453 research outputs found
Decentralized dynamic processes for finding equilibrium
This paper describes a class of decentralized dynamic processes designed to converge to equilibrium when the equilibrium equations are linear. These processes can also be viewed as distributed algorithms for solving systems of linear equations, or as learning algorithms. The class includes processes that use a message space larger by one binary digit than the space in which the equilibrium exists. However, memory and time requirements increase exponentially with the number of agents (equations).Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/30135/1/0000512.pd
Depth-dependent ordering, two-length-scale phenomena and crossover behavior in a crystal featuring a skin-layer with defects
Structural defects in a crystal are responsible for the "two length-scale"
behavior, in which a sharp central peak is superimposed over a broad peak in
critical diffuse X-ray scattering. We have previously measured the scaling
behavior of the central peak by scattering from a near-surface region of a V2H
crystal, which has a first-order transition in the bulk. As the temperature is
lowered toward the critical temperature, a crossover in critical behavior is
seen, with the temperature range nearest to the critical point being
characterized by mean field exponents. Near the transition, a small two-phase
coexistence region is observed. The values of transition and crossover
temperatures decay with depth. An explanation of these experimental results is
here proposed by means of a theory in which edge dislocations in the
near-surface region occur in walls oriented in the two directions normal to the
surface. The strain caused by the dislocation lines causes the ordering in the
crystal to occur as growth of roughly cylindrically shaped regions. After the
regions have reached a certain size, the crossover in the critical behavior
occurs, and mean field behavior prevails. At a still lower temperature, the
rest of the material between the cylindrical regions orders via a weak
first-order transition.Comment: 12 pages, 8 figure
Fragmentation of exotic oxygen isotopes
Abrasion-ablation models and the empirical EPAX parametrization of projectile fragmentation are described. Their cross section predictions are compared to recent data of the fragmentation of secondary beams of neutron-rich, unstable 19,20,21O isotopes at beam energies near 600 MeV/nucleon as well as data for stable 17,18O beams
First Results on In-Beam gamma Spectroscopy of Neutron-Rich Na and Mg Isotopes at REX-ISOLDE
After the successful commissioning of the radioactive beam experiment at
ISOLDE (REX-ISOLDE) - an accelerator for exotic nuclei produced by ISOLDE -
first physics experiments using these beams were performed. Initial experiments
focused on the region of deformation in the vicinity of the neutron-rich Na and
Mg isotopes. Preliminary results show the high potential and physics
opportunities offered by the exotic isotope accelerator REX in conjunction with
the modern Germanium gamma spectrometer MINIBALL.Comment: 7 pages, RNB6 conference contributio
Holes in the t-J_z model: a thorough study
The t-J_z model is the strongly anisotropic limit of the t-J model which
captures some general properties of the doped antiferromagnets (AF). The
absence of spin fluctuations simplifies the analytical treatment of hole motion
in an AF background and allows us to calculate the single- and two-hole spectra
with high accuracy using regular diagram technique combined with real-space
approach. At the same time, numerical studies of this model via exact
diagonalization (ED) on small clusters show negligible finite size effects for
a number of quantities, thus allowing a direct comparison between analytical
and numerical results. Both approaches demonstrate that the holes have tendency
to pair in the p- and d-wave channels at realistic values of t/J. The
interactions leading to pairing and effects selecting p and d waves are
thoroughly investigated. The role of transverse spin fluctuations is considered
using perturbation theory. Based on the results of the present study, we
discuss the pairing problem in the realistic t-J-like model. Possible
implications for preformed pairs formation and phase separation are drawn.Comment: 21 pages, 15 figure
"Safe" Coulomb Excitation of 30Mg
We report on the first radioactive beam experiment performed at the recently
commissioned REX-ISOLDE facility at CERN in conjunction with the highly
efficient gamma spectrometer MINIBALL. Using 30Mg ions accelerated to an energy
of 2.25 MeV/u together with a thin nat-Ni target, Coulomb excitation of the
first excited 2+ states of the projectile and target nuclei well below the
Coulomb barrier was observed. From the measured relative de-excitation gamma
ray yields the B(E2; 0+ -> 2+) value of 30Mg was determined to be 241(31)
e2fm4. Our result is lower than values obtained at projectile fragmentation
facilities using the intermediate-energy Coulomb excitation method, and
confirms the theoretical conjecture that the neutron-rich magnesium isotope
30Mg lies still outside the ``island of inversion''
Two-hole problem in the t-J model: A canonical transformation approach
The t-J model in the spinless-fermion representation is studied. An effective
Hamiltonian for the quasiparticles is derived using canonical transformation
approach. It is shown that the rather simple form of the transformation
generator allows to take into account effect of hole interaction with the
short-range spin waves and to describe the single-hole groundstate. Obtained
results are very close to ones of the self-consistent Born approximation.
Further accounting for the long-range spin-wave interaction is possible on the
perturbative basis. Both spin-wave exchange and an effective interaction due to
minimization of the number of broken antiferromagnetic bonds are included in
the effective quasiparticle interaction. Two-hole bound state problem is solved
using Bethe-Salpeter equation. The only d-wave bound state is found to exist in
the region of 1< (t/J) <5. Combined effect of the pairing interactions of both
types is important to its formation. Discussion of the possible relation of the
obtained results to the problem of superconductivity in real systems is
presented.Comment: 19 pages, RevTeX, 12 postscript figure
Search for {\eta}'(958)-nucleus bound states by (p,d) reaction at GSI and FAIR
The mass of the {\eta}' meson is theoretically expected to be reduced at
finite density, which indicates the existence of {\eta}'-nucleus bound states.
To investigate these states, we perform missing-mass spectroscopy for the (p,
d) reaction near the {\eta}' production threshold. The overview of the
experimental situation is given and the current status is discussed.Comment: 6 pages, 3 figures; talk at II Symposium on applied nuclear physics
and innovative technologies, September 24th - 27th, 2014, Jagiellonian
University, Krak\'ow Poland; to appear in Acta Physica Polonica
Spectroscopy of -nucleus bound states at GSI and FAIR --- very preliminary results and future prospects ---
The possible existence of \eta'-nucleus bound states has been put forward
through theoretical and experimental studies. It is strongly related to the
\eta' mass at finite density, which is expected to be reduced because of the
interplay between the anomaly and partial restoration of chiral
symmetry. The investigation of the C(p,d) reaction at GSI and FAIR, as well as
an overview of the experimental program at GSI and future plans at FAIR are
discussed.Comment: 7 pages, 3 figures; talk at the International Conference on Exotic
Atoms and Related Topics (EXA2014), Vienna, Austria, 15-19 September 2014. in
Hyperfine Interactions (2015
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