881 research outputs found
Picone identities for ordinary differential equations of fourth order
It is known that there are two kinds of Picone identities for fourth order ordinary differential equations. A new type of Picone identity is established, and Sturmian comparison theorems are derived
Multiplexed quantum repeaters based on single-photon interference with mild stabilization
Quantum repeaters are pivotal in the physical layer of the quantum internet.
For its development, quantum repeaters capable of efficient entanglement
distribution are necessary. Quantum repeater schemes based on single-photon
interference are promising due to their potential efficiency. However, schemes
involving first-order interference with photon sources at distant nodes require
stringent phase stability in the components, which poses challenges for
long-distance implementation. In this paper, we present a quantum repeater
scheme that leverages single-photon interference with reduced difficulty of
phase stabilization. Additionally, under specific conditions, we demonstrate
that our scheme achieves a higher entanglement distribution rate between end
nodes compared to existing schemes. This approach, implementable using only
feasible technologies including multimode quantum memories and two-photon
sources, offers high entanglement distribution rates and mild phase
stabilization, leading to the development of multimode quantum repeaters
Generic transport coefficients of a confined electrolyte solution
Physical parameters characterising electrokinetic transport in a confined
electrolyte solution are reconstructed from the generic transport coefficients
obtained within the classical non-equilibrium statistical thermodynamic
framework. The electro-osmotic flow, the diffusio-osmotic flow, the osmotic
current, as well as the pressure-driven Poiseuille-type flow, the electric
conduction, and the ion diffusion, are described by this set of transport
coefficients. The reconstruction is demonstrated for an aqueous NaCl solution
between two parallel charged surfaces with a nanoscale gap, by using the
molecular dynamic (MD) simulations. A Green-Kubo approach is employed to
evaluate the transport coefficients in the linear-response regime, and the
fluxes induced by the pressure, electric, and chemical potential fields are
compared with the results of non-equilibrium MD simulations. Using this
numerical scheme, the influence of the salt concentration on the transport
coefficients is investigated. Anomalous reversal of diffusio-osmotic current,
as well as that of electro-osmotic flow, is observed at high surface charge
densities and high added-salt concentrations.Comment: 6 pages with 6 figure
The units of a partial Burnside ring relative to the Young subgroups of a symmetric group
The unit group of a partial Burnside ring relative to the Young subgroups of the symmetric group SnSn on n letters is included in the image by the tom Dieck homomorphism. As a consequence of this fact, the alternating character νnνn of SnSn is expressed explicitly as a ZZ-linear combinations of permutation characters associated with finite left SnSn-sets Sn/YSn/Y for the Young subgroups Y.Mathematics Subject Classification. Primary 19A22, Secondary 20B35; 20C15; 20C3
A Study on Notes for International Trade of the Small and Medium-Sized Traders in Osaka
商学部創設100周年 商学会設立50周年 記念特
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