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In this paper we study the dynamics of self gravitating spherically symmetric thin shells of counter rotating particles. We consider all possible velocity distributions for the particles, and show that the equations of motion by themselves…

General Relativity and Quantum Cosmology · Physics 2009-02-09 Reinaldo J. Gleiser , Marcos A. Ramirez

We survey the few exact results on the Stormer problem describing the dynamics of charged particles in the Earth magnetosphere. The analysis of this system leads to the the conclusion that charged particles are trapped in the Earth…

Chaotic Dynamics · Physics 2007-05-23 Rui Dilao , Rui Alves-Pires

Within a scalar model theory of gravity, where the interaction between particles is given by the half-retarded + half-advanced solution of the scalar wave equation, we consider an N-body problem: we investigate configurations of N particles…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Robert Beig , J. Mark Heinzle , Bernd G. Schmidt

The diffusion of finite-size hard-core interacting particles in two- or three-dimensional confined domains is considered in the limit that the confinement dimensions become comparable to the particle's dimensions. The result is a nonlinear…

Mathematical Physics · Physics 2017-03-23 Maria Bruna , S. Jonathan Chapman

The inherent structure landscape for a system of hard spheres confined to a hard cylindrical channel, such that spheres can only contact their first and second neighbours, is studied using an analytical model that extends previous results…

Soft Condensed Matter · Physics 2021-12-15 Mahdi Zarif , Raymond J. Spiteri , Richard K. Bowles

The zero-temperature limit of the backgammon model under resetting is studied. The model is a balls-in-boxes model whose relaxation dynamics is governed by the density of boxes containing just one particle. As these boxes become rare at…

Statistical Mechanics · Physics 2020-05-21 Pascal Grange

We use large scale computer simulations and finite size scaling analysis to study the shear rheology of dense three-dimensional suspensions of frictionless non-Brownian particles in the vicinity of the jamming transition. We perform…

Soft Condensed Matter · Physics 2015-04-06 Takeshi Kawasaki , Daniele Coslovich , Atsushi Ikeda , Ludovic Berthier

We have simulated the growth of structure in two 100 Mpc boxes for LCDM and SCDM universes. These N-body/SPH simulations include a gaseous component which is able to cool radiatively. A fraction of the gas cools into cold dense objects…

The two-dimensional one-component plasma, i.e. the system of point-like charged particles embedded in a homogeneous neutralizing background, is studied on the surface of a cylinder of finite circumference, or equivalently in a semiperiodic…

Statistical Mechanics · Physics 2016-08-31 L. Samaj , J. Wagner , P. Kalinay

We study a lattice-gas model of penetrable particles on a square-lattice substrate with same-site and nearest-neighbor interactions. Penetrability implies that the number of particles occupying a single lattice site is unlimited and the…

Soft Condensed Matter · Physics 2020-08-21 Derek Frydel , Yan Levin

We study an integer automaton elasto-plastic model of an amorphous solid subject to cyclic shear of amplitude $\Gamma$. We focus on the reversible plastic regime at intermediate $\Gamma_0<\Gamma<\Gamma_y$, where, after a transient, the…

Soft Condensed Matter · Physics 2022-12-21 Ahmed Elgailani , Damien Vandembroucq , Craig Maloney

I calculate finite-volume effects for three identical spin-1/2 fermions in a box assuming short-ranged repulsive interactions of `natural size'. This analysis employs standard perturbation theory in powers of 1/L, where L^3 is the volume of…

High Energy Physics - Lattice · Physics 2010-01-21 Thomas Luu

We study the settling of solid particles within a viscous incompressible fluid contained in a two-dimensional channel, where the mass density of the particles is slightly greater than that of the fluid. The fluid-structure interaction…

Fluid Dynamics · Physics 2015-09-07 Sudeshna Ghosh , John M. Stockie

We systematically generate a large set of random micro-particle packings over a wide range of adhesion and friction by means of adhesive contact dynamics simulation. The ensemble of generated packings covers a range of volume fraction…

Soft Condensed Matter · Physics 2017-01-10 Wenwei Liu , Yuliang Jin , Sheng Chen , Hernán A. Makse , Shuiqing Li

We numerically investigate the mechanical properties of static packings of ellipsoidal particles in 2D and 3D over a range of aspect ratio and compression $\Delta \phi$. While amorphous packings of spherical particles at jamming onset…

Soft Condensed Matter · Physics 2015-06-03 Carl F. Schreck , Mitch Mailman , Bulbul Chakraborty , Corey S. O'Hern

We investigate the behaviour of a system of particles with the different character of interaction. The approach makes it possible to describe systems of interacting particles by statistical methods taking into account a spatial…

Condensed Matter · Physics 2007-05-23 Volodymyr Krasnoholovets , Bohdan Lev

A quantum theory of spherically symmetric thin shells of null dust and their gravitational field is studied. In Nucl. Phys. 603 (2001) 515 (hep-th/0007005), it has been shown how superpositions of quantum states with different geometries…

General Relativity and Quantum Cosmology · Physics 2013-05-29 M. Ambrus , P. Hajicek

We study the inelastic collapse in the one-dimensional $N$-particle systems in the situation where the system is driven from below under the gravity. We investigate the hard-sphere limit of the inelastic soft-sphere systems by numerical…

Soft Condensed Matter · Physics 2015-06-15 Jun'ichi Wakou , Hiroyuki Kitagishi , Takahiro Sakaue , Hiizu Nakanishi

Packing is a complex phenomenon of prominence in many natural and industrial processes (liquid crystals, granular materials, infiltration, melting, flow, sintering, segregation, sedimentation, compaction, etc.). A variety of computational…

Chemical Physics · Physics 2012-05-31 Danilo Sergi , Claudio D'Angelo , Giulio Scocchi , Alberto Ortona

We show and interpret three examples of nontrivial results obtained in numerical simulations of many-body systems: exponential convergence of low-lying energy eigenvalues in the process of progressive truncation of huge shell-model…

Nuclear Theory · Physics 2017-08-23 Vladimir Zelevinsky , Alexander Volya