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We analyze LHC available data measuring the distribution probability of transverse momenta~$p_T$ in proton-proton collisions at $\sqrt{s}=0.9\,\textrm{TeV}$ (CMS, ALICE, ATLAS) and $\sqrt{s}=7\,\textrm{TeV}$ (CMS, ATLAS). A remarkably good…

High Energy Physics - Phenomenology · Physics 2014-09-12 Leonardo J. L. Cirto , Constantino Tsallis , Cheuk-Yin Wong , Grzegorz Wilk

The velocity distribution in a homogeneously cooling granular gas has been studied in the viscoelastic regime when the restitution coefficient of colliding particles depends on the impact velocity. We show that for viscoelastic particles…

Statistical Mechanics · Physics 2009-10-31 Nikolai V. Brilliantov , Thorsten Poeschel

Inertial particles advected in chaotic flows often accumulate in strange attractors. While moving in these fractal sets they usually approach each other and collide. Here we consider inertial particles aggregating upon collision. The new…

Fluid Dynamics · Physics 2009-11-13 Jens C. Zahnow , Rafael D. Vilela , Ulrike Feudel , Tamas Tel

Estimating the probability of collision between spacecraft is crucial for risk management and collision-avoidance strategies. Current methods often rely on Gaussian assumptions and simplifications, which can be inaccurate in highly…

Systems and Control · Electrical Eng. & Systems 2025-04-22 Théo Verhelst , Giacomo Acciarini , Dario Izzo , Francesco Biscani

The theory of homogeneously driven granular gases of hard particles predicts that the stationary state is characterized by a velocity distribution function with overpopulated high-energy tails as compared to the exponential decay valid for…

Soft Condensed Matter · Physics 2017-10-10 Christian Scholz , Thorsten Pöschel

In a number of experimental situations, single polymer molecules can be suspended in a vacuum. Here collisions between such molecules are considered. The limit of high collision velocity is investigated numerically for a variety of…

Soft Condensed Matter · Physics 2015-05-19 J. M. Deutsch

Within the point vortex model, we compute the probability distribution function of the velocity fluctuations induced by same-signed vortices scattered within a disk according to a fractal distribution of distances to origin $\sim…

Statistical Mechanics · Physics 2016-05-25 Audun Skaugen , Luiza Angheluta

In this note we present complete, closed-form expressions for random relative velocities between colliding particles of arbitrary size in nebula turbulence. These results are exact for very small particles (those with stopping times much…

Astrophysics · Physics 2009-11-13 C. W. Ormel , J. N. Cuzzi

Multiscale statistical analyses of inertial particle distributions are presented to investigate the statistical signature of clustering and void regions in particle-laden incompressible isotropic turbulence. Three-dimensional direct…

Fluid Dynamics · Physics 2021-06-16 Keigo Matsuda , Kai Schneider , Katsunori Yoshimatsu

We investigate the probability distribution function of the free flight time and of the number of collisions in a hard sphere gas at equilibrium. At variance with naive expectation, the latter quantity does not follow Poissonian statistics,…

Statistical Mechanics · Physics 2008-04-24 P. Visco , F. van Wijland , E. Trizac

This review is a kinetic theory study investigating the effects of inelasticity on the structure of the non-equilibrium states, in particular on the behavior of the velocity distribution in the high energy tails. Starting point is the…

Statistical Mechanics · Physics 2007-05-23 R. Brito , M. H. Ernst

The dynamics of a system composed of inelastic hard spheres or disks that are confined between two parallel vertically vibrating walls is studied (the vertical direction is defined as the direction perpendicular to the walls). The distance…

Soft Condensed Matter · Physics 2024-11-06 M. Mayo , J. C. Petit , M. I. García de Soria , P. Maynar

We propose a new scenario for compound chondrule formation named as "fragment-collision model," in the framework of the shock-wave heating model. A molten cm-sized dust particle (parent) is disrupted in the high-velocity gas flow. The…

Astrophysics · Physics 2009-11-13 Hitoshi Miura , Seiji Yasuda , Taishi Nakamoto

A statistical mechanical study of fluidized granular media is presented. Using a special energy injection mechanism, homogeneous fluidized stationary states are obtained. Molecular dynamics simulations and theoretical analysis of the…

Statistical Mechanics · Physics 2009-10-31 R. Soto , M. Mareschal

We describe a computational framework for simulating suspensions of rigid particles in Newtonian Stokes flow. One central building block is a collision-resolution algorithm that overcomes the numerical constraints arising from particle…

Computational Engineering, Finance, and Science · Computer Science 2020-06-24 Wen Yan , Eduardo Corona , Dhairya Malhotra , Shravan Veerapaneni , Michael Shelley

We investigate a one-dimensional system of $N$ particles, initially distributed with random positions and velocities, interacting through binary collisions. The collision rule is such that there is a time after which the $N$ particles do…

Mathematical Physics · Physics 2018-03-14 Joceline Lega , Sunder Sethuraman , Alexander L Young

We consider the sedimentation of $N$ spherical particles with identical radii $R$ in a Stokes flow in $\mathbb R^3$. The particles satisfy a no-slip boundary condition and are subject to constant gravity. The dynamics of the particles is…

Analysis of PDEs · Mathematics 2025-01-10 Richard M. Höfer , Richard Schubert

We develop a theory of various kinds of large-scale clustering of inertial particles in a rotating density stratified or inhomogeneous turbulent fluid flows. The large-scale particle clustering occurs in scales which are much larger than…

Fluid Dynamics · Physics 2025-12-17 Nathan Kleeorin , Igor Rogachevskii

We derive the stationary probability distribution for a non-equilibrium system composed by an arbitrary number of degrees of freedom that are subject to Gaussian colored noise and a conservative potential. This is based on a…

Statistical Mechanics · Physics 2015-06-01 Claudio Maggi , Umberto Marini Bettolo Marconi , Nicoletta Gnan , Roberto Di Leonardo

We analyze a lattice model closely related to the one-dimensional inelastic gas with periodic boundary condition. The one-dimensional inelastic gas tends to form high density clusters of particles with almost the same velocity, separated by…

Soft Condensed Matter · Physics 2009-11-10 Srdjan Ostojic , Debabrata Panja , Bernard Nienhuis