11,558 research outputs found
Holder-extendible European option: corrections and extensions
Financial contracts with options that allow the holder to extend the contract
maturity by paying an additional fixed amount found many applications in
finance. Closed-form solutions for the price of these options have appeared in
the literature for the case when the contract underlying asset follows a
geometric Brownian motion with the constant interest rate, volatility, and
non-negative "dividend" yield. In this paper, the option price is derived for
the case of the underlying asset that follows a geometric Brownian motion with
the time-dependent drift and volatility which is important to use the solutions
in real life applications. The formulas are derived for the drift that may
include non-negative or negative "dividend" yield. The latter case results in a
new solution type that has not been studied in the literature. Several
typographical errors in the formula for the holder-extendible put, typically
repeated in textbooks and software, are corrected
Influence of the sample geometry on the vortex matter in superconducting microstructures
The dependence of the vortex penetration and expulsion on the geometry of
mesoscopic superconductors is reported. Hall magnetometry measurements were
performed on a superconducting Al square and triangle. The stability of the
vortex patterns imposed by the sample geometry is discussed. The
field-temperature diagram has been reconstructed showing the transitions
between states with different vorticity. We have found that the vortex
penetration is only weakly affected by the vortex configuration inside the
sample while the expulsion is strongly controlled by the stability of the
vortex patterns. A qualitative explanation for this observation is given.Comment: 6 pages, 4 figures, accepted for publication in Phys. Rev.
Resonant Relaxation in Electroweak Baryogenesis
We compute the leading, chiral charge-changing relaxation term in the quantum
transport equations that govern electroweak baryogenesis using the closed time
path formulation of non-equilibrium quantum field theory. We show that the
relaxation transport coefficients may be resonantly enhanced under appropriate
conditions on electroweak model parameters and that such enhancements can
mitigate the impact of similar enhancements in the CP-violating source terms.
We also develop a power counting in the time and energy scales entering
electroweak baryogenesis and include effects through second order in ratios
of the small and large scales. We illustrate the implications of the
resonantly enhanced terms using the Minimal
Supersymmetric Standard Model, focusing on the interplay between the
requirements of baryogenesis and constraints obtained from collider studies,
precision electroweak data, and electric dipole moment searches.Comment: 30 pages plus appendices, 7 figure
CP-odd Phase Correlations and Electric Dipole Moments
We revisit the constraints imposed by electric dipole moments (EDMs) of
nucleons and heavy atoms on new CP-violating sources within supersymmetric
theories. We point out that certain two-loop renormalization group corrections
induce significant mixing between the basis-invariant CP-odd phases. In the
framework of the constrained minimal supersymmetric standard model (CMSSM), the
CP-odd invariant related to the soft trilinear A-phase at the GUT scale,
theta_A, induces non-trivial and distinct CP-odd phases for the three gaugino
masses at the weak scale. The latter give one-loop contributions to EDMs
enhanced by tan beta, and can provide the dominant contribution to the electron
EDM induced by theta_A. We perform a detailed analysis of the EDM constraints
within the CMSSM, exhibiting the reach, in terms of sparticle spectra, which
may be obtained assuming generic phases, as well as the limits on the CP-odd
phases for some specific parameter points where detailed phenomenological
studies are available. We also illustrate how this reach will expand with
results from the next generation of experiments which are currently in
development.Comment: 31 pages, 21 eps figures; v2: additional remarks on 2-loop threshold
corrections and references added; v3: typos corrected, to appear in Phys.
Rev.
Is Sustainable Development of Deserts Feasible?
Hot deserts that presently cover about one-fifth of the land area of our planet are rapidly devouring more and more arable lands mostly due to anthropogenic causes. We propose an interdisciplinary approach to revitalizing and commercializing hot deserts, which is based on systems thinking and Russian and NASA space technology experience in designing life-support systems for long-duration flights. We formulate ten principles for the design of sustainable life support systems in deserts, which can make the development of the deserts feasible. It is discussed how the principles can be employed to design and operate desert’s eco-industrial parks with greenhouses in which the transpired and evaporated moisture is collected and condensed. The potential benefits of setting up the eco-industrial parks in deserts include the slowdown and eventual reversal of the desertification trend, the migration of many industrial production facilities from mild-climate regions to deserts, the increased availability of potable water and food in deserts, the development of poor African countries, and the emergence of new investment markets
s-Channel Production of MSSM Higgs Bosons at a Muon Collider with Explicit CP Violation
A muon collider with controllable energy resolution and transverse beam
polarization provides a powerful probe of the Higgs sector in the minimal
supersymmetric standard model with explicit CP violation, through s-channel
production of Higgs bosons. The production rates and the CP-even and CP-odd
transverse-polarization asymmetries are complementary in diagnosing CP
violation in the Higgs sector.Comment: 12 pages, 5 figures. Some statements for clarity and references
added. To appear in Phys. Rev.
Surface Electronic Structures and Field Emission Currents at Sodium Overlayers on Low-Index Tungsten Surfaces
The total energy distributions (TEDs) of the emission currents in field
emission and surface photofield emission and the overlayer-induced
modifications in the surface electronic structures from the technologically
important W surfaces with the commensurate W(100)/Na c(2x2), W(110)/Na (2x2)
and W(111)/Na (1x1) overlayers are calculated. The TEDs obtained by our recent
numerical method that extends the full-potential linear augmented plane wave
method for the electronic structures to the study of field and photofield
emission are used to interpret the shifts of the peaks in the experimental TEDs
in field emission and photofield emission from the W(100) and W(110) surfaces
at sub-monolayer and monolayer Na coverage. Hybridization of the 3s Na states
with the pairs of dz2-like surface states of the strong Swanson hump in clean
W(100) and surface resonances in clean W(111) below the Fermi energy shifts
these W states by about -1.2 eV and -1.0 eV, thus stabilizing these states, to
yield new strong peaks in the TEDs in field emission and photofield emission
from W(100)/Na c(2x2) and W(111)/Na (1x1) respectively. The effect of Na
intralayer interactions are discussed and are shown to shift the strong s- and
p-like peaks in the surface density of states of W(110) below and above the
Fermi energy respectively to lower energy with increased Na coverage, in
agreement with experiments.Comment: 12 page
Smith predictor with sliding mode control for processes with large dead times
The paper discusses the Smith Predictor scheme with Sliding Mode Controller (SP-SMC) for processes with large dead times. This technique gives improved load-disturbance rejection with optimum input control signal variations. A power rate reaching law is incorporated in the sporadic part of sliding mode control such that the overall performance recovers meaningfully. The proposed scheme obtains parameter values by satisfying a new performance index which is based on biobjective constraint. In simulation study, the efficiency of the method is evaluated for robustness and transient performance
over reported technique
On the EDM Cancellations in D-brane models
We analyze the possibility of simultaneous electron, neutron, and mercury
electric dipole moment (EDM) cancellations in the mSUGRA and D--brane models.
We find that the mercury EDM constraint practically rules out the cancellation
scenario in D-brane models whereas in the context of mSUGRA it is still allowed
with some fine-tuning.Comment: 10 pages, to appear in Phys. Rev. Let
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