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The number density of field galaxies per rotation velocity, referred to as the velocity function, is an intriguing statistical measure probing the smallest scales of structure formation. In this paper we point out that the velocity function…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-24 Aurel Schneider , Sebastian Trujillo-Gomez

We investigate the sedimentation properties of quasi-neutrally buoyant inertial particles carried by incompressible zero-mean fluid flows. We obtain generic formulae for the terminal velocity in generic space-and-time periodic (or steady)…

Fluid Dynamics · Physics 2018-02-13 Marco Martins Afonso , Sílvio Marques de Almeida Gama

Although special relativity limits the actual velocity of a particle to $c$, the velocity of light, the observed velocity need not be the same as the actual velocity as the observer is only aware of the position of a particle at the time in…

General Physics · Physics 2015-05-27 Austen Berlet , Dennis G. C. McKeon , Farrukh Chishtie , Martin Houde

We study the kinematic relative velocity of general test particles with respect to stationary observers (using spherical coordinates) in Schwarzschild spacetime, obtaining that its modulus does not depend on the observer, unlike Fermi,…

General Relativity and Quantum Cosmology · Physics 2013-01-24 Vicente J. Bolós

The average velocity of self-propelled particles in a two-dimensional potential with colored noise is investigated. The current reversal phenomenon appear with changing x direction colored noise intensity. There exist optimal values of the…

Statistical Mechanics · Physics 2015-12-22 Bing Wang , Xiuqing Wu , Changzhao Chen , Mengjun Hu , Xuanyan Cao

In this paper, which completes our earlier short publication [Phys. Rev. Lett. 84, 511 (2000)], we study dynamics of a hard-core tracer particle (TP) performing a biased random walk in an adsorbed monolayer, composed of mobile hard-core…

Soft Condensed Matter · Physics 2009-10-31 O. Benichou , A. M. Cazabat , J. De Coninck , M. Moreau , G. Oshanin

We revisit the longstanding question of the onset of sediment transport driven by a turbulent fluid flow via laboratory measurements. We use particle tracking velocimetry to quantify the fluid flow as well as the motion of individual…

We analyze the motion of a rod floating in a weightless environment in space when a force is applied at some point on the rod in a direction perpendicular to its length. If the force applied is at the centre of mass, then the rod gets a…

Classical Physics · Physics 2018-04-25 Ashok K. Singal

The empirical relation between density and velocity of pedestrian movement is not completely analyzed, particularly with regard to the `microscopic' causes which determine the relation at medium and high densities. The simplest system for…

Physics and Society · Physics 2009-11-11 Armin Seyfried , Bernhard Steffen , Wolfram Klingsch , Maik Boltes

The onset of the {\em wave resistance}, via generation of capillary gravity waves, of a small object moving with velocity $V$, is investigated experimentally. Due to the existence of a minimum phase velocity $V_c$ for surface waves, the…

Chaotic Dynamics · Physics 2009-11-07 Teodor Burghelea , Victor Steinberg

We present exact analytical solutions to the classical equations of motion and analyze the dynamical consequences of the existence of a minimal length for the free particle, particle in a linear potential, anti-symmetric constant force…

High Energy Physics - Theory · Physics 2016-02-09 Reginald Christian Bernardo , Jose Perico Esguerra

Vorticity is central to the nature of, and dynamical processes in turbulence, including turbulence in astrophysical fluids. The results of \cite{Raymond20a,Raymond20b} on vorticity in the post-shock fluid of the Cygnus Loop supernova…

Astrophysics of Galaxies · Physics 2022-09-15 Steven R. Spangler

We study the Newton-like problem of minimal resistance for a two-dimensional body moving with constant velocity in a homogeneous rarefied medium of moving particles. The distribution of the particles over velocities is centrally symmetric.…

Optimization and Control · Mathematics 2007-05-23 Alexander Yu. Plakhov , Delfim F. M. Torres

Using cosmological N-body simulations we study the line-of-sight velocity distribution of dark matter haloes focusing on the lowest-order even moments, dispersion and kurtosis, and their application to estimate the mass profiles of…

Astrophysics · Physics 2009-11-13 Radoslaw Wojtak , Ewa L. Lokas , Stefan Gottloeber , Gary A. Mamon

We explore a ballistic orbit model to infer the gravitational drag force on an accreting point mass M, such as a black hole, moving at a hypersonic velocity v_{0} through a gaseous environment of density \rho_{0}. The streamlines blend in…

Astrophysics of Galaxies · Physics 2015-05-30 J. Canto , A. C. Raga , A. Esquivel , F. J. Sanchez-Salcedo

In this study, we conducted experimental investigations into the fundamental diagram of vibration-driven vehicles (VDV) in a one-dimensional array. As these mechanical agents interact solely through collisions, their mean speed remains…

Physics and Society · Physics 2023-11-03 German A. Patterson , Daniel R. Parisi

We present an analytical solution for the projectile coplanar motion under constant drag parametrised by the velocity angle. We found the locus formed by the apices of the projectile trajectories. The range and time of flight are obtained…

General Physics · Physics 2017-11-22 H. Hernández-Saldaña

Droplet velocities used in impact studies were investigated using high-speed photography. It was determined that droplets do not reach terminal velocity before a typical impact, raising the question of how to predict impact velocity. This…

Fluid Dynamics · Physics 2023-04-05 Wenjie Ji , Siyuan Wang , Jiguang Hao , J. M. Floryan

We study the motion of colloidal particles driven by a constant force over a periodic optical potential energy landscape. Firstly, the average particle velocity is found as a function of the driving velocity and the wavelength of the…

Soft Condensed Matter · Physics 2016-01-27 Michael P. N. Juniper , Arthur V. Straube , Dirk G. A. L. Aarts , Roel P. A. Dullens

Minimising movements are investigated for an energy which is the superposition of a convex functional and fast small oscillations. Thus a minimising movement scheme involves a temporal parameter $\tau$ and a spatial parameter $\epsilon$,…

Analysis of PDEs · Mathematics 2016-05-09 Nadia Ansini , Andrea Braides , Johannes Zimmer