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Possible definitions for the relative momentum of identical particles are considered.

量子物理 · 物理学 2015-06-05 B. Gaveau , L. S. Schulman

Experimental results on hadronic structures are discussed in view of our physics understanding. Achievements and challenges are noted.

高能物理 - 实验 · 物理学 2007-05-23 Martin Erdmann

We consider the effect of surface roughness on solid-solid contact in a Stokes flow. Various models for the roughness are considered, and a unified methodology is given to derive the corresponding asymptotics of the drag force. In this way,…

偏微分方程分析 · 数学 2011-03-09 David Gérard-Varet , Matthieu Hillairet

In this paper, we give a simple counter example to the famous Hodge conjecture.

综合数学 · 数学 2013-01-23 Renyi Ma

The idea of the Michelson-Morley experiment is theoretically reanalyzed. Elementary arguments are put forward to precisely derive the most general allowable form of the directional dependence of the one-way velocity of light.

经典物理 · 物理学 2010-11-25 Bogusław Broda , Marcin Ostrowski

This paper gives an introduction to some of the statistical physics problems which appear in the study of structural glasses. It is a shortened and updated version of a more detailed review paper which has appeared in cond-mat/0005173.

无序系统与神经网络 · 物理学 2009-11-07 Marc Mezard

A classic problem of the motion of a projectile thrown at an angle to the horizon is studied. Air resistance force is taken into account with the use of the quadratic resistance law. The projectile motion is described analytically with…

经典物理 · 物理学 2021-05-25 Peter Chudinov

This white paper is submitted as part of Snowmass2013 (subgroup CF2). The extraordinary sensitivity of torsion-balances can be used to search for the ultra-feeble forces suggested by attempts to unify gravity with the other fundamental…

高能物理 - 实验 · 物理学 2013-08-15 E. G. Adelberger

We have developed an alternative formulation based on ${\bf F} = M {\bf a}$ rather than ${\bf F} = d{\bf P}/dt$ for studying variable mass systems. It is shown that ${\bf F} = M {\bf a}$ can be particularly useful in this context, as…

物理教育 · 物理学 2009-09-29 Celia A. de Sousa , Vitor H. Rodrigues

We apply the subordination principle to construct kinetic fractional statistical dynamics in the continuum in terms of solutions to Vlasov-type hierarchies. As a by-product we obtain the evolution of the density of particles in the…

数学物理 · 物理学 2016-10-19 Jose Luis da Silva , Anatoly N. Kochubei , Yuri Kondratiev

It is evident from the literature that many engineers describe the Reynolds number qualitatively as ``the ratio of inertial forces to viscous forces''. Yet it is not immediately obvious that the well known expression Re = LV(rho)/(eta),…

经典物理 · 物理学 2007-05-23 Randall D. Peters , Loren Sumner

We recover the relativistic kinetic energy as the result of the work of a force.

综合物理 · 物理学 2023-12-29 Alain Haraux

Variational formulations of statics and dynamics of mechanical systems controlled by external forces are presented as examples of variational principles.

数学物理 · 物理学 2015-06-26 Antonio De Nicola , Wlodzimierz M. Tulczyjew

In this paper we propose several variants to perform the independence test between two random elements based on recurrence rates. We will show how to calculate the test statistic in each one of these cases. From simulations we obtain that…

统计方法学 · 统计学 2020-09-21 Juan Kalemkerian , Diego Fernández

A new object, called the velocity tensor, is introduced. It allows to formulate a generally covariant mechanics. Some properties of the velocity tensor are derived.

综合物理 · 物理学 2011-02-07 Edward Kapuścik , Tomasz Lanczewski

In the present manuscript we give a structure condition that allows for energy approximation in the vectorial case and we provide two examples, enjoying such a condition.

偏微分方程分析 · 数学 2025-06-25 Menita Carozza , Filomena De Filippis , Raffaella Giova , Francesco Leonetti

The aim of this paper is to analyze the weighted KyFan inequality proposed in [11]. A number of numerical simulations involving the exponential weighted function is given. We show that in several cases and types of examples one can imply an…

信息论 · 计算机科学 2015-04-07 Yuri Suhov , Salimeh Yasaei Sekeh

We study $\varepsilon$-stability in continuous logic. We first consider stability in a model, where we obtain a definability of types result with a better approximation than that in the literature. We also prove forking symmetry for…

逻辑 · 数学 2024-11-08 Nicolas Chavarria

In this Chapter we review our works on force fields for molecular simulations of protein systems. We first discuss the functional forms of the force fields and present some extensions of the conventional ones. We then present various…

统计力学 · 物理学 2012-08-31 Yoshitake Sakae , Yuko Okamoto

We consider the coupled motion of a free rigid body immersed in an inviscid compressible isentropic fluid. By means of a vanishing viscosity limit, we obtain the local-in-time existence of a dissipative measure-valued solution to the model.…

偏微分方程分析 · 数学 2026-03-04 Qianfeng Li , Emil Wiedemann