10,734 research outputs found
Nucleation in binary polymer blends: A self-consistent field study
We study the structure and thermodynamics of the critical nuclei in metastable binary polymer blends using the self-consistent field method. At the mean-field level, our results are valid throughout the entire metastable region and provide a smooth crossover from the classical capillary-theory predictions near the coexistence curve to the density functional predictions of Cahn and Hilliard (properly transcribed into expressions involving the parameters of the binary polymer blends) near the spinodal. An estimate of the free energy barrier provides a quantitative criterion (the Ginzburg criterion) for the validity of the (mean-field) self-consistent approach. The region where mean-field theory is valid and where there can be a measurable nucleation rate is shown to be poorly described by the existing limiting theories; our predictions are therefore most relevant in this region. We discuss our results in connection with recent experimental observations by Balsara and co-workers
Geometric Mean Neutrino Mass Relation
Present experimental data from neutrino oscillations have provided much
information about the neutrino mixing angles. Since neutrino oscillations only
determine the mass squared differences , the
absolute values for neutrino masses can not be determined using data just
from oscillations. In this work we study implications on neutrino masses from a
geometric mean mass relation which enables one to
determined the absolute masses of the neutrinos. We find that the central
values of the three neutrino masses and their errors to be , , and . Implications for cosmological observation, beta decay and
neutrinoless double beta decays are discussed.Comment: 7 pages. Talk given at COSPA06. A reference adde
Gaussian Process Model Predictive Control of An Unmanned Quadrotor
The Model Predictive Control (MPC) trajectory tracking problem of an unmanned
quadrotor with input and output constraints is addressed. In this article, the
dynamic models of the quadrotor are obtained purely from operational data in
the form of probabilistic Gaussian Process (GP) models. This is different from
conventional models obtained through Newtonian analysis. A hierarchical control
scheme is used to handle the trajectory tracking problem with the translational
subsystem in the outer loop and the rotational subsystem in the inner loop.
Constrained GP based MPC are formulated separately for both subsystems. The
resulting MPC problems are typically nonlinear and non-convex. We derived 15 a
GP based local dynamical model that allows these optimization problems to be
relaxed to convex ones which can be efficiently solved with a simple active-set
algorithm. The performance of the proposed approach is compared with an
existing unconstrained Nonlinear Model Predictive Control (NMPC). Simulation
results show that the two approaches exhibit similar trajectory tracking
performance. However, our approach has the advantage of incorporating
constraints on the control inputs. In addition, our approach only requires 20%
of the computational time for NMPC.Comment: arXiv admin note: text overlap with arXiv:1612.0121
Probing scalar meson structures in decays into pseudoscalar and scalar
We evaluate the decay branching ratios of , in a quark model
parametrization scheme, where and stand for pseudoscalar and scalar
meson, respectively. An interesting feature of this decay process is that the
annihilate via the pQCD hair-pin diagram is supposed to be dominant.
Hence, this decay process should be sensitive to the quark components of the
final-state light mesons, and would provide a great opportunity for testing the
mixing relations among the scalar mesons, i.e. , and
, by tagging the final state pseudoscalar mesons.Comment: 9 pages and 6 eps figures; Enhanced discussion on the dominance of
hair-pin diagram is added. Revised version to appear in IJMP
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