346 research outputs found
Delensing CMB Polarization with External Datasets
One of the primary scientific targets of current and future CMB polarization
experiments is the search for a stochastic background of gravity waves in the
early universe. As instrumental sensitivity improves, the limiting factor will
eventually be B-mode power generated by gravitational lensing, which can be
removed through use of so-called delensing algorithms. We forecast prospects
for delensing using lensing maps which are obtained externally to CMB
polarization: either from large-scale structure observations, or from
high-resolution maps of CMB temperature. We conclude that the forecasts in
either case are not encouraging, and that significantly delensing large-scale
CMB polarization requires high-resolution polarization maps with sufficient
sensitivity to measure the lensing B-mode. We also present a simple formalism
for including delensing in CMB forecasts which is computationally fast and
agrees well with Monte Carlos.Comment: typos correcte
Competing interactions in two dimensional Coulomb systems: Surface charge heterogeneities in co-assembled cationic-anionic incompatible mixtures
A binary mixture of oppositely charged components confined to a plane such as
cationic and anionic lipid bilayers may exhibit local segregation. The relative
strength of the net short range interactions, which favors macroscopic
segregation, and the long range electrostatic interactions, which favors
mixing, determines the length scale of the finite size or microphase
segregation. The free energy of the system can be examined analytically in two
separate regimes, when considering small density fluctuations at high
temperatures, and when considering the periodic ordering of the system at low
temperatures (F. J. Solis and M. Olvera de la Cruz, J. Chem. Phys. 122, 054905
(2000)). A simple Molecular Dynamics simulation of oppositely charged monomers,
interacting with a short range Lennard Jones potential and confined to a two
dimensional plane, is examined at different strengths of short and long range
interactions. The system exhibits well-defined domains that can be
characterized by their periodic length-scale as well as the orientational
ordering of their interfaces. By adding salt, the ordering of the domains
disappears and the mixture macroscopically phase segregates in agreement with
analytical predictions.Comment: 8 pages, 5 figures, accepted for publication in J. Chem. Phys, Figure
1 include
Charged Particles on Surfaces: Coexistence of Dilute Phases and Periodic Structures on Membranes
We consider a mixture of one neutral and two oppositely charged types of
molecules confined to a surface. Using analytical techniques and molecular
dynamics simulations, we construct the phase diagram of the system and exhibit
the coexistence between a patterned solid phase and a charge-dilute phase. The
patterns in the solid phase arise from competition between short-range
immiscibility and long-range electrostatic attractions between the charged
species. The coexistence between phases leads to observations of stable
patterned domains immersed in a neutral matrix background.Comment: 5 pages, 3 figure
Inflationary potentials in DBI models
We study DBI inflation based upon a general model characterized by a
power-law flow parameter and speed of
sound , where and are constants.
We show that in the slow-roll limit this general model gives rise to distinct
inflationary classes according to the relation between and and
to the time evolution of the inflaton field, each one corresponding to a
specific potential; in particular, we find that the well-known canonical
polynomial (large- and small-field), hybrid and exponential potentials also
arise in this non-canonical model. We find that these non-canonical classes
have the same physical features as their canonical analogs, except for the fact
that the inflaton field evolves with varying speed of sound; also, we show that
a broad class of canonical and D-brane inflation models are particular cases of
this general non-canonical model. Next, we compare the predictions of
large-field polynomial models with the current observational data, showing that
models with low speed of sound have red-tilted scalar spectrum with low
tensor-to-scalar ratio, in good agreement with the observed values. These
models also show a correlation between large non-gaussianity with low tensor
amplitudes, which is a distinct signature of DBI inflation with large-field
polynomial potentials.Comment: Minor changes, reference added. Version submitted to JCA
Excursion Sets and Non-Gaussian Void Statistics
Primordial non-Gaussianity (NG) affects the large scale structure (LSS) of
the universe by leaving an imprint on the distribution of matter at late times.
Much attention has been focused on using the distribution of collapsed objects
(i.e. dark matter halos and the galaxies and galaxy clusters that reside in
them) to probe primordial NG. An equally interesting and complementary probe
however is the abundance of extended underdense regions or voids in the LSS.
The calculation of the abundance of voids using the excursion set formalism in
the presence of primordial NG is subject to the same technical issues as the
one for halos, which were discussed e.g. in arXiv:1005.1203. However, unlike
the excursion set problem for halos which involved random walks in the presence
of one barrier , the void excursion set problem involves two barriers
and . This leads to a new complication introduced by what
is called the "void-in-cloud" effect discussed in the literature, which is
unique to the case of voids. We explore a path integral approach which allows
us to carefully account for all these issues, leading to a rigorous derivation
of the effects of primordial NG on void abundances. The void-in-cloud issue in
particular makes the calculation conceptually rather different from the one for
halos. However, we show that its final effect can be described by a simple yet
accurate approximation. Our final void abundance function is valid on larger
scales than the expressions of other authors, while being broadly in agreement
with those expressions on smaller scales.Comment: 28 pages (18+appendices), 7 figures; v2 -- minor changes in sec 3.2,
version published in PR
Curvature-driven Molecular Demixing in the Budding and Breakup of Mixed Component Worm-like Miscelles
Amphiphilic block copolymers of suitable proportions can self-assemble into surprisingly long and stable worm-like micelles, but the intrinsic polydispersity of polymers as well as polymer blending efforts and the increasing use of degradable chains all raise basic questions of curvature–composition coupling and morphological stability of these high curvature assemblies. Molecular simulations here of polyethylene glycol (PEG) based systems show that a systematic increase in the hydrated PEG fraction, in both monodisperse and binary blends, induces budding and breakup into spherical and novel ‘dumbbell’ micelles—as seen in electron microscopy images of degradable worm-like micelles. Core dimension, d, in our large-scale, long-time dissipative particle dynamics (DPD) simulations is shown to scale with chain-length, N, as predicted theoretically by the strong segregation limit (d ≈ N2/3), but morphological transitions of binary mixtures are only crudely predicted by simple mixture rules. Here we show that for weakly demixing diblock copolymers, the coupling between local interfacial concentration and mean curvature can be described with a simple linear relationship. The computational methods developed here for PEG-based assemblies should be useful for many high curvature nanosystems
Scale Dependence of the Halo Bias in General Local-Type Non-Gaussian Models I: Analytical Predictions and Consistency Relations
We investigate the clustering of halos in cosmological models starting with
general local-type non-Gaussian primordial fluctuations. We employ multiple
Gaussian fields and add local-type non-Gaussian corrections at arbitrary order
to cover a class of models described by frequently-discussed f_nl, g_nl and
\tau_nl parameterization. We derive a general formula for the halo power
spectrum based on the peak-background split formalism. The resultant spectrum
is characterized by only two parameters responsible for the scale-dependent
bias at large scale arising from the primordial non-Gaussianities in addition
to the Gaussian bias factor. We introduce a new inequality for testing
non-Gaussianities originating from multi fields, which is directly accessible
from the observed power spectrum. We show that this inequality is a
generalization of the Suyama-Yamaguchi inequality between f_nl and \tau_nl to
the primordial non-Gaussianities at arbitrary order. We also show that the
amplitude of the scale-dependent bias is useful to distinguish the simplest
quadratic non-Gaussianities (i.e., f_nl-type) from higher-order ones (g_nl and
higher), if one measures it from multiple species of galaxies or clusters of
galaxies. We discuss the validity and limitations of our analytic results by
comparison with numerical simulations in an accompanying paper.Comment: 25 pages, 3 figures, typo corrected, Appendix C updated, submitted to
JCA
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