13,654 research outputs found
Physical condition and spin-resolved exchange correlation kernels in an inhomogeneous many electron system
We first exploit the spin symmetry relation for the exact exchange correlation
kernel in an inhomogeneous many electron system
with arbitrary spin polarization . The physical condition required to
satisfy the specific symmetry relation is derived and examined for simple
ferromagnetic-nonmagnetic structure by taking the electrochemical potential
into account. The condition is then applied to several composite systems useful
in spintronics applications such as the magnetic system with net spin
polarization.Comment: 5 pages, 1 figur
Superfluid-Insulator transition of ultracold atoms in an optical lattice in the presence of a synthetic magnetic field
We study the Mott insulator-superfluid transition of ultracold bosonic atoms
in a two-dimensional square optical lattice in the presence of a synthetic
magnetic field with p/q (p and q being co-prime integers) flux quanta passing
through each lattice plaquette. We show that on approach to the transition from
the Mott side, the momentum distribution of the bosons exhibits q precursor
peaks within the first magnetic Brillouin zone. We also provide an effective
theory for the transition and show that it involves q interacting boson fields.
We construct, from a mean-field analysis of this effective theory, the
superfluid ground states near the transition and compute, for q=2,3, both the
gapped and the gapless collective modes of these states. We suggest experiments
to test our theory.Comment: 4 pages, 4 figs; v
On Zero-Sum Two Person Perfect Information Stochastic Games
A zero-sum two person Perfect Information Stochastic game (PISG) under
limiting average payoff has a value and both the maximiser and the minimiser
have optimal pure stationary strategies. Firstly we form the matrix of
undiscounted payoffs corresponding to each pair of pure stationary strategies
(for each initial state) of the two players and prove that this matrix has a
pure saddle point. Then by using the results by Derman [1] we prove the
existence of optimal pure stationary strategy pair of the players. A crude but
finite step algorithm is given to compute such an optimal pure stationary
strategy pair of the players.Comment: arXiv admin note: text overlap with arXiv:2201.0017
Normalised Root Mean Square and Amplitude of Sidebands of Vibration Response as Tools for Gearbox Diagnosis
Quick assessment of the condition of gearboxes used in helicopters is a safety requirement. One of the most widely used helicopter on-board-mounted condition monitoring system these days is the Health and Usage Monitoring System. It has been specifically designed to monitor the condition of all safety-critical components operating in the helicopter through calculation of so-called condition indicators (CIs) - signal processing routines designed to output a single number that represents the condition of the monitored component. Among number of available parameters, there is a couple of CIs that over the years of testing have earned a reputation of being the most reliable measures of the gear tooth condition. At the same time, however, it has been observed that in some cases, those techniques do not properly indicate the deteriorating condition with the propagation of a gear tooth fault with the period of operation. Hence, three more robust methods have been suggested, which are discussed in this article
On Zero-Sum Two Person Perfect Information Semi-Markov Games
A zero-sum two-person Perfect Information Semi-Markov game (PISMG) under
limiting ratio average payoff has a value and both the maximiser and the
minimiser have optimal pure semi-stationary strategies. We arrive at the result
by first fixing an arbitrary initial state and forming the matrix of
undiscounted payoffs corresponding to each pair of pure stationary strategies
of the two players and proving that this matrix has a pure saddle point
Higher signal harmonics, LISA's angular resolution, and dark energy
It is generally believed that the angular resolution of the Laser
Interferometer Space Antenna (LISA) for binary supermassive black holes (SMBH)
will not be good enough to identify the host galaxy or galaxy cluster. This
conclusion, based on using only the dominant harmonic of the binary SMBH
signal, changes substantially when higher signal harmonics are included in
assessing the parameter estimation problem. We show that in a subset of the
source parameter space the angular resolution increases by more than a factor
of 10, thereby making it possible for LISA to identify the host galaxy/galaxy
cluster. Thus, LISA's observation of certain binary SMBH coalescence events
could constrain the dark energy equation of state to within a few percent,
comparable to the level expected from other dark energy missions.Comment: 15 pages, no figures. Final version to appear in Phys. Rev.
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