5,024 research outputs found
Expansion of a finite size plasma in vacuum
The expansion dynamics of a finite size plasma is examined from an analytical
perspective. Results regarding the charge distribution as well as the
electrostatic potential are presented. The acceleration of the ions and the
associated cooling of the electrons that takes place during the plasma
expansion is described. An extensive analysis of the transition between the
semi infinite and the finite size plasma behaviour is carried out. Finally, a
test of the analytical results, performed through numerical simulations, is
presented.Comment: 4 pages with 5 figure
Angularly excited and interacting boson stars and Q-balls
We study angularly excited as well as interacting non-topological solitons,
so-called Q-balls and their gravitating counterparts, so-called boson stars in
3+1 dimensions. Q-balls and boson stars carry a non-vanishing Noether charge
and arise as solutions of complex scalar field models in a flat space-time
background and coupled minimally to gravity, respectively.
We present examples of interacting Q-balls that arise due to angular
excitations, which are closely related to the spherical harmonics. We also
construct explicit examples of rotating boson stars that interact with
non-rotating boson stars. We observe that rotating boson stars tend to absorb
the non-rotating ones for increasing, but reasonably small gravitational
coupling. This is a new phenomenon as compared to the flat space-time limit and
is related to the negative contribution of the rotation term to the energy
density of the solutions. In addition, our results indicate that a system of a
rotating and non-rotating boson star can become unstable if the direct
interaction term in the potential is large enough. This instability is related
to the appearance of ergoregions.Comment: 20 pages including 9 figures; for higher quality figures please
contact the authors; v2: minor changes, final version to appear in Phys. Rev.
Quasi Exactly Solvable NxN-Matrix Schroedinger Operators
New examples of matrix quasi exactly solvable Schroedinger operators are
constructed. One of them constitutes a matrix generalization of the quasi
exactly solvable anharmonic oscillator, the corresponding invariant vector
space is constructed explicitely. Also investigated are matrix generalizations
of the Lame equation.Comment: 16 latex pages, new results adde
Particle motion in Horava-Lifshitz black hole space-times
We study the particle motion in the space-time of a Kehagias-Sfetsos (KS)
black hole. This is a static spherically symmetric solution of a
Horava-Lifshitz gravity model that reduces to General Relativity in the IR
limit and deviates slightly from detailed balance. Taking the viewpoint that
the model is essentially a (3+1)-dimensional modification of General Relativity
we use the geodesic equation to determine the motion of massive and massless
particles. We solve the geodesic equation exactly by using numerical
techniques. We find that neither massless nor massive particles with
non-vanishing angular momentum can reach the singularity at r=0. Next to bound
and escape orbits that are also present in the Schwarzschild space-time we find
that new types of orbits exist: manyworld bound orbits as well as two-world
escape orbits. We also discuss observables such as the perihelion shift and the
light deflection.Comment: 16 pages including 13 figures; minor changes, to match version
accepted for publication in Phys. Rev.
Simulation of hydrogenated graphene Field-Effect Transistors through a multiscale approach
In this work, we present a performance analysis of Field Effect Transistors
based on recently fabricated 100% hydrogenated graphene (the so-called
graphane) and theoretically predicted semi-hydrogenated graphene (i.e.
graphone). The approach is based on accurate calculations of the energy bands
by means of GW approximation, subsequently fitted with a three-nearest neighbor
(3NN) sp3 tight-binding Hamiltonian, and finally used to compute ballistic
transport in transistors based on functionalized graphene. Due to the large
energy gap, the proposed devices have many of the advantages provided by
one-dimensional graphene nanoribbon FETs, such as large Ion and Ion/Ioff
ratios, reduced band-to-band tunneling, without the corresponding disadvantages
in terms of prohibitive lithography and patterning requirements for circuit
integration
Symmetry breaking in (gravitating) scalar field models describing interacting boson stars and Q-balls
We investigate the properties of interacting Q-balls and boson stars that sit
on top of each other in great detail. The model that describes these solutions
is essentially a (gravitating) two-scalar field model where both scalar fields
are complex. We construct interacting Q-balls or boson stars with arbitrarily
small charges but finite mass. We observe that in the interacting case - where
the interaction can be either due to the potential or due to gravity - two
types of solutions exist for equal frequencies: one for which the two scalar
fields are equal, but also one for which the two scalar fields differ. This
constitutes a symmetry breaking in the model. While for Q-balls asymmetric
solutions have always corresponding symmetric solutions and are thus likely
unstable to decay to symmetric solutions with lower energy, there exists a
parameter regime for interacting boson stars, where only asymmetric solutions
exist. We present the domain of existence for two interacting non-rotating
solutions as well as for solutions describing the interaction between rotating
and non-rotating Q-balls and boson stars, respectively.Comment: 33 pages including 21 figures; v2: version considerably extended: 6
new figures added, equations of motion added, discussion on varying
gravitational coupling added, references adde
Rotating Boson Stars in 5 Dimensions
We study rotating boson stars in five spacetime dimensions. The boson fields
consist of a complex doublet scalar field. Considering boson stars rotating in
two orthogonal planes with both angular momenta of equal magnitude, a special
ansatz for the boson field and the metric allows for solutions with nontrivial
dependence on the radial coordinate only. The charge of the scalar field equals
the sum of the angular momenta. The rotating boson stars are globally regular
and asymptotically flat. For our choice of a sixtic potential the rotating
boson star solutions possess a flat spacetime limit. We study the solutions in
flat and curved spacetime.Comment: 17 pages, 6 figure
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