19,860 research outputs found
Hydrodynamic slip boundary condition at chemically patterned surfaces: A continuum deduction from molecular dynamics
We investigate the slip boundary condition for single-phase flow past a
chemically patterned surface. Molecular dynamics (MD) simulations show that
modulation of fluid-solid interaction along a chemically patterned surface
induces a lateral structure in the fluid molecular organization near the
surface. Consequently, various forces and stresses in the fluid vary along the
patterned surface. Given the presence of these lateral variations, a general
scheme is developed to extract hydrodynamic information from MD data. With the
help of this scheme, the validity of the Navier slip boundary condition is
verified for the chemically patterned surface, where a local slip length can be
defined. Based on the MD results, a continuum hydrodynamic model is formulated
using the Navier-Stokes equation and the Navier boundary condition, with a slip
length varying along the patterned surface. Steady-state velocity fields from
continuum calculations are in quantitative agreement with those from MD
simulations. It is shown that, when the pattern period is sufficiently small,
the solid surface appears to be homogeneous, with an effective slip length that
can be controlled by surface patterning. Such a tunable slip length may have
important applications in nanofluidics.Comment: 41 pages, 17 figure
Polymers Confined between Two Parallel Plane Walls
Single three dimensional polymers confined to a slab, i.e. to the region
between two parallel plane walls, are studied by Monte Carlo simulations. They
are described by -step walks on a simple cubic lattice confined to the
region . The simulations cover both regions (where is the Flory radius, with ), as
well as the cross-over region in between. Chain lengths are up to ,
slab widths up to D=120. In order to test the analysis program and to check for
finite size corrections, we actually studied three different models: (a)
Ordinary random walks (mimicking -polymers); (b) Self-avoiding walks
(SAW); and (c) Domb-Joyce walks with the self-repulsion tuned to the point
where finite size corrections for free (unrestricted) chains are minimal. For
the simulations we employ the pruned-enriched-Rosenbluth method (PERM) with
Markovian anticipation. In addition to the partition sum (which gives us a
direct estimate of the forces exerted onto the walls), we measure the density
profiles of monomers and of end points transverse to the slab, and the radial
extent of the chain parallel to the walls. All scaling laws and some of the
universal amplitude ratios are compared to theoretical predictions.Comment: 8 pages, 14 figures include
Security of Continuous Variable Quantum Cryptography
We discuss a quantum key distribution scheme in which small phase and
amplitude modulations of CW light beams carry the key information. The presence
of EPR type correlations provides the quantum protection. We identify universal
constraints on the level of shared information between the intended receiver
(Bob) and any eavesdropper (Eve) and use this to make a general evaluation of
security. We identify teleportation as an optimum eavesdropping technique.Comment: 6 figure
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