277 research outputs found
Anomalous tunneling of bound pairs in crystal lattices
A novel method of solving scattering problems for bound pairs on a lattice is
developed. Two different break ups of the hamiltonian are employed to calculate
the full Green operator and the wave function of the scattered pair. The
calculation converges exponentially in the number of basis states used to
represent the non-translation invariant part of the Green operator. The method
is general and applicable to a variety of scattering and tunneling problems. As
the first application, the problem of pair tunneling through a weak link on a
one-dimensional lattice is solved. It is found that at momenta close to \pi the
pair tunnels much easier than one particle, with the transmission coefficient
approaching unity. This anomalously high transmission is a consequence of the
existence of a two-body resonant state localized at the weak link.Comment: REVTeX, 5 pages, 4 eps figure
Dislocation constriction and cross-slip in Al and Ag: an ab initio study
A novel model based on the Peierls framework of dislocations is developed.
The new theory can deal with a dislocation spreading at more than one slip
planes. As an example, we study dislocation cross-slip and constriction process
of two fcc metals, Al and Ag. The energetic parameters entering the model are
determined from ab initio calculations. We find that the screw dislocation in
Al can cross-slip spontaneously in contrast with that in Ag, which splits into
partials and cannot cross-slip without first being constricted. The dislocation
response to an external stress is examined in detail. We determine dislocation
constriction energy and critical stress for cross-slip, and from the latter, we
estimate the cross-slip energy barrier for the straight screw dislocations
Hyperspherical theory of anisotropic exciton
A new approach to the theory of anisotropic exciton based on Fock
transformation, i.e., on a stereographic projection of the momentum to the unit
4-dimensional (4D) sphere, is developed. Hyperspherical functions are used as a
basis of the perturbation theory. The binding energies, wave functions and
oscillator strengths of elongated as well as flattened excitons are obtained
numerically. It is shown that with an increase of the anisotropy degree the
oscillator strengths are markedly redistributed between optically active and
formerly inactive states, making the latter optically active. An approximate
analytical solution of the anisotropic exciton problem taking into account the
angular momentum conserving terms is obtained. This solution gives the binding
energies of moderately anisotropic exciton with a good accuracy and provides a
useful qualitative description of the energy level evolution.Comment: 23 pages, 8 figure
Constraint satisfaction parameterized by solution size
In the constraint satisfaction problem (CSP) corresponding to a constraint
language (i.e., a set of relations) , the goal is to find an assignment
of values to variables so that a given set of constraints specified by
relations from is satisfied. The complexity of this problem has
received substantial amount of attention in the past decade. In this paper we
study the fixed-parameter tractability of constraint satisfaction problems
parameterized by the size of the solution in the following sense: one of the
possible values, say 0, is "free," and the number of variables allowed to take
other, "expensive," values is restricted. A size constraint requires that
exactly variables take nonzero values. We also study a more refined version
of this restriction: a global cardinality constraint prescribes how many
variables have to be assigned each particular value. We study the parameterized
complexity of these types of CSPs where the parameter is the required number
of nonzero variables. As special cases, we can obtain natural and
well-studied parameterized problems such as Independent Set, Vertex Cover,
d-Hitting Set, Biclique, etc.
In the case of constraint languages closed under substitution of constants,
we give a complete characterization of the fixed-parameter tractable cases of
CSPs with size constraints, and we show that all the remaining problems are
W[1]-hard. For CSPs with cardinality constraints, we obtain a similar
classification, but for some of the problems we are only able to show that they
are Biclique-hard. The exact parameterized complexity of the Biclique problem
is a notorious open problem, although it is believed to be W[1]-hard.Comment: To appear in SICOMP. Conference version in ICALP 201
Bose-Einstein Condensation of Excitons: Reply to Tikhodeev's Criticism
The extended version of our reply to Comment on ``Critical Velocities in
Exciton Superfluidity'' by S. G. Tikhodeev (Phys. Rev. Lett., 84 (2000), 3502
or from http://prl.aps.org/) is presented here. The principal question is
discussed: does the moving exciton-phonon packet contain the coherent
`nucleus', or the exciton-phonon condensate?Comment: 3 pages in LaTe
Hydrogen-enhanced local plasticity in aluminum: an ab initio study
Dislocation core properties of Al with and without H impurities are studied
using the Peierls-Nabarro model with parameters determined by ab initio
calculations. We find that H not only facilitates dislocation emission from the
crack tip but also enhances dislocation mobility dramatically, leading to
macroscopically softening and thinning of the material ahead of the crack tip.
We observe strong binding between H and dislocation cores, with the binding
energy depending on dislocation character. This dependence can directly affect
the mechanical properties of Al by inhibiting dislocation cross-slip and
developing slip planarity.Comment: 4 pages, 3 figure
Generalized stacking fault energy surfaces and dislocation properties of aluminum
We have employed the semidiscrete variational generalized Peierls-Nabarro
model to study the dislocation core properties of aluminum. The generalized
stacking fault energy surfaces entering the model are calculated by using
first-principles Density Functional Theory (DFT) with pseudopotentials and the
embedded atom method (EAM). Various core properties, including the core width,
splitting behavior, energetics and Peierls stress for different dislocations
have been investigated. The correlation between the core energetics and
dislocation character has been explored. Our results reveal a simple
relationship between the Peierls stress and the ratio between the core width
and atomic spacing. The dependence of the core properties on the two methods
for calculating the total energy (DFT vs. EAM) has been examined. The EAM can
give gross trends for various dislocation properties but fails to predict the
finer core structures, which in turn can affect the Peierls stress
significantly (about one order of magnitude).Comment: 25 pages, 12 figure
Structure and Strength of Dislocation Junctions: An Atomic Level Analysis
The quasicontinuum method is used to simulate three-dimensional
Lomer-Cottrell junctions both in the absence and in the presence of an applied
stress. The simulations show that this type of junction is destroyed by an
unzipping mechanism in which the dislocations that form the junction are
gradually pulled apart along the junction segment. The calculated critical
stress needed for breaking the junction is comparable to that predicted by line
tension models. The simulations also demonstrate a strong influence of the
initial dislocation line directions on the breaking mechanism, an effect that
is neglected in the macroscopic treatment of the hardening effect of junctions.Comment: 4 pages, 3 figure
ADULT ACGUIRED FLATFOOT DEFORMITY (REVIEW)
Flatfoot deformity represents a complex pathology often observed in active adult population. Conservative treatment does not always yield the intended outcome. Various surgical methods addressing mentioned pathology were actively developing during past decades. However, despite diversity of procedures there are many contradictions in respect of necessity and efficiency of a certain procedure especially in grades II and IV of the disease. The paper presents clinical, roentgenological and biomechanical features of acquired flatfoot deformity. The authors analyzed literature publications dedicated to different correction methods adopted in world orthopaedics
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