4,844 research outputs found
Preduals of quadratic Campanato spaces associated to operators with heat kernel bounds
Let be a nonnegative, self-adjoint operator on with
the Gaussian upper bound on its heat kernel. As a generalization of the square
Campanato space , in \cite{DXY}
the quadratic Campanato space is
defined by a variant of the maximal function associated with the semigroup
. On the basis of \cite{DX} and \cite{YY} this paper
addresses the preduality of through
an induced atom (or molecular) decomposition. Even in the case the
discovered predual result is new and natural.Comment: 19 page
ZMCintegral-v5.1: Support for Multi-function Integrations on GPUs
In this new version of ZMCintegral, we have added the functionality of
multi-function integrations, i.e. the ability to integrate more than
different functions on GPUs. The Python API remains the similar as the previous
versions. For integrands less than 5 dimensions, it usually takes less than 10
minutes to finish the evaluation of integrations on one Tesla v100
card. The performance scales linearly with the increasing of the GPUs.Comment: 5pages, 1figur
Bis(μ-biphenyl-2,2′-dicarboxylÂato)bisÂ[aquaÂ(4,4′-dimethyl-2,2′-bipyridine-κ2 N,N′)copper(II)]
The molÂecule of the title binuclear copper(II) complex, [Cu2(C14H8O4)2(C12H12N2)2(H2O)2], is bisÂected by a crystallographic twofold axis. Each CuII atom is coordinated in a distorted octaÂhedral geometry by three O atoms from two biphenÂyl-2,2′-dicarboxylÂate anions, one aqua O atom and two N atoms of a 4,4′-dimethyl-2,2′-bipyridine ligand. Intramolecular O—H⋯O hydrogen bonds between the coordinated water molecules and the carboxylate O atoms are also present
All-optical control of thermal conduction in waveguide QED
We investigate the heat conduction between two one-dimension waveguides
intermediated by a Laser-driving atom. The Laser provides the optical control
on the heat conduction. The tunable asymmetric conduction of the heat against
the temperature gradient is realized. Assisted by the modulated Laser, the heat
conduction from either waveguide to the other waveguide can be suppressed.
Meanwhile, the conduction towards the direction opposite to the suppressed one
is gained. The heat currents can be significantly amplified by the energy flow
of the Laser. Moveover, the scheme can act like a heat engine
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