336 research outputs found
Conditions for Almost Global Attractivity of a Synchronous Generator Connected to an Infinite Bus
Conditions for existence and global attractivity of the equilibria of a realistic model of a synchronous generator with constant field current connected to an infinite bus are derived. First, necessary and sufficient conditions for existence and uniqueness of equilibrium points are provided. Then, sufficient conditions for local asymptotic stability and almost global attractivity of one of these equilibria are given. The analysis is carried out by employing a new Lyapunov–like function to establish convergence of bounded trajectories, while the latter is proven using the powerful theoretical framework of cell structures pioneered by Leonov and Noldus. The efficiency of the derived sufficient conditions is illustrated via extensive numerical experiments based on two benchmark examples taken from the literature
Almost Global Attractivity of a Synchronous Generator Connected to an Infinite Bus
The problem of deriving verifiable conditions for stability of the equilibria of a realistic model of a synchronous generator with constant field current connected to an infinite bus is studied in the paper. Necessary and sufficient conditions for existence and uniqueness of equilibrium points are provided. Furthermore, sufficient conditions for almost global attractivity are given. To carry out this analysis a new Lyapunov–like function is proposed to establish convergence of bounded trajectories, while the latter is proven using the powerful theoretical framework of cell structures pioneered by Leonov and Noldus
Relaxing the conditions of ISS for multistable periodic systems
The input-to-state stability property of nonlinear dynamical systems with multiple invariant solutions is analyzed under the assumption that the system equations are periodic with respect to certain state variables. It is shown that stability can be concluded via a sign-indefinite function, which explicitly takes the systems’ periodicity into account. The presented approach leverages some of the difficulties encountered in the analysis of periodic systems via positive definite Lyapunov functions proposed in Angeli and Efimov (2013, 2015). The new result is established based on the framework of cell structure introduced in Leonov (1974) and illustrated via the global analysis of a nonlinear pendulum with a constant persistent input
Many-Body Approch to Spin-Dependent Transport in Quantum Dot Systems
By means of a diagram technique for Hubbard operators we show the existence
of a spin-dependent renormalization of the localized levels in an interacting
region, e.g. quantum dot, modeled by the Anderson Hamiltonian with two
conduction bands. It is shown that the renormalization of the levels with a
given spin direction is due to kinematic interactions with the conduction
sub-bands of the opposite spin. The consequence of this dressing of the
localized levels is a drastically decreased tunneling current for
ferromagnetically ordered leads compared to that of paramagnetically ordered
leads. Furthermore, the studied system shows a spin-dependent resonant
tunneling behaviour for ferromagnetically ordered leads.Comment: 8 pages, 5 figure
The J_1-J_2 antiferromagnet with Dzyaloshinskii-Moriya interaction on the square lattice: An exact diagonalization study
We examine the influence of an anisotropic interaction term of
Dzyaloshinskii-Moriya (DM) type on the groundstate ordering of the J_1-J_2
spin-1/2-Heisenberg antiferromagnet on the square lattice. For the DM term we
consider several symmetries corresponding to different crystal structures. For
the pure J_1-J_2 model there are strong indications for a quantum spin liquid
in the region of 0.4 < J_2/J_1 < 0.65. We find that a DM interaction influences
the breakdown of the conventional antiferromagnetic order by i) shifting the
spin liquid region, ii) changing the isotropic character of the groundstate
towards anisotropic correlations and iii) creating for certain symmetries a net
ferromagnetic moment.Comment: 7 pages, RevTeX, 6 ps-figures, to appear in J. Phys.: Cond. Ma
A Relaxed Characterization of ISS for Periodic Systems with Multiple Invariant Sets
A necessary and sufficient criterion to establish input-to-state stability (ISS) of nonlinear dynamical systems, the dynamics of which are periodic with respect to certain state variables and which possess multiple invariant solutions (equilibria, limit cycles, etc.), is provided. Unlike standard Lyapunov approaches, the condition is relaxed and formulated via a sign-indefinite function with sign-definite derivative, and by taking the system’s periodicity explicitly into account. The new result is established by using the framework of cell structure and it complements the ISS theory of multistable dynamics for periodic systems. The efficiency of the proposed approach is illustrated via the global analysis of a nonlinear pendulum with constant persistent input
Time Reversal Invariance Violating and Parity Conserving effects in Neutron Deuteron Scattering
Time reversal invariance violating parity conserving effects for low energy
elastic neutron deuteron scattering are calculated for meson exchange and
EFT-type of potentials in a Distorted Wave Born Approximation, using realistic
hadronic wave functions, obtained by solving three-body Faddeev equations in
configuration space.Comment: There was a technical mistake in calculations due to singular
behavior of Yukawa functions at short range. We corrected the integration
algorithm. There were some typos which are corrected. arXiv admin note: text
overlap with arXiv:1104.305
Origin of spin-gap in CaVO: effect of frustration and lattice distortion
We study the origin of spin-gap in recently discovered material CaVO.
We analyze the spin- Heisenberg model on the depleted square lattice
with nearest neighbor (nn) and next nearest neighbor (nnn) interactions, in
terms of the singlet and triplet states of the 4-spin plaquettes and 2-spin
dimers. Phase diagram of the model is obtained within a linear
``spin-wave"-like approximation, and is shown to agree well with the earlier
results of QMC simulations for nn interactions. We further propose that the
special lattice structure of CaVO naturally leads to lattice
distortions, which enhances the spin-gap via a spin-Peierls mechanism.Comment: 4 pages, RevTex, 2 postscript figures. Latex file and figures have
been uuencode
Hole motion in the Ising antiferromagnet: an application of the recursion method
We study hole motion in the Ising antiferromagnet using the recursion method.
Using the retraceable path approximation we find the hole's Green's function as
well as its wavefunction for arbitrary values of . The effect of small
transverse interaction also is taken into account. Our results provide some
additional insight into the self-consistent Born approximation.Comment: 8 pages, RevTex, no figures. Accepted for publication in Phys.Rev.
Diagrammatic theory for Anderson Impurity Model. Stationary property of the thermodynamic potential
A diagrammatic theory around atomic limit is proposed for normal state of
Anderson Impurity Model. The new diagram method is based on the ordinary Wick's
theorem for conduction electrons and a generalized Wick's theorem for gtrongly
correlated impurity electrons. This last theorem coincides with the definition
of Kubo cumulants. For the mean value of the evolution operator a linked
cluster theorem is proved and a Dyson's type equations for one-particle
propagators are established. The main element of these equations is the
correlation function which contains the spin, charge and pairing fluctuations
of the system. The thermodynamic potential of the system is expressed through
one-particle renormalized Green's functions and the corelation function. The
stationary property of the thermodynamic potential is established with respect
to the changes of correlation function.Comment: 7 pages, 6 figures, Submitted to PR
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