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Any interface boundary in an equilibrium system of Coulomb particles is accompanied by the existence of a finite difference in the average electrostatic potential through this boundary. The discussed interface potential drop is a…

Plasma Physics · Physics 2009-01-19 Igor Iosilevskiy , Alexander Chigvintsev

We present results of molecular dynamics simulations of the electron system on the surface of liquid helium. The simulations are done for 1600 electrons with periodic boundary conditions. Electron scattering by capillary waves and phonons…

Mesoscale and Nanoscale Physics · Physics 2018-09-03 K. Moskovtsev amd M. I. Dykman

We study, using numerical simulations, the dynamical evolution of self-gravitating point particles in static euclidean space, starting from a simple class of infinite ``shuffled lattice'' initial conditions. These are obtained by applying…

Statistical Mechanics · Physics 2008-11-26 Thierry Baertschiger , Michael Joyce , Andrea Gabrielli , Francesco Sylos Labini

We consider a chain of $n$ coupled oscillators placed on a one-dimensional lattice with periodic boundary conditions. The interaction between particles is determined by a weakly anharmonic potential $V_n = r^2/2 + \sigma_nU(r)$, where $U$…

Probability · Mathematics 2020-07-21 Lu Xu

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

We study the non-equilibrium Langevin dynamics of $N$ particles in one dimension with Coulomb repulsive linear interactions. This is a dynamical version of the so-called jellium model (without confinement) also known as ranked diffusion.…

Statistical Mechanics · Physics 2023-06-07 Ana Flack , Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr

A single mechanism, endemic to the standard model of physics, is proposed to explain wavefunction collapse, classical motion, dissipation, equilibration, and the transition from pure quantum mechanics through open system decoherence to the…

General Physics · Physics 2024-09-23 J. H. Brownell

We study an air-fluidized granular monolayer, composed of plastic spheres which roll on a metallic grid. The air current is adjusted so that the spheres never loose contact with the grid, so that the dynamics may be regarded as pseudo…

Soft Condensed Matter · Physics 2022-11-21 F. Vega Reyes , A. Rodríguez-Rivas , J. F. González-Saavedra , M. A. López-Castaño

At time zero, there are $N$ identical point particles in the line (1D) which are characterized by their positions and velocities. Both values are given randomly and independently from each other, with arbitrary probability densities. Each…

Statistical Mechanics · Physics 2024-04-22 Daniel Fraiman

In two dimensions, a system of self-gravitating particles collapses and forms a singularity in finite time below a critical temperature $T_c$. We investigate experimentally a quasi two-dimensional cloud of cold neutral atoms in interaction…

We introduce and analyze $d$ dimensional Coulomb gases with random charge distribution and general external confining potential. We show that these gases satisfy a large deviations principle. The analysis of the minima of the rate function…

Mathematical Physics · Physics 2015-06-18 Luis Carlos Garcia del Molino , Khashayar Pakdaman , Jonathan Touboul

We discuss the statistical mechanics of a system of self-gravitating particles with an exclusion constraint in position space in a space of dimension $d$. The exclusion constraint puts an upper bound on the density of the system and can…

Statistical Mechanics · Physics 2015-06-17 Pierre-Henri Chavanis

We describe the nonzero temperature (T), low frequency (\omega) dynamics of the order parameter near quantum critical points in two spatial dimensions (d), with a special focus on the regime \hbar\omega << k_B T. For the case of a…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev

A two-dimensional system of particles with tunable repulsive interactions is experimentally investigated. Soft ferromagnetic particles are placed on a vibrating rough plate and vertically confined, so that they perform a horizontal Brownian…

Soft Condensed Matter · Physics 2015-06-19 Simon Merminod , Michaël Berhanu , Eric Falcon

Nonequilibrium phase transition plays a pivotal role in a broad physical context from condensed matter to cosmology. Tracking the formation of non-equilibrium phases in condensed matter is challenging and requires a resolution of the…

Mesoscale and Nanoscale Physics · Physics 2019-11-15 Faran Zhou , Joseph Williams , Christos D. Malliakas , Mercouri G. Kanatzidis , Alexander F. Kemper , Chong-Yu Ruan

Phase diagram of microcanonical ensembles of self-attracting particles is studied for two types of short-range potential regularizations: self-gravitating fermions and classical particles interacting via attractive soft…

Statistical Mechanics · Physics 2009-11-07 P. H. Chavanis , I. Ispolatov

Unveiling universal non-equilibrium scaling laws has been a central theme in modern statistical physics, with recent attention increasingly directed toward non-equilibrium phases that exhibit rich dynamical phenomena. A striking example…

Statistical Mechanics · Physics 2025-12-15 Shuoguang Liu , Peter B. Littlewood , Ryo Hanai

Uncovering and understanding universal dynamics in matter far from equilibrium remains a key challenge. In this work, we identify a so far unrecognized form of universal behavior that emerges after a sudden symmetry-breaking quench at…

Quantum Physics · Physics 2026-05-11 Tobias Wiener , Laurin Brunner , Markus Heyl

We study the relaxation towards thermodynamical equilibrium of a 1-D gravitational system. This OSC model shows a series of critical energies $E_{cn}$ where new equilibria appear and we focus on the homogeneous ($n=0$), one-peak ($n=\pm 1$)…

Astrophysics · Physics 2009-11-11 Patrick Valageas

Consider a system of $N$ particles interacting through Newton's second law with Coulomb interaction potential in one spatial dimension or a $\mathcal{C}^2$ smooth potential in any dimension. We prove that in the mean field limit $N \to +…

Analysis of PDEs · Mathematics 2016-03-23 Daniel Han-Kwan , Toan T. Nguyen