590 research outputs found
In vitro study of the electrophysiological properties of several cardioactive drugs in mammalian hearts
A virtuális turizmus értelmezési kérdései - itt van már az XR 2.0? = Interpreting virtual tourism - is XR 2.0 here already? : [absztrakt]
Nonminimal solutions to the Ginzburg-Landau equations
We use two different methods to prove the existence of novel, nonminimal and
irreducible solutions to the Ginzburg-Landau equations on closed manifolds. To
our knowledge these are the first such examples on nontrivial line bundles,
that is, with nonzero total magnetic flux.
The first method works with the 2-dimensional, critically coupled
Ginzburg-Landau theory and uses the topology of the moduli space. This method
is nonconstructive, but works for generic values of the remaining coupling
constant. We also prove the instability of these solutions.
The second method uses bifurcation theory to construct solutions, and is
applicable in higher dimensions and for noncritical couplings, but only when
the remaining coupling constant is close to the "bifurcation points", which are
characterized by the eigenvalues of a Laplace-type operator.Comment: 25 pages, no figures. Submitted version. Comments are still welcome
The Haydys monopole equation
We study complexified Bogomolny monopoles using the complex linear extension
of the Hodge star operator, these monopoles can be interpreted as solutions to
the Bogomolny equation with a complex gauge group. Alternatively, these
equations can be obtained from dimensional reduction of the Haydys instanton
equations to 3 dimensions, thus we call them Haydys monopoles. We find that
(under mild hypotheses) the smooth locus of the moduli space of finite energy
Haydys monopoles on is a hyperk\"ahler manifold in 3 different
ways, which contains the ordinary Bogomolny moduli space as a complex
Lagrangian submanifold---an (ABA)-brane---with respect to any of these
structures. Moreover, using a gluing construction we construct an open
neighborhood of this submanifold modeled on a neighborhood of the zero section
in the tangent bundle to the Bogomolny moduli space. This is analogous to the
case of Higgs bundles over a Riemann surface, where the (co)tangent bundle of
holomorphic bundles canonically embeds into the Hitchin moduli space. These
results contrast immensely with the case of finite energy Kapustin--Witten
monopoles for which we have showed a vanishing theorem in [12].Comment: 30 pages, no figures,title changes made by referee's reques
On the bifurcation theory of the Ginzburg-Landau equations
We construct nonminimal and irreducible solutions to the Ginzburg-Landau
equations on closed manifolds of arbitrary dimension with trivial first real
cohomology. Our method uses bifurcation theory where the "bifurcation points"
are characterized by the eigenvalues of a Laplace-type operator. To our
knowledge these are the first such examples on nontrivial line bundles.Comment: 13 pages, no figures, submitted version, comments are welcome! Some
overlap with older versions of arXiv:2103.05613, which is now separated into
two paper
Flow-based Capacity Allocation in the CEE Electricity Market: Sensitivity Analysis, Multiple Optima, Total Revenue
The paper introduces the mechanism of the Flow-based Capacity Allocation (FBA) method on the electricity market of the Central-Eastern Europe (CEE) Region, proposed by the Central Allocation Office (CAO). The method is a coordinated heterogeneous multi-unit uniform price auction where the allocation is determined by the solution of a linear programming problem. On one hand, the properties of the underlying linear programming problem are discussed: the possibilities of multiple solutions are analysed, then a non-standard sensitivity analysis method of the market spread auction is developed. On the other hand, a global optimization problem is presented that yields uniform auction prices corresponding to higher total income than at the original allocation method. Several numerical examples and results of practical test problems are presented
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