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Experiments on 2D random water wave propagation in a large wave tank are analyzed when the effect of dispersion changes. A stereoscopic profilometry technique is used to measure the water surface displacement resolved in both time and space…

Recent high precision experimental data for heavy-ion fusion cross sections at energies in the vicinity of the Coulomb barrier systematically show that a strikingly large surface diffuseness parameter for a Woods-Saxon potential is required…

Nuclear Theory · Physics 2017-08-23 K. Hagino , M. Dasgupta , I. I. Gontchar , D. J. Hinde , C. R. Morton , J. O. Newton

In some binary fluids, mass transport is observed under a temperature gradient. This phenomenon is called the Soret effect. In this study, we discuss the influence of inter-particle interaction. We considered equimolar binary Lennard-Jones…

Statistical Mechanics · Physics 2023-02-06 Tatsuma Oishi , Yuya Doi , Takashi Uneyama , Yuichi Masubuchi

The long-wavelength, weak-dispersion limit of the discrete nonlinear Schr\"odinger equation with long-range dispersion is analytically considered. This continuum approximation is carried out irrespective of the dispersion range and hence…

Pattern Formation and Solitons · Physics 2007-05-23 Alain M. Dikandé

A recently proposed method based on dispersion theory, that allows to extract the scattering length of a hadronic two-body system from corresponding final-state interactions, is generalized to the situation where the Coulomb interaction is…

Nuclear Theory · Physics 2009-11-11 A. Gasparyan , J. Haidenbauer , C. Hanhart

Yukawa potentials are often used as effective potentials for systems as colloids, plasmas, etc. When the Debye screening length is large, the Yukawa potential tends to the non-screened Coulomb potential ; in this small screening limit, or…

Soft Condensed Matter · Physics 2010-09-08 Martial Mazars

We derive the modified L\"uscher equation in the presence of the long-range force caused by the exchange of a light particle. It is shown that the use of this equation enables one to circumvent the problems related to the strong…

High Energy Physics - Lattice · Physics 2024-04-25 Rishabh Bubna , Hans-Werner Hammer , Fabian Müller , Jin-Yi Pang , Akaki Rusetsky , Jia-Jun Wu

We introduce the eikonal approximation to study the effect of the large-scale motion of cosmic fluids on their small-scale evolution. This approach consists in collecting the impact of the long-wavelength displacement field into a single or…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-09 Francis Bernardeau , Nicolas Van de Rijt , Filippo Vernizzi

An approximate dispersion relation is derived and presented for linear surface waves atop a shear current whose magnitude and direction can vary arbitrarily with depth. The approximation, derived to first order of deviation from potential…

Fluid Dynamics · Physics 2019-01-21 Simen Å. Ellingsen , Yan Li

Taylor dispersion in periodic but highly corrugated channels is studied. Exact analytical expressions for the long-time diffusion constant and drift along the channel are derived to next-to-leading order in the limit of small channel…

Statistical Mechanics · Physics 2025-05-28 Arthur Alexandre , Thomas Guérin , David S. Dean

[ This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in The Journal of Chemical Physics, 157, 024504 (2022) and may be found at:…

Chemical Physics · Physics 2022-07-14 Daniel Muñoz-Santiburcio

We simulate the space-time dynamics of high-energy collisions based on a microscopic kinetic description in the conformal relaxation time approximation, in order to determine the range of applicability of an effective description in…

High Energy Physics - Phenomenology · Physics 2023-04-26 Victor E. Ambrus , S. Schlichting , C. Werthmann

Ewald summation is an efficient method for computing the periodic sums that appear when considering the Green's functions of Stokes flow together with periodic boundary conditions. We show how Ewald summation, and accompanying truncation…

Fluid Dynamics · Physics 2016-03-25 Ludvig af Klinteberg

Sampling the Boltzmann distribution using forces that violate detailed balance can be faster than with the equilibrium evolution, but the acceleration depends on the nature of the nonequilibrium drive and the physical situation. Here, we…

Soft Condensed Matter · Physics 2023-12-20 Federico Ghimenti , Ludovic Berthier , Grzegorz Szamel , Frédéric van Wijland

Describing long-ranged electrostatics using short-ranged pair potentials is appealing since the computational complexity scales linearly with the number of particles. The foundation of this approach is to mimic the long-ranged medium…

Statistical Mechanics · Physics 2020-05-13 Björn Stenqvist , Vidar Aspelin , Mikael Lund

An extension to the wave packet description of quantum plasmas is presented, where the wave packet can be elongated in arbitrary directions. A generalised Ewald summation is constructed for the wave packet models accounting for long-range…

This article is concerned with one dimensional dispersive flows with cubic nonlinearities on the real line. In a very recent work, the authors have introduced a broad conjecture for such flows, asserting that in the defocusing case, small…

Analysis of PDEs · Mathematics 2022-11-01 Mihaela Ifrim , Daniel Tataru

A class of second order approximations, called the weighted and shifted Gr\"{u}nwald difference operators, are proposed for Riemann-Liouville fractional derivatives, with their effective applications to numerically solving space fractional…

Numerical Analysis · Mathematics 2015-04-27 WenYi Tian , Han Zhou , Weihua Deng

We show that finite-range alternatives to the standard long-range BKS pair potential for silica might be used in molecular dynamics simulations. We study two such models that can be efficiently simulated since no Ewald summation is…

Statistical Mechanics · Physics 2009-11-13 Antoine Carré , Ludovic Berthier , Juergen Horbach , Simona Ispas , Walter Kob

Energy transmission over long distances by waves is a key mechanism for many natural processes. This possibility arises when an inhomogeneous medium is arranged in such a manner that it enables a certain type of wave to propagate with…

Fluid Dynamics · Physics 2026-05-05 Semyon Churilov
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