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We have studied the kinetics of cluster formation for dynamical systems of dimensions up to $n=8$ interacting through elastic collisions or coalescence. These systems could serve as possible models for gas kinetics, polymerization and…

Statistical Mechanics · Physics 2013-01-15 Carson McFadden , Louis-S. Bouchard

We suggested a theory of clustering of inertial particles advected by a turbulent velocity field caused by an instability of their spatial distribution. The reason of the {\em clustering instability} is a combined effect of the particle…

Chaotic Dynamics · Physics 2007-05-23 Tov Elperin , Nathan Kleeorin , Victor L'vov , Igor Rogachevskii , Dmitry Sokoloff

Two-dimensional classical cluster of particles interacting through a screened Coulomb potential is studied. This system can be used as a model for "dusty particles" in high-frequency discharge plasma. For systems consisting of N = 2 - 40…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. E. Astrakharchik , A. I. Belousov , Yu. E. Lozovik

We introduce a stochastic agent-based model for the flocking dynamics of self-propelled particles that exhibit velocity-alignment interactions with neighbours within their field of view. The stochasticity in the dynamics of the model arises…

Statistical Mechanics · Physics 2019-07-24 Trilochan Bagarti , Shakti N. Menon

For a large class of fluids exhibiting ultrasoft bounded pair potentials, particles form crystals consisting of clusters located in the lattice sites, with a density-independent lattice constant. Here we present an investigation on the…

Soft Condensed Matter · Physics 2009-11-13 Angel J. Moreno , Christos N. Likos

Networks of particles connected by springs model many condensed-matter systems, from colloids interacting with a short-range potential, to complex fluids near jamming, to self-assembled lattices, to origami-inspired materials. Under small…

Statistical Mechanics · Physics 2017-03-01 Yoav Kallus , Miranda Holmes-Cerfon

Nuclear matter within the liquid-gas phase transition region is investigated in a mean-field two-component Fermi-gas model. Following largely analytic considerations, it is shown that: (1) Due to density dependence of asymmetry energy, some…

Nuclear Theory · Physics 2010-12-17 L. Shi , P. Danielewicz

The dynamics of classical hard particles in a quasi one-dimensional channel were studied since the 1960s and used for explaining processes in chemistry, physics and biology and in applications. Here we show that in a previously un-described…

Soft Condensed Matter · Physics 2015-05-27 Ophir Flomenbom

A fundamental question in many-body physics is how closed quantum systems reach equilibrium. We address this question experimentally and theoretically in an ultracold large-spin Fermi gas where we find a complex interplay between internal…

A theory of clustering of inertial particles advected by a turbulent velocity field caused by an instability of their spatial distribution is suggested. The reason for the clustering instability is a combined effect of the particles inertia…

Chaotic Dynamics · Physics 2007-05-23 Tov Elperin , Nathan Kleeorin , Victor S. L'vov , Igor Rogachevskii , Dmitry Sokoloff

Finite-size impurities suspended in incompressible flows distribute inhomogeneously, leading to a drastic enhancement of collisions. A description of the dynamics in the full position-velocity phase space is essential to understand the…

Chaotic Dynamics · Physics 2009-11-10 J. Bec , A. Celani , M. Cencini , S. Musacchio

Recently, we proposed a self-propelled particle model with competing alignment interactions: nearby particles tend to align their velocities whereas they anti-align their direction of motion with particles which are further away [R.…

Soft Condensed Matter · Physics 2016-05-02 Robert Großmann , Pawel Romanczuk , Markus Bär , Lutz Schimansky-Geier

The probability amplitude for $N$ particles in a quantum gas with negligible range of interparticle interaction potentials to come to a small region of size $r$ scales like $r^\gamma$. It is shown that $\gamma$ is quantitatively related to…

Statistical Mechanics · Physics 2007-05-23 Shina Tan

Recent studies aimed at investigating artificial analogs of bacterial colonies have shown that low-density suspensions of self-propelled particles confined in two dimensions can assemble into finite aggregates that merge and split, but have…

Soft Condensed Matter · Physics 2015-06-17 B. M. Mognetti , A. Šarić , S. Angioletti-Uberti , A. Cacciuto , C. Valeriani , D. Frenkel

Ratchet effects can appear for particles interacting with an asymmetric potential under ac driving or for a thermal system in which a substrate is periodically flashed. Here, we show that a new type of collective ratchet effect can arise…

Soft Condensed Matter · Physics 2025-07-16 C. Reichhardt , C. J. O. Reichhardt

The formalism based on correlated basis functions and the cluster expansion technique has been recently employed to derive an effective interaction from a realistic nuclear hamiltonian. To gauge the reliability of this scheme, we perform a…

Nuclear Theory · Physics 2015-08-17 Angela Mecca , Alessandro Lovato , Omar Benhar , Artur Polls

The self-gravitating systems are formed by particles interacting through gravity. They describe structure formation in the universe. As a consequence of the long range interaction of gravity, they are inhomogeneous even at thermal…

Astrophysics · Physics 2007-05-23 Julien Siebert

Self-gravitating systems have acquired growing interest in statistical mechanics, due to the peculiarities of the 1/r potential. Indeed, the usual approach of statistical mechanics cannot be applied to a system of many point particles…

Statistical Mechanics · Physics 2015-06-24 M. Bottaccio , L. Pietronero , A. Amici , P. Moicchi , R. Capuzzo Dolcetta , M. Montuori

We propose a simple model for periodic clustering of particles under forced oscillation. Effective viscosity is assumed to increase owing to neighboring particles by analogy with the Einstein viscosity law. The linear stability analysis and…

Pattern Formation and Solitons · Physics 2026-02-12 Hidetsugu Sakaguchi

We introduce a simple model of active transport for an ensemble of particles driven by an external shear flow. Active refers to the fact that the flow of the particles is modified by the distribution of particles itself. The model consists…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 Cristobal Lopez
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