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Structural Analysis of Laplacian Spectral Properties with Application to Electric Transmission Networks
Laplacian Spectral Properties Electric Transmission Networks Optimization and Control
2011/8/18
Abstract: The spectrum of the Laplacian matrix of a network plays a key role in a wide range of dynamical problems associated with the network, from transient stability analysis of power networks to d...
Weight function in a bimaterial strip containing an interfacial crack and an imperfect interface. Application to Bloch-Floquet analysis in a thin inhomogeneous structure with cracks
Bloch-Floquet waves boundary layer crack imperfect interface weight function
2011/9/22
Abstract: We define a weight function in a bi-material strip containing a semi-infinite crack and an imperfect interface and analyse a problem of anti-plane shear. We then present an asymptotic algori...
Mathematical modeling of magnetostrictive nanowires for sensor application
sensor application magnetostrictive nanowires Materials Science
2011/9/30
Abstract: Magnetostrictive wires of diameter in the nanometer scale have been proposed for application as acoustic sensors [Downey et al., 2008], [Yang et al., 2006]. The sensing mechanism is expected...
Stochastic treatment of finite-N effects in mean-field systems and its application to the lifetimes of coherent structures
Stochastic treatment finite-N effects mean-field systems lifetimes of coherent structures
2011/8/29
Abstract: A stochastic treatment yielding to the derivation of a general Fokker-Planck equation is presented to model the slow convergence towards equilibrium of mean-field systems due to finite-N eff...
An efficient method to calculate excitation energy transfer in light harvesting systems. Application to the FMO complex
calculate excitation light harvesting systems
2011/9/15
A master equation, derived from the non-Markovian quantum state diffusion (NMQSD), is used to calculate excitation energy transfer in the photosynthetic Fenna-Matthews-Olson (FMO) pigmentprotein compl...
Calculation and Application of New Quantum Bounds
Calculation New Quantum Bounds determines arbitrary Quantum Bounds algorithm
2011/7/27
Abstract: We review, correct, and develop an algorithm which determines arbitrary Quantum Bounds, based on the seminal work of Tsirelson [Lett. Math. Phys. 4, 93 (1980)]. The vast potential of this al...
Energy density in density functional theory: Application to crystalline defects and surfaces
Energy density density functional theory crystalline defects surfaces
2010/11/25
We propose a method to decompose the total energy of a supercell containing defects into
contributions of individual atoms, using the energy density formalism within density functional
theory. The s...
Inversion of hyperelliptic integrals of arbitrary genus with application to particle motion in General Relativity
Inversion of hyperelliptic integrals arbitrary genus application particle motion General Relativity
2010/12/20
The description of many dynamical problems like the particle motion in higher dimensional
spherically and axially symmetric space-times is reduced to the inversion of a holomorphic hyperelliptic inte...
Application of the extended pairing model to heavy isotopes
Application extended pairing model heavy isotopes
2011/1/7
Relative binding energies (RBEs) within three isotopic chains (100−130Sn, 152−181Yb, and
181−202Pb) have been studied using the exactly solvable extended pairing model (EPM) [1]. Th...
Exact Pointer Properties for Quantum System Projector Measurements with Application to Weak Measurements and Their Accuracy
Exact Pointer Properties Quantum System Projector Measurements Application Measurements Accuracy
2010/11/5
Exact pointer states are obtained for projection operator measurements performed upon pre-selected (PS) and upon pre- and post-selected (PPS) quantum systems. These states are used to provide simple e...
Singular inverse square potential in arbitrary dimensions with a minimal length: Application to the motion of a dipole in a cosmic string background
Singular inverse square potential arbitrary dimensions minimal length: Application to the motion dipole cosmic string background
2010/10/18
We solve analytically the Schr¨odinger equation for the N-dimensional inverse square potential
in quantum mechanics with a minimal length in terms of Heun’s functions. We apply our results
to the pr...
Kicked-rotor quantum resonances in position space: Application to systems of experimental interest
quantum resonances position space experimental interest
2010/10/21
In a previous article [1], we have presented an original approach of the quantum resonances of the kicked rotor. We have described the quantum resonances in position space, for strongly localized wave...
A model-insensitive determination of First-hitting-time densities with Application to Equity default-swaps
First-hitting-time densities Equity default-swaps
2010/4/27
Equity default-swaps pay the holder a fixed amount of money when the underlying spot level touches a (far-down) barrier during the life of the instrument. While most pricing models give reasonable res...
Application of Abel-Plana formula for collapse and revival of Rabi oscillations in Jaynes-Cummings model
Application of Abel-Plana formula collapse and revival Rabi oscillations JaynesCummings model
2010/4/9
In this paper, we give an analytical treatment to study the behaviour of the collapse and the revival of the Rabi oscillations in the Jaynes-Cummings model (JCM). The JCM is an exactly soluble quantum...
Percolation on anisotropic media,the Bethe lattice revisited.Application to fracture networks
anisotropic media Bethe lattice revisited fracture networks
2009/11/13
A bond-percolation model based on the Bethe Lattice is presented. This model handles anisotropic and multiscale situations where, typically, the bond probability is non unique and depends on the sites...