas about the philosophy, methods and data that underlie the research process and the production of knowledgeâ (McCall 2005:1774). My points are illustrated with examples drawn from my ethnographic study on âlesbianâ identity in urban Russia, interspersed with insights from existing literature. In particular, I aim to show that an explicit focus on language can be a productive way to explore the intersections between the global, the national and the local in cross-cultural research on sexuality, while also addressing issues of positionality and accountability to the communities researched
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