137,059 research outputs found
Tunneling and delocalization in hydrogen bonded systems: a study in position and momentum space
Novel experimental and computational studies have uncovered the proton
momentum distribution in hydrogen bonded systems. In this work, we utilize
recently developed open path integral Car-Parrinello molecular dynamics
methodology in order to study the momentum distribution in phases of high
pressure ice. Some of these phases exhibit symmetric hydrogen bonds and quantum
tunneling. We find that the symmetric hydrogen bonded phase possesses a
narrowed momentum distribution as compared with a covalently bonded phase, in
agreement with recent experimental findings. The signatures of tunneling that
we observe are a narrowed distribution in the low-to-intermediate momentum
region, with a tail that extends to match the result of the covalently bonded
state. The transition to tunneling behavior shows similarity to features
observed in recent experiments performed on confined water. We corroborate our
ice simulations with a study of a particle in a model one-dimensional double
well potential that mimics some of the effects observed in bulk simulations.
The temperature dependence of the momentum distribution in the one-dimensional
model allows for the differentiation between ground state and mixed state
tunneling effects.Comment: 14 pages, 13 figure
Spatiotemporal instability of a confined capillary jet
Recent experimental studies on the instability appearance of capillary jets
have revealed the capabilities of linear spatiotemporal instability analysis to
predict the parametrical map where steady jetting or dripping takes place. In
this work, we present an extensive analytical, numerical and experimental
analysis of confined capillary jets extending previous studies. We propose an
extended, accurate analytic model in the limit of low Reynolds flows, and
introduce a numerical scheme to predict the system response when the liquid
inertia is not negligible. Theoretical predictions show a remarkable accuracy
with results from the extensive experimental exploration provided.Comment: Submitted to the Physical Review E (20-March-2008
Bound States of Conical Singularities in Graphene-Based Topological Insulators
We investigate the electronic structure induced by wedge-disclinations
(conical singularities) in a honeycomb lattice model realizing Chern numbers
. We establish a correspondence between the bound state of (i) an
isolated -flux, (ii) an isolated pentagon or heptagon
defect with an external flux of magnitude through
the center and (iii) an isolated square or octagon defect without external
flux, where is the flux quantum. Due to the above correspondence,
the existence of isolated electronic states bound to the disclinations is
robust against various perturbations. These results are also generalized to
graphene-based time-reversal invariant topological insulators.Comment: 5+4 pages, 4+3 figures, revised introduction and Fig.
Crumpling wires in two dimensions
An energy-minimal simulation is proposed to study the patterns and mechanical
properties of elastically crumpled wires in two dimensions. We varied the
bending rigidity and stretching modulus to measure the energy allocation,
size-mass exponent, and the stiffness exponent. The mass exponent is shown to
be universal at value . We also found that the stiffness exponent
is universal, but varies with the plasticity parameters and
. These numerical findings agree excellently with the experimental
results
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