3,258 research outputs found
Absence of simulation evidence for critical depletion in slit-pores
Recent Monte Carlo simulation studies of a Lennard-Jones fluid confined to a
mesoscopic slit-pore have reported evidence for ``critical depletion'' in the
pore local number density near the liquid-vapour critical point. In this note
we demonstrate that the observed depletion effect is in fact a simulation
artifact arising from small systematic errors associated with the use of long
range corrections for the potential truncation. Owing to the large
near-critical compressibility, these errors lead to significant changes in the
pore local number density. We suggest ways of avoiding similar problems in
future studies of confined fluids.Comment: 4 pages Revtex. Submitted to J. Chem. Phy
On sumsets of convex sets
A set of reals A={a_1,...,a_2} is called convex if a_{i+1} - a_i > a_i -
a_{i-1} for all i. We prove, in particular, that |A-A| \gg |A|^{8/5} \log{-2/5}
|A|.Comment: 6 page
The Jang equation reduction of the spacetime positive energy theorem in dimensions less than eight
We extend the Jang equation proof of the positive energy theorem due to R.
Schoen and S.-T. Yau from dimension to dimensions . This
requires us to address several technical difficulties that are not present when
. The regularity and decay assumptions for the initial data sets to which
our argument applies are weaker than those of R. Schoen and S.-T. Yau. In
recent joint work with L.-H. Huang, D. Lee, and R. Schoen we have given a
different proof of the full positive mass theorem in dimensions .
We pointed out that this theorem can alternatively be derived from our density
argument and the positive energy theorem of the present paper.Comment: All comments welcome! Final version to appear in Comm. Math. Phy
Paying the Price: How Health Insurance Premiums Are Eating Up Middle-Class Incomes
Analyzes state-by-state trends in insurance premium costs and as a share of household income. Compares projected cost increases by 2015 and 2020 under three scenarios for growth depending on the effects of healthcare reform. Discusses policy implications
Analysis of failed contacts from methode connector, FD-744-3S-SF
Methode contact cracking failure and subsequent production quality contro
- …