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Generation of twist on magnetic flux tubes at the base of the solar convection zone
Using two-dimensional magnetohydrodynamics calculations, we investigate a
twist gen- eration mechanism on a magnetic flux tube at the base of the solar
convection zone based on the idea of Choudhuri, 2003, Sol. Phys., 215, 31 in
which a toroidal mag- netic field is wrapped by a surrounding mean poloidal
field. During generation of the twist, the flux tube follows four phases. (1)
It quickly splits into two parts with vortex motions rolling up the poloidal
magnetic field. (2) Owing to the physical mechanism similar to that of the
magneto-rotational instability, the rolled-up poloidal field is bent and
amplified. (3) The magnetic tension of the disturbed poloidal magnetic field
re- duces the vorticity, and the lifting force caused by vortical motion
decreases. (4) The flux tube gets twisted and begins to rise again without
splitting. Investigation of these processes is significant because it shows
that a flux tube without any initial twist can rise to the surface in
relatively weak poloidal fields.Comment: 10 pages, 6 figur
Detection of flux emergence, splitting, merging, and cancellation of network field. I Splitting and Merging
Frequencies of magnetic patch processes on supergranule boundary, namely flux
emergence, splitting, merging, and cancellation, are investigated through an
automatic detection. We use a set of line of sight magnetograms taken by the
Solar Optical Telescope (SOT) on board Hinode satellite. We found 1636 positive
patches and 1637 negative patches in the data set, whose time duration is 3.5
hours and field of view is 112" \times 112". Total numbers of magnetic
processes are followed: 493 positive and 482 negative splittings, 536 positive
and 535 negative mergings, 86 cancellations, and 3 emergences. Total numbers of
emergence and cancellation are significantly smaller than those of splitting
and merging. Further, frequency dependences of merging and splitting processes
on flux content are investigated. Merging has a weak dependence on flux content
only with a power- law index of 0.28. Timescale for splitting is found to be
independent of parent flux content before splitting, which corresponds to \sim
33 minutes. It is also found that patches split into any flux contents with a
same probability. This splitting has a power-law distribution of flux content
with an index of -2 as a time independent solution. These results support that
the frequency distribution of flux content in the analyzed flux range is
rapidly maintained by merging and splitting, namely surface processes. We
suggest a model for frequency distributions of cancellation and emergence based
on this idea.Comment: 32 pages, 10 figures, 1 table, accepted to Ap
Mott Transitions and d-wave Superconductivity in Half-Filled-Band Hubbard Model on Square Lattice with Geometric Frustration
Mechanisms of Mott transitions and dx2-y2-wave superconductivity (SC) are
studied in the half-filled-band Hubbard model on square lattices with a
diagonal hopping term (t'), using an optimization (or correlated) variational
Monte Carlo method. In the trial wave functions, a doublon-holon binding effect
is introduced in addition to the onsite Gutzwiller projection. We mainly treat
a d-wave singlet state and a projected Fermi sea. In both wave functions,
first-order Mott transitions without direct relevance to magnetic orders take
place at U=Uc approximately of the bandwidth for arbitrary t'/t. These
transitions originate in the binding or unbinding of a doublon to a holon.
d-wave SC appears in a narrow range immediately below Uc. The robust d-wave
superconducting correlation are necessarily accompanied by enhanced
antiferromagnetic correlation; the strength of SC becomes weak, as t'/t
increases.Comment: 18 pages, 30 figure
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