42 research outputs found
Looking at the bigger picture: Cortical volume, thickness and surface area characteristics in borderline personality disorder with and without posttraumatic stress disorder
Looking at the bigger picture: Cortical volume, thickness and surface area characteristics in borderline personality disorder with and without posttraumatic stress disorder
Ground-State Roughness of the Disordered Substrate and Flux Line in d=2
We apply optimization algorithms to the problem of finding ground states for
crystalline surfaces and flux lines arrays in presence of disorder. The
algorithms provide ground states in polynomial time, which provides for a more
precise study of the interface widths than from Monte Carlo simulations at
finite temperature. Using systems up to size , with a minimum of
realizations at each size, we find very strong evidence for a
super-rough state at low temperatures.Comment: 10 pages, 3 PS figures, to appear in PR
Charge-Induced Fragmentation of Sodium Clusters
The fission of highly charged sodium clusters with fissilities X>1 is studied
by {\em ab initio} molecular dynamics. Na_{24}^{4+} is found to undergo
predominantly sequential Na_{3}^{+} emission on a time scale of 1 ps, while
Na_{24}^{Q+} (5 \leq Q \leq 8) undergoes multifragmentation on a time scale
\geq 0.1 ps, with Na^{+} increasingly the dominant fragment as Q increases. All
singly-charged fragments Na_{n}^{+} up to size n=6 are observed. The observed
fragment spectrum is, within statistical error, independent of the temperature
T of the parent cluster for T \leq 1500 K. These findings are consistent with
and explain recent trends observed experimentally.Comment: To appear in Physical Review Letter
Rearrangement of cluster structure during fission processes
Results of molecular dynamics simulations of fission reactions and are presented. Dependence
of the fission barriers on isomer structure of the parent cluster is analyzed.
It is demonstrated that the energy necessary for removing homothetic groups of
atoms from the parent cluster is largely independent of the isomer form of the
parent cluster. Importance of rearrangement of the cluster structure during the
fission process is elucidated. This rearrangement may include transition to
another isomer state of the parent cluster before actual separation of the
daughter fragments begins and/or forming a "neck" between the separating
fragments
Engineering Planar Separator Algorithms
We consider classical linear-time planar separator
algorithms, determining for a given planar graph a
small subset of the nodes whose removal separates the
graph into two components of similar size. These algorithms
are based upon Planar Separator Theorems, which
guarantee separators of size asymptotically in the
square root of the number of nodes n and remaining
components of size less than 2n/3. In this work, we
present a comprehensive experimental study of the
algorithms applied to a large variety of graphs, where
the main goal is to find separators that do not only
satisfy upper bounds but also possess other desirable
qualities with respect to separator size and component
balance. We propose the usage of fundamental cycles,
whose size is at most twice the diameter of the graph, as planar
separators: For graphs of small diameter the
guaranteed bound is better than the bounds of the classical
algorithms, and it turns out that this simple strategy almost
always outperforms the other algorithms, even for graphs with
large diameter
Dissociation of vertical semiconductor diatomic artificial molecules
We investigate the dissociation of few-electron circular vertical
semiconductor double quantum dot artificial molecules at 0 T as a function of
interdot distance. Slight mismatch introduced in the fabrication of the
artificial molecules from nominally identical constituent quantum wells induces
localization by offsetting the energy levels in the quantum dots by up to 2
meV, and this plays a crucial role in the appearance of the addition energy
spectra as a function of coupling strength particularly in the weak coupling
limit.Comment: Accepted for publication in Phys. Rev. Let
Evolution of electronic and ionic structure of Mg-clusters with the growth cluster size
The optimized structure and electronic properties of neutral and singly
charged magnesium clusters have been investigated using ab initio theoretical
methods based on density-functional theory and systematic post-Hartree-Fock
many-body perturbation theory accounting for all electrons in the system. We
have systematically calculated the optimized geometries of neutral and singly
charged magnesium clusters consisting of up to 21 atoms, electronic shell
closures, binding energies per atom, ionization potentials and the gap between
the highest occupied and the lowest unoccupied molecular orbitals. We have
investigated the transition to the hcp structure and metallic evolution of the
magnesium clusters, as well as the stability of linear chains and rings of
magnesium atoms. The results obtained are compared with the available
experimental data and the results of other theoretical works.Comment: 30 pages, 10 figures, 3 table
Rough droplet model for spherical metal clusters
We study the thermally activated oscillations, or capillary waves, of a
neutral metal cluster within the liquid drop model. These deformations
correspond to a surface roughness which we characterize by a single parameter
. We derive a simple analytic approximate expression determining
as a function of temperature and cluster size. We then estimate the
induced effects on shell structure by means of a periodic orbit analysis and
compare with recent data for shell energy of sodium clusters in the size range
. A small surface roughness \AA~ is seen to
give a reasonable account of the decrease of amplitude of the shell structure
observed in experiment. Moreover -- contrary to usual Jahn-Teller type of
deformations -- roughness correctly reproduces the shape of the shell energy in
the domain of sizes considered in experiment.Comment: 20 pages, 4 figures, important modifications of the presentation, to
appear in Phys. Rev.