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A system of inelastic hard disks in a thin pipe capped by hot walls is studied with the aim of investigating velocity correlations between particles. Two effects lead to such correlations: inelastic collisions help to build localized…

patt-sol · Physics 2009-10-31 Tong Zhou

We study the momentum distribution of strongly interacting one-dimensional mixtures of particles at zero temperature in a box potential. We find that the magnitude of the $1/k^4$ tail of the momentum distribution is not only due to…

Quantum Gases · Physics 2023-08-25 Gianni Aupetit-Diallo , Silvia Musolino , Mathias Albert , Patrizia Vignolo

We expand on a recent study of a lattice model of interacting particles [Phys. Rev. Lett. 111, 110601 (2013)]. The adsorption isotherm and equilibrium fluctuations in particle number are discussed as a function of the interaction. Their…

Statistical Mechanics · Physics 2014-11-20 T. Becker , K. Nelissen , B. Cleuren , B. Partoens , C. Van den Broeck

This contribution presents a derivation of the steady-state distribution of velocities and distances of driven particles on a onedimensional periodic ring. We will compare two different situations: (i) symmetrical interaction forces…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Martin Treiber , Dirk Helbing

The dynamics of dense particle packings near the jamming transition is characterized by correlated particle motion. The growth of dynamical heterogeneities, or strong spatial variations in the motion of the particles constituting the…

Soft Condensed Matter · Physics 2024-09-12 Rajkumar Biswas , Anoop Mutneja , Smarajit Karmakar , Ranjini Bandyopadhyay

We study the dynamics of an inertial particle coupled to forcing, dissipation, and noise in the small mass limit. We derive an expression for the limiting (homogenized) joint distribution of the position and (scaled) velocity degrees of…

Mathematical Physics · Physics 2018-04-04 Jeremiah Birrell , Janek Wehr

The Hamiltonian dynamics of chains of nonlinearly coupled particles is numerically investigated in two and three dimensions. Simple, off-lattice homopolymer models are used to represent the interparticle potentials. Time averages of…

Statistical Mechanics · Physics 2007-05-23 Alessandro Mossa , Marco Pettini , Cecilia Clementi

The diffusivity of tagged particles is demonstrated to be very heterogeneous on time scales comparable to or shorter than the $\alpha$ relaxation time $\tau_{\alpha}$ ($\cong$ the stress relaxation time) in a highly supercooled liquid via…

Soft Condensed Matter · Physics 2009-10-31 Ryoichi Yamamoto , Akira Onuki

We study at the microscopic level the dynamics of a one-dimensional gravitationally interacting sticky gas. Initially, N identical particles of mass m with uncorrelated, randomly distributed velocities fill homogeneously a finite region of…

Statistical Mechanics · Physics 2007-05-23 J. C. Bonvin , Ph. A. Martin , J. Piasecki , X. Zotos

The diffusion of particles trapped in long narrow channels occurs predominantly in one dimension. Here, molecular dynamics simulation is used to study the inertial dynamics of two-dimensional hard disks, confined to long, narrow,…

Soft Condensed Matter · Physics 2020-02-05 Mahdi Zarif , Richard K. Bowles

We study the relaxation of a test particle immersed in a bath of field particles interacting via weak long-range forces. To order 1/N in the $N\to +\infty$ limit, the velocity distribution of the test particle satisfies a Fokker-Planck…

Statistical Mechanics · Physics 2009-11-11 P. H. Chavanis

In the simplest model of single-file diffusion, $N$ point particles wander on a segment of the $x$ axis of length $L$, with hard core interactions, which prevent passing, and with overdamped Brownian dynamics, $\lambda\dot{x}=\eta(t)$,…

Statistical Mechanics · Physics 2019-10-23 Theodore W. Burkhardt

The particle diffusion in a fluid is a classical topic that dates back to more than one century ago. However, a full solution to this issue still lacks. In this work the velocity autocorrelation function and the diffusion constant are…

Fluid Dynamics · Physics 2016-08-03 Hanqing Zhao , Hong Zhao

We study thermodynamics properties of a one dimensional gas of hard elongated particles. The particle centers are restricted to a line, while they can rotate in two-dimensional space. Correlations between orientations of the objects are…

Statistical Mechanics · Physics 2009-10-27 Yacov Kantor , Mehran Kardar

Particle dynamics are investigated in plasma turbulence, using self-consistent kinetic simulations, in two dimensions. In steady state, the trajectories of single protons and proton-pairs are studied, at different values of plasma "beta"…

Plasma Physics · Physics 2016-08-31 S. Servidio , C. T. Haynes , W. H. Matthaeus , D. Burgess , V. Carbone , P. Veltri

We prove approach to thermal equilibrium for the fully Hamiltonian dynamics of a dynamical Lorentz gas, by which we mean an ensemble of particles moving through a $d$-dimensional array of fixed soft scatterers that each possess an internal…

Statistical Mechanics · Physics 2015-05-20 S. De Bievre , P. E. Parris

We prove a generalized dynamical duality for identical particles in one dimension (1D). Namely, 1D systems with arbitrary statistics -- including bosons, fermions and anyons -- approach the same momentum distribution after long-time…

Quantum Gases · Physics 2025-10-30 Yu Chen , Xiaoling Cui

The effect of micron-sized particles on a low-pressure capacitively-coupled rf discharge is studied both experimentally and using numerical simulations. In the laboratory experiments, microparticle clouds occupying a considerable fraction…

Plasma Physics · Physics 2017-09-27 M. Y. Pustylnik , I. L. Semenov , E. Zähringer , H. M. Thomas

One-dimensional movement of interacting particles is a challenging problem where the correlation between particles induces non-trivial collective effects. In contrast to the single-file diffusion case, the pure ballistic single file…

Statistical Mechanics · Physics 2023-02-28 P. M. Centres , S. J. Manzi , V. D. Pereyra , S. Bustingorry

We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times but has nonetheless some of the characteristic properties of…

Mathematical Physics · Physics 2015-06-12 Raphael Lefevere