190,961 research outputs found
Decentralized Delay Optimal Control for Interference Networks with Limited Renewable Energy Storage
In this paper, we consider delay minimization for interference networks with
renewable energy source, where the transmission power of a node comes from both
the conventional utility power (AC power) and the renewable energy source. We
assume the transmission power of each node is a function of the local channel
state, local data queue state and local energy queue state only. In turn, we
consider two delay optimization formulations, namely the decentralized
partially observable Markov decision process (DEC-POMDP) and Non-cooperative
partially observable stochastic game (POSG). In DEC-POMDP formulation, we
derive a decentralized online learning algorithm to determine the control
actions and Lagrangian multipliers (LMs) simultaneously, based on the policy
gradient approach. Under some mild technical conditions, the proposed
decentralized policy gradient algorithm converges almost surely to a local
optimal solution. On the other hand, in the non-cooperative POSG formulation,
the transmitter nodes are non-cooperative. We extend the decentralized policy
gradient solution and establish the technical proof for almost-sure convergence
of the learning algorithms. In both cases, the solutions are very robust to
model variations. Finally, the delay performance of the proposed solutions are
compared with conventional baseline schemes for interference networks and it is
illustrated that substantial delay performance gain and energy savings can be
achieved
Delay-Optimal User Scheduling and Inter-Cell Interference Management in Cellular Network via Distributive Stochastic Learning
In this paper, we propose a distributive queueaware intra-cell user
scheduling and inter-cell interference (ICI) management control design for a
delay-optimal celluar downlink system with M base stations (BSs), and K users
in each cell. Each BS has K downlink queues for K users respectively with
heterogeneous arrivals and delay requirements. The ICI management control is
adaptive to joint queue state information (QSI) over a slow time scale, while
the user scheduling control is adaptive to both the joint QSI and the joint
channel state information (CSI) over a faster time scale. We show that the
problem can be modeled as an infinite horizon average cost Partially Observed
Markov Decision Problem (POMDP), which is NP-hard in general. By exploiting the
special structure of the problem, we shall derive an equivalent Bellman
equation to solve the POMDP problem. To address the distributive requirement
and the issue of dimensionality and computation complexity, we derive a
distributive online stochastic learning algorithm, which only requires local
QSI and local CSI at each of the M BSs. We show that the proposed learning
algorithm converges almost surely (with probability 1) and has significant gain
compared with various baselines. The proposed solution only has linear
complexity order O(MK)
Transition Temperature of a Uniform Imperfect Bose Gas
We calculate the transition temperature of a uniform dilute Bose gas with
repulsive interactions, using a known virial expansion of the equation of
state. We find that the transition temperature is higher than that of an ideal
gas, with a fractional increase K_0(na^3)^{1/6}, where n is the density and a
is the S-wave scattering length, and K_0 is a constant given in the paper. This
disagrees with all existing results, analytical or numerical. It agrees exactly
in magnitude with a result due to Toyoda, but has the opposite sign.Comment: Email correspondence to [email protected] ; 2 pages using REVTe
Multiple H-Rearrangements in 10-Benzylthio-dithranol Radical Cations
10-Alkylthio- and 10-arylthio-derivatives of dithranol (anthralin;
1,8-dihydroxy-9-anthrone) are of interest in search for new anti-psoriatic
agents2 , 3 ). By working out ms procedures for unequivocal identification of
trace amounts of these compounds4 ) it was established that in case of
10-phenylthio-dithranol putative by-products, especially one giving rise to
ions at m/z = 226 (dithranol), are artefacts of thermal reaction in the mass
spectrometer1). In the EI-MS of those 10-substituted dithranols containing
a S-CH2R chain, however, these ions (m/z = 226) arise from M + * as well.
Scope and mechanism of their formation was examined by analyzing
compound 1 and its D-labelled derivatives 2 and 3
Two-component Fermi gas with a resonant interaction
We consider a two-component Fermi gas interacting via a Feshbach molecular
state. It is shown that an important energy scale is
where is the Feshbach coupling constant and the mass of the particles.
Only when where is the Fermi
energy can the gas be expected to enter a universal state in the unitarity
limit on the atomic side of the resonance where there are no molecules present.
The universal state is distinct from the molecular gas state on the other side
of the resonance. We furthermore calculate the energy of the gas for this
universal state and our results are related to current experiments on Li
and K.Comment: 4 pages, 2 figure
Fluctuations and correlations in rotating Bose-Einstein condensates
We investigate the effects of correlations on the properties of the ground
state of the rotating harmonically-trapped Bose gas by adding Bogoliubov
fluctuations to the mean-field ground state of an -particle single-vortex
system. We demonstrate that the fluctuation-induced correlations lower the
energy compared to that of the mean-field ground state, that the vortex core is
pushed slightly away from the center of the trap, and that an unstable mode
with negative energy (for rotations slower than a critical frequency) emerges
in the energy spectrum, thus, pointing to a better state for slow rotation. We
construct mean-field ground states of 0-, 1-, and 2-vortex states as a function
of rotation rate and determine the critical frequencies for transitions between
these states, as well as the critical frequency for appearance of a metastable
state with an off-center vortex and its image vortex in the evanescent tail of
the cloud.Comment: Added a paragraph to Section III; Revised arguments in Section III.A,
results unchanged; Added reference
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