9,717 research outputs found
Stability of the Accretion Flows with Stalled Shocks in Core-Collapse Supernovae
Bearing in mind the application to the theory of core-collapse supernovae, we
performed a global linear analysis on the stability of spherically symmetric
accretion flows through a standing shock wave onto a proto neutron star. As
unperturbed flows, we adopted the spherically symmetric steady solutions to the
Euler equations obtained with realistic equation of state and formulae for
neutrino reaction rates taken into account. Then we solved the equations for
linear perturbations numerically, and obtained the eigen frequencies and eigen
functions. We found (1) the flows are stable for all modes if the neutrino
luminosity is lower than ergs/s for
. (2) For larger luminosities, the non-radial
instabilities are induced, probably via the advection-acoustic cycles.
Interestingly, the modes with and 3 become unstable at first for
relatively low neutrino luminosities, e.g. ergs/s
for the same accretion rate, whereas the mode is the most unstable for
higher luminosities, ergs/s. These are all oscillatory
modes. (3) For still larger luminosities, ergs/s for
, non-oscillatory modes, both radial and
non-radial, become unstable. These non-radial modes were identified as
convection. We confirmed the results obtained by numerical simulations that the
instabilities induced by the advection-acoustic cycles are more important than
the convection for lower neutrino luminosities.Comment: 46 pages, 19 figures, Accepted by Ap
Low-scale Supersymmetry from Inflation
We investigate an inflation model with the inflaton being identified with a
Higgs boson responsible for the breaking of U(1)B-L symmetry. We show that
supersymmetry must remain a good symmetry at scales one order of magnitude
below the inflation scale, in order for the inflation model to solve the
horizon and flatness problems, as well as to account for the observed density
perturbation. The upper bound on the soft supersymmetry breaking mass lies
between 1TeV and 10^3TeV. Interestingly, our finding opens up a possibility
that universes with the low-scale supersymmetry are realized by the
inflationary selection. Our inflation model has rich implications; non-thermal
leptogenesis naturally works, and the gravitino and moduli problems as well as
the moduli destabilization problem can be solved or ameliorated; the
standard-model higgs boson receives a sizable radiative correction if the
supersymmertry breaking takes a value on the high side ~10^3TeV.Comment: 23pages, 3 figures. v2: references adde
Interacting Dipoles in Type-I Clathrates: Why Glass-like though Crystal?
Almost identical thermal properties of type-I clathrate compounds to those of
glasses follow naturally from the consideration that off-centered guest ions
possess electric dipole moments. Local fields from neighbor dipoles create many
potential minima in the configuration space. A theoretical analysis based on
two-level tunneling states demonstrates that interacting dipoles are a key to
quantitatively explain the glass-like behaviors of low-temperature thermal
properties of type-I clathrate compounds with off-centered guest ions.From this
analysis, we predict the existence of a glass transition
Non-trivial Center Dominance in High Temperature QCD
We investigate the properties of quarks and gluons above the chiral phase
transition temperature using the RG improved gauge action and the Wilson
quark action with two degenerate quarks mainly on a lattice. In
the one-loop perturbation theory, the thermal ensemble is dominated by the
gauge configurations with effectively center twisted boundary
conditions, making the thermal expectation value of the spatial Polyakov loop
take a non-trivial center. This is in agreement with our lattice
simulation of high temperature QCD. We further observe that the temporal
propagator of massless quarks at extremely high temperature remarkably agrees with the temporal propagator of free
quarks with the twisted boundary condition for , but
differs from that with the trivial boundary condition. As we increase
the mass of quarks , we find that the thermal ensemble continues to be
dominated by the twisted gauge field configurations as long as and above that the trivial configurations come in. The
transition is essentially identical to what we found in the departure from the
conformal region in the zero-temperature many-flavor conformal QCD on a finite
lattice by increasing the mass of quarks. We argue that the behavior is
consistent with the renormalization group analysis at finite temperature.Comment: 16 pages, 9 figures; 4 tables, an appendix adde
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