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Acoustic wave propagation in a fluid with a random assortment of identical cylindrical scatterers is considered. While the leading order correction to the effective wavenumber of the coherent wave is well established at dilute areal density…

Materials Science · Physics 2011-02-07 Andrew N. Norris , Jean-Marc Conoir

Variation principle has been developed to calculate many-particle effects in crystals. Within the framework of quasi-particle concept the variation principle has been used to find one-electron states with taking into account of effects due…

Quantum Physics · Physics 2007-05-23 Halina V. Grushevskaya , Leonid I. Gurskii

In this paper we consider the numerical approximation of the two-phase membrane (obstacle) problem by finite difference method. First, we introduce the notion of viscosity solution for the problem and construct certain discrete nonlinear…

Numerical Analysis · Mathematics 2014-07-04 Avetik Arakelyan , Rafayel Barkhudaryan , Michael Poghosyan

Methods for calculating an electron density of a periodic crystal constructed using non-orthogonal localised orbitals are discussed. We demonstrate that an existing method based on the matrix expansion of the inverse of the overlap matrix…

Computational Physics · Physics 2009-11-10 Lev Kantorovich , Oleh Danyliv

This paper examines the validity of the widely-used parabolic effective-mass approximation for computing the current-voltage (I-V) characteristics of silicon nanowire transistors (SNWTs). The energy dispersion relations for unrelaxed Si…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jing Wang , Anisur Rahman , Avik Ghosh , Gerhard Klimeck , Mark Lundstrom

A recent renormalization group analysis of the effective light-cone Hamiltonian yields 5 flavor masses and 2 mass shifts as free parameters. These are determined in the present note and used to calculate the masses of all 30 physical mesons…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hans-Christian Pauli

We provide a computer-assisted proof of the exact count of classes of central configurations for five bodies for several sets of mass values that are exceptional from the point of view of the finiteness results of Albouy and Kaloshin in the…

Dynamical Systems · Mathematics 2026-01-06 Małgorzata Moczurad , Piotr Zgliczyński

Context: Calculating stellar pulsations requires a sufficient accuracy to match the quality of the observations. Many current pulsation codes apply a second order finite-difference scheme, combined with Richardson extrapolation to reach…

Solar and Stellar Astrophysics · Physics 2015-06-16 D. R. Reese

We introduce a novel class of finite difference approximations, termed zigzag schemes, that employ a hybrid stencil that is neither symmetrical, nor fully one-sided. These zigzag schemes often enjoy more permissive stability constraints and…

Numerical Analysis · Mathematics 2025-05-26 Lorenzo Poggioni , Didier Clamond , Yves D'Angelo

This study is concern with the numerical solution of the initial boundary value problem (IBVP) for the semilinear scale-invariant wave equation with damping and mass and power non-linearity. Numerical results of the aforementioned IBVP is…

Numerical Analysis · Mathematics 2022-11-04 Harun Selvitopi

We present a simple scheme to determine the diffusion properties of a thin slab of strongly scattering material by measuring the speckle contrast resulting from the transmission of a femtosecond pulse with controlled bandwidth. In contrast…

In this paper, we develop two finite difference weighted essentially non-oscillatory (WENO) schemes with unequal-sized sub-stencils for solving the Degasperis-Procesi (DP) and $\mu$-Degasperis-Procesi ($\mu$DP) equations, which contain…

Numerical Analysis · Mathematics 2022-03-14 Jianfang Lin , Yan Yu , Huiwen Xue , Xinghui Zhong

The aim of this paper is to establish convergence, properties and error bounds for the fully discrete solutions of a class of nonlinear systems of reaction-diffusion nonlocal type with moving boundaries, using the finite element method with…

Numerical Analysis · Mathematics 2015-10-13 Rui M. P. Almeida , José C. M. Duque , Jorge Ferreira , Rui J. Robalo

In this paper we study the problem of the numerical calculation (by Monte Carlo Methods) of the effective diffusivity for a particle moving in a periodic divergent-free velocity filed, in the limit of vanishing molecular diffusion. In this…

Numerical Analysis · Mathematics 2009-11-13 G. A. Pavliotis , A. M. Stuart , K. C. Zygalakis

Using a diffusion Monte Carlo algorithm, we calculated the spectra of all possible $S$-wave fully heavy pentaquarks within the framework of the quark model. Our aim was to compare the masses of different spin-color configurations…

High Energy Physics - Phenomenology · Physics 2024-09-09 M. C. Gordillo , J. Segovia , J. M. Alcaraz-Pelegrina

We calculate the self-energy of the Delta (1232) resonance in a finite volume, using chiral effective field theory with explicit spin-3/2 fields. The calculations are performed up-to-and-including fourth order in the small scale expansion…

High Energy Physics - Lattice · Physics 2009-07-22 V. Bernard , D. Hoja , U. -G. Meißner , A. Rusetsky

Slater determinants have underpinned quantum chemistry for nearly a century, yet their full potential has remained challenging to exploit. In this work, we show that a variational wavefunction composed of a few hundred optimized…

Chemical Physics · Physics 2026-04-17 Clemens Giuliani , Jannes Nys , Rocco Martinazzo , Giuseppe Carleo , Riccardo Rossi

We consider the mass measurement at hadron colliders for a decay chain of two steps, which ends with a missing particle. Such a topology appears as a subprocess of signal events of many new physics models which contain a dark matter…

High Energy Physics - Phenomenology · Physics 2015-05-30 Hsin-Chia Cheng , Jiayin Gu

A finite-energy sum-rule is presented that allows for the use of combinations of both positive- and inverse-moment integration kernels. The freedom afforded from being able to employ this large class of integration kernels in our sum-rule…

High Energy Physics - Phenomenology · Physics 2015-06-16 S. Bodenstein

A new method for calculating the total energy of Si systems is presented. The method is based on the effective-medium theory concept of a reference system. Instead of calculating the energy of an atom in the system of interest a reference…

Condensed Matter · Physics 2016-08-14 K. Stokbro , N. Chetty , K. W. Jacobsen , J. K. Nørskov