238 research outputs found
Casimir force induced by imperfect Bose gas
We present a study of the Casimir effect in an imperfect (mean-field) Bose
gas contained between two infinite parallel plane walls. The derivation of the
Casimir force follows from the calculation of the excess grand canonical free
energy density under periodic, Dirichlet, and Neumann boundary conditions with
the use of the steepest descent method. In the one-phase region the force
decays exponentially fast when distance between the walls tends to
infinity. When Bose-Einstein condensation point is approached the decay length
in the exponential law diverges with critical exponent , which
differs from the perfect gas case where . In the two-phase region
the Casimir force is long-range, and decays following the power law ,
with the same amplitude as in the perfect gas
Comparative study of semiclassical approaches to quantum dynamics
Quantum states can be described equivalently by density matrices, Wigner
functions or quantum tomograms. We analyze the accuracy and performance of
three related semiclassical approaches to quantum dynamics, in particular with
respect to their numerical implementation. As test cases, we consider the time
evolution of Gaussian wave packets in different one-dimensional geometries,
whereby tunneling, resonance and anharmonicity effects are taken into account.
The results and methods are benchmarked against an exact quantum mechanical
treatment of the system, which is based on a highly efficient Chebyshev
expansion technique of the time evolution operator.Comment: 32 pages, 8 figures, corrected typos and added references; version as
publishe
Dijet Event Shapes as Diagnostic Tools
Event shapes have long been used to extract information about hadronic final
states and the properties of QCD, such as particle spin and the running
coupling. Recently, a family of event shapes, the angularities, has been
introduced that depends on a continuous parameter. This additional
parameter-dependence further extends the versatility of event shapes. It
provides a handle on nonperturbative power corrections, on non-global
logarithms, and on the flow of color in the final state.Comment: 18 pages, 3 figure
The interaction of a magnetoelastic shear wave with longitudinal cavities in a conducting layer
We study the influence of a strong magnetic field on the interaction of a shear wave with longitudinal cylindrical cavities in an elastic ideally conducting layer. The resulting singular integral equation of the boundary-value problem under consideration is implemented numerically for the case of a single cavity. We present the results of computation of the stresses on the edge of a circular cavity and an elliptical cavity.
When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/2163
Investigation of the Chaotic Dynamics of an Electron Beam with a Virtual Cathode in an External Magnetic Field
The effect of the strength of the focusing magnetic field on chaotic dynamic
processes occurring inan electron beam with a virtual cathode, as well as on
the processes whereby the structures form in the beamand interact with each
other, is studied by means of two-dimensional numerical simulations based on
solving a self-consistent set of Vlasov-Maxwell equations. It is shown that, as
the focusing magnetic field is decreased,the dynamics of an electron beam with
a virtual cathode becomes more complicated due to the formation andinteraction
of spatio-temporal longitudinal and transverse structures in the interaction
region of a vircator. The optimum efficiency of the interaction of an electron
beam with the electromagnetic field of the vircator isachieved at a
comparatively weak external magnetic field and is determined by the
fundamentally two-dimensional nature of the motion of the beam electrons near
the virtual cathode.Comment: 12 pages, 8 figure
AdS_7/CFT_6, Gauss-Bonnet Gravity, and Viscosity Bound
We study the relation between the causality and the positivity of energy
bounds in Gauss-Bonnet gravity in AdS_7 background and find a precise
agreement. Requiring the group velocity of metastable states to be bounded by
the speed of light places a bound on the value of Gauss-Bonnet coupling. To
find the positivity of energy constraints we compute the parameters which
determine the angular distribution of the energy flux in terms of three
independent coefficients specifying the three-point function of the
stress-energy tensor. We then relate the latter to the Weyl anomaly of the
six-dimensional CFT and compute the anomaly holographically. The resulting
upper bound on the Gauss-Bonnet coupling coincides with that from causality and
results in a new bound on viscosity/entropy ratio.Comment: 21 page, harvmac; v2: reference adde
Recommended from our members
Control of platelet CLEC-2-mediated activation by receptor clustering and tyrosine kinase signalling
Platelets are blood cells responsible for vascular integrity preservation. The activation of platelet receptor CLEC-2 could partially mediate the latter function. Although this receptor is considered to be of importance for hemostasis, the rate-limiting steps of CLEC-2 induced platelet activation are not clear. Here we aimed to investigate CLEC-2-induced platelet signal transduction using computational modelling in combination with experimental approaches. We developed a stochastic multicompartmental computational model of CLEC-2 signalling. The model described platelet activation beginning with CLEC-2 receptor clustering, followed by Syk and SFK phosphorylation, determined by the cluster size. Active Syk mediated LAT protein phosphorylation and membrane signalosome formation, which resulted in the activation of Btk, PLC and PI3K, calcium and phosphoinositide signalling. The model parameters were assessed from published experimental data. Flow cytometry, TIRF and confocal microscopy and western blotting quantification of the protein phosphorylation were used for the assessment of the experimental dynamics of CLEC-2-induced platelet activation. Analysis of the model revealed that the CLEC-2 receptor clustering leading to the membrane-based signalosome formation is a critical element required for the accurate description of the experimental data. Both receptor clustering and signalosome formation are among the rate-limiting steps of CLEC-2-mediated platelet activation. In agreement with these predictions, the CLEC-2 induced platelet activation, but not activation mediated by G-protein coupled receptors, was strongly dependent on temperature conditions and cholesterol depletion. Besides, the model predicted that CLEC-2 induced platelet activation results in cytosolic calcium spiking, which was confirmed by single platelet TIRF microscopy imaging. Our results suggest a refined picture of the platelet signal transduction network associated with CLEC-2. We show that the tyrosine kinases activation is not the only rate-limiting step in CLEC-2 induced activation of platelets. Translocation of receptor-agonist complexes to the signalling region and LAT-signalosome formation in this region are limiting CLEC-2-induced activation as well
Event Shape/Energy Flow Correlations
We introduce a set of correlations between energy flow and event shapes that
are sensitive to the flow of color at short distances in jet events. These
correlations are formulated for a general set of event shapes, which includes
jet broadening and thrust as special cases. We illustrate the method for
electron-positron annihilation dijet events, and calculate the correlation at
leading logarithm in the energy flow and at next-to-leading-logarithm in the
event shape.Comment: 43 pages, eight eps figures; minor changes, references adde
- …