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Analytical approximation for Landau's constants by using BPES method
Landau constants Approximation theory Complex analysis Boubaker Polynomials Expansion Scheme
2012/6/15
In this study, approximation formulas for evaluating Landau constants are elaborated by using the Boubaker Polynomials Expansion Scheme (BPES). Results are compared to some referred studies.
Analytical Modeling of Nonlinear Propagation in a Strongly Dispersive Optical Communication System
Analytical Modeling of Nonlinear Propagation Optical Communication System Optics
2012/5/31
Recently an analytical model was presented that treats the nonlinear signal distortion from the Kerr nonlinearity in optical transmission systems as additive white Gaussian noise. This important model...
Analytical Study of Sub-Wavelength Imaging by Uniaxial Epsilon-Near-Zero Metamaterial Slabs
Analytical Study of Sub-Wavelength Uniaxial Epsilon-Near-Zero Metamaterial Slabs Optics
2012/5/29
We show that the two-dimensional Green's function of a uniaxial (with possibly tilted optical axis) epsilon-near-zero metamaterial slab, of interest for sub-wavelength imaging, can be calculated analy...
Solitary waves and their stability in colloidal media: semi-analytical solutions
colloid solitary wave modulation theory stability bifurcation
2012/4/20
Spatial solitary waves in colloidal suspensions of spherical dielectric nanoparticles are considered. The interaction of the nanoparticles is modelled as a hard-sphere gas, with the Carnahan-Starling ...
On the divergence of time-dependent perturbation theory applied to laser-induced molecular transitions: Analytical calculations (1)
time-dependent perturbation theory laser-induced molecular transitions Analytical calculations Mathematical Physics
2012/4/18
Shaped laser pulses are a powerful tool to induce population transfer between electronic molecular states, and time-dependent perturbation theory is suitable for a description of such a transfer in we...
Analytical Modelling of a Plucked Piezoelectric Bimorph for Energy Harvesting
Analytical Modelling of a Plucked Piezoelectric Bimorph Energy Harvesting Classical Physics
2012/4/19
Energy harvesting (EH) is a multidisciplinary research area, involving physics, materials science and engineering, with the objective of providing renewable sources of sufficient power to operate targ...
Deciphering non-femtoscopic two-pion correlations in $p+p$ collisions with simple analytical models
non-femtoscopic two-pion analytical models
2011/7/21
A simple model of non-femtoscopic particle correlations in proton-proton collisions is proposed.
Analytical Approximations of Whispering gallery Modes in Anisotropic Ellipsoidal Resonators
Analytical Approximations Whispering gallery Modes Anisotropic Ellipsoidal Resonators Optics
2011/8/4
Abstract: Numerical evolutions of whispering gallery modes of both isotropic and anisotropic spheroidal resonators are presented and used to build analytical approximations of these modes. Such approx...
An analytical model of Faraday rotation in hot alkali metal vapours
analytical model Faraday rotation hot alkali metal vapours Atomic Physics
2011/8/3
Abstract: We report a thorough investigation into the absorptive and dispersive properties of hot caesium vapour, culminating in the development of a simple analytical model for off-resonant Faraday r...
Self-similar analytical model of the plasma expansion in a magnetic field
Plasma expansion Self-similar model Magnetic field Plasma Physics
2011/8/2
Abstract: The study of hot plasma expansion in a magnetic field is of interest for many astrophysical applications. In order to observe this process in laboratory, an experiment is proposed in which a...
Deciphering non-femtoscopic two-pion correlations in $p+p$ collisions with simple analytical models
non-femtoscopic two-pion correlations simple analytical models
2011/7/21
A simple model of non-femtoscopic particle correlations in proton-proton collisions is proposed. The model takes into account correlations induced by the conservation laws as well as correlations indu...
Analytical approach to model of scientific revolutions
the model of spreading of ideas model of scientific revolutions
2011/8/26
The model of scientific paradigms spreading throughout the community of agents with memory is analyzed. The case of two competing ideas is analyzed for various networks of interactions. The pace of ad...
Geodesics of electrically and magnetically charged test particles in the Reissner-Nordström space-time: analytical solutions
Geodesics of electrically magnetically charged test particles
2010/12/20
We present the full set of analytical solutions of the geodesic equations of charged test particles in the Reissner-Nordstr¨om space-time in terms of the Weierstraß }, and elliptic functions...
The analytical $\pi\pi$ scattering amplitude and the light scalars
analytical $\pi\pi$ scattering amplitude light scalars
2011/1/5
In this work we construct the scattering amplitude T0 0 with regular analytical properties in the s complex plane, that describes simultaneously the data on the scattering.
Comparison of analytical and numerical methods and the effect of bath coupling on the quantum decoherence
comparison analytical and numerical methods quantum decoherence
2010/11/8
The dynamics of a qubit in a structured environment is investigated theoretically. One point of view of the model is the spin-boson model with a Lorentz shaped spectral density. An alternative view is...