68,540 research outputs found
Index Policies for Optimal Mean-Variance Trade-Off of Inter-delivery Times in Real-Time Sensor Networks
A problem of much current practical interest is the replacement of the wiring
infrastructure connecting approximately 200 sensor and actuator nodes in
automobiles by an access point. This is motivated by the considerable savings
in automobile weight, simplification of manufacturability, and future
upgradability.
A key issue is how to schedule the nodes on the shared access point so as to
provide regular packet delivery. In this and other similar applications, the
mean of the inter-delivery times of packets, i.e., throughput, is not
sufficient to guarantee service-regularity. The time-averaged variance of the
inter-delivery times of packets is also an important metric.
So motivated, we consider a wireless network where an Access Point schedules
real-time generated packets to nodes over a fading wireless channel. We are
interested in designing simple policies which achieve optimal mean-variance
tradeoff in interdelivery times of packets by minimizing the sum of
time-averaged means and variances over all clients. Our goal is to explore the
full range of the Pareto frontier of all weighted linear combinations of mean
and variance so that one can fully exploit the design possibilities. We
transform this problem into a Markov decision process and show that the problem
of choosing which node's packet to transmit in each slot can be formulated as a
bandit problem. We establish that this problem is indexable and explicitly
derive the Whittle indices. The resulting Index policy is optimal in certain
cases. We also provide upper and lower bounds on the cost for any policy.
Extensive simulations show that Index policies perform better than previously
proposed policies
The Schrodinger-like Equation for a Nonrelativistic Electron in a Photon Field of Arbitrary Intensity
The ordinary Schrodinger equation with minimal coupling for a nonrelativistic
electron interacting with a single-mode photon field is not satisfied by the
nonrelativistic limit of the exact solutions to the corresponding Dirac
equation. A Schrodinger-like equation valid for arbitrary photon intensity is
derived from the Dirac equation without the weak-field assumption. The
"eigenvalue" in the new equation is an operator in a Cartan subalgebra. An
approximation consistent with the nonrelativistic energy level derived from its
relativistic value replaces the "eigenvalue" operator by an ordinary number,
recovering the ordinary Schrodinger eigenvalue equation used in the formal
scattering formalism. The Schrodinger-like equation for the multimode case is
also presented.Comment: Tex file, 13 pages, no figur
Comparison of Recoil-Induced Resonances (RIR) and Collective Atomic Recoil Laser (CARL)
The theories of recoil-induced resonances (RIR) [J. Guo, P. R. Berman, B.
Dubetsky and G. Grynberg, Phys. Rev. A {\bf 46}, 1426 (1992)] and the
collective atomic recoil laser (CARL) [ R. Bonifacio and L. De Salvo, Nucl.
Instrum. Methods A {\bf 341}, 360 (1994)] are compared. Both theories can be
used to derive expressions for the gain experienced by a probe field
interacting with an ensemble of two-level atoms that are simultaneously driven
by a pump field. It is shown that the RIR and CARL formalisms are equivalent.
Differences between the RIR and CARL arise because the theories are typically
applied for different ranges of the parameters appearing in the theory. The RIR
limit considered in this paper is , while the CARL
limit is , where is the magnitude of the
difference of the wave vectors of the pump and probe fields, is the
width of the atomic momentum distribution and is a recoil
frequency. The probe gain for a probe-pump detuning equal to zero is analyzed
in some detail, in order to understand how the gain arises in a system which,
at first glance, might appear to have vanishing gain. Moreover, it is shown
that the calculations, carried out in perturbation theory have a range of
applicability beyond the recoil problem. Experimental possibilities for
observing CARL are discussed.Comment: 16 pages, 1 figure. Submitted to Physical Review
Recommended from our members
Optimization of cool roof and night ventilation in office buildings: A case study in Xiamen, China
Increasing roof albedo (using a “cool” roof) and night ventilation are passive cooling technologies that can reduce the cooling loads in buildings, but existing studies have not comprehensively explored the potential benefits of integrating these two technologies. This study combines an experiment in the summer and transition seasons with an annual simulation so as to evaluate the thermal performance, energy savings and thermal comfort improvement that could be obtained by coupling a cool roof with night ventilation. A holistic approach integrating sensitivity analysis and multi-objective optimization is developed to explore key design parameters (roof albedo, night ventilation air change rate, roof insulation level and internal thermal mass level) and optimal design options for the combined application of the cool roof and night ventilation. The proposed approach is validated and demonstrated through studies on a six-storey office building in Xiamen, a cooling-dominated city in southeast China. Simulations show that combining a cool roof with night ventilation can significantly decrease the annual cooling energy consumption by 27% compared to using a black roof without night ventilation and by 13% compared to using a cool roof without night ventilation. Roof albedo is the most influential parameter for both building energy performance and indoor thermal comfort. Optimal use of the cool roof and night ventilation can reduce the annual cooling energy use by 28% during occupied hours when air-conditioners are on and reduce the uncomfortable time slightly during occupied hours when air-conditioners are off
Decay and Continuity of Boltzmann Equation in Bounded Domains
Boundaries occur naturally in kinetic equations and boundary effects are
crucial for dynamics of dilute gases governed by the Boltzmann equation. We
develop a mathematical theory to study the time decay and continuity of
Boltzmann solutions for four basic types of boundary conditions: inflow,
bounce-back reflection, specular reflection, and diffuse reflection. We
establish exponential decay in norm for hard potentials for
general classes of smooth domains near an absolute Maxwellian. Moreover, in
convex domains, we also establish continuity for these Boltzmann solutions away
from the grazing set of the velocity at the boundary. Our contribution is based
on a new decay theory and its interplay with delicate
decay analysis for the linearized Boltzmann equation, in the presence of many
repeated interactions with the boundary.Comment: 89 pages
Interplay between single particle coherence and kinetic energy driven superconductivity in doped cuprates
Within the kinetic energy driven superconducting mechanism, the interplay
between the single particle coherence and superconducting instability in doped
cuprates is studied. The superconducting transition temperature increases with
increasing doping in the underdoped regime, and reaches a maximum in the
optimal doping, then decreases in the overdoped regime, however, the values of
this superconducting transition temperature in the whole superconducting range
are suppressed to low temperature due to the single particle coherence. Within
this superconducting mechanism, we calculate the dynamical spin structure
factor of cuprate superconductors, and reproduce all main features of inelastic
neutron scattering experiments in the superconducting-state.Comment: 7 pages, 3 figures, typo correcte
P-wave pi pi amplitude from dispersion relations
We solve the dispersion relation for the P-wave pi pi amplitude.We discuss
the role of the left hand cut vs Castillejo-Dalitz-Dyson (CDD), pole
contribution and compare the solution with a generic quark model description.
We review the the generic properties of analytical partial wave scattering and
production amplitudes and discuses their applicability and fits of experimental
data.Comment: 10 pages, 7 figures, typos corrected, reference adde
Boost-invariant mean field approximation and the nuclear Landau-Zener effect
We investigate the relation between time-dependent Hartree-Fock (TDHF) states
and the adiabatic eigenstates by constructing a boost-invariant single-particle
Hamiltonian. The method is numerically realized within a full three-dimensional
TDHF which includes all the terms of the Skyrme energy functional and without
any symmetry restrictions. The study of a free translational motion of a
nucleus demonstrates the validity of the concept of boost-invariant and
adiabatic TDHF states. The interpretation is further corroborated by the test
case of fusion of +. As a first
application, we present a study of the nuclear Landau-Zener effect on a
collision of +.Comment: 8 pages, 3 figure
- …