97,478 research outputs found
On the Triality Theory for a Quartic Polynomial Optimization Problem
This paper presents a detailed proof of the triality theorem for a class of
fourth-order polynomial optimization problems. The method is based on linear
algebra but it solves an open problem on the double-min duality left in 2003.
Results show that the triality theory holds strongly in a tri-duality form if
the primal problem and its canonical dual have the same dimension; otherwise,
both the canonical min-max duality and the double-max duality still hold
strongly, but the double-min duality holds weakly in a symmetrical form. Four
numerical examples are presented to illustrate that this theory can be used to
identify not only the global minimum, but also the largest local minimum and
local maximum.Comment: 16 pages, 1 figure; J. Industrial and Management Optimization, 2011.
arXiv admin note: substantial text overlap with arXiv:1104.297
Meter-baseline tests of sterile neutrinos at Daya Bay
We explore the sensitivity of an experiment at the Daya Bay site, with a
point radioactive source and a few meter baseline, to neutrino oscillations
involving one or more eV mass sterile neutrinos. We find that within a year,
the entire 3+2 and 1+3+1 parameter space preferred by global fits can be
excluded at the 3\sigma level, and if an oscillation signal is found, the 3+1
and 3+2 scenarios can be distinguished from each other at more than the 3\sigma
level provided one of the sterile neutrinos is lighter than 0.5 eV.Comment: 4 pages, 5 figures, 1 table. Version to appear in PL
Astronomy: Starbursts near and far
Observations of intensely bright star-forming galaxies both close by and in
the distant Universe at first glance seem to emphasize their similarity. But
look a little closer, and differences emerge.Comment: 6 pages including 1 figur
Topological quantum phase transitions and edge states in spin-orbital coupled Fermi gases
We study the superconducting state in the presence of spin-orbital coupling
and the Zeeman field. It is found that a phase transition from the
Fulde-Ferrell-Larkin-Ovchinnikov state to the topological superconducting state
occurs upon increasing the spin-orbital coupling. The nature of this
topological phase transition and its critical property are investigated
numerically. Physical properties of topological superconducting phase are also
explored. Moreover, the local density of states is calculated, through which
the topological feature may be tested experimentally.Comment: 11 pages, 8 figure
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