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Related papers: Correlations in Ballistic Processes

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We study the spontaneous motion, binary collisions, and collective dynamics of "polar disks", i.e. purpose-built particles which, when vibrated between two horizontal plates, move coherently along a direction strongly correlated to their…

Soft Condensed Matter · Physics 2016-01-19 Julien Deseigne , Sébastien Léonard , Olivier Dauchot , Hugues Chaté

Particle correlations and particle multiplicity distributions cannot be approached independently: a unified description of correlations and multiplicity distributions is always needed in order to understand the underlying dynamics in high…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alberto Giovannini , Roberto Ugoccioni

We consider the motion of a finite though large number of particles in the whole space R n. Particles move freely until they experience pairwise collisions. We use our recent theory of divergence-controlled positive symmetric tensors in…

Analysis of PDEs · Mathematics 2019-03-15 Denis Serre

We consider the dynamics of diffusing particles in one space dimension with annihilation on collision and nucleation (creation of particles) with constant probability per unit time and length. The cases of nucleation of single particles and…

Statistical Mechanics · Physics 2009-11-07 S. Habib , K. Lindenberg , G. Lythe , C. Molina-Paris

We consider a one-dimensional gas of hard point particles in a finite box that are in thermal equilibrium and evolving under Hamiltonian dynamics. Tagged particle correlation functions of the middle particle are studied. For the special…

Statistical Mechanics · Physics 2015-06-11 Anjan Roy , Onuttom Narayan , Abhishek Dhar , Sanjib Sabhapandit

Time-dependent correlation functions of (unstable) particles undergoing biased or unbiased diffusion, coagulation and annihilation are calculated. This is achieved by similarity transformations between different stochastic models and…

Condensed Matter · Physics 2009-10-28 Malte Henkel , Enzo Orlandini , Gunter M. Schütz

We study front propagation in the reaction diffusion process $\{A\stackrel{\epsilon}\to2A, A\stackrel {\epsilon_t}\to3A\}$ on a one dimensional (1d) lattice with hard core interaction between the particles. Using the leading particle…

Statistical Mechanics · Physics 2007-05-23 Niraj Kumar , Goutam Tripathy

Distribution functions of relative velocities among particles in a vibrated bed of powder are studied both numerically and theoretically. In the solid phase where granular particles remain near their local stable states, the probability…

chao-dyn · Physics 2009-10-22 Y-h. Taguchi , Hideki Takayasu

We investigate the propagation of two-point density correlations in the one-dimensional Bose-Hubbard Hamiltonian in the thermodynamic limit in terms of the correlation transport distance (CTD), an experimentally measurable magnitude that…

Quantum Physics · Physics 2026-05-08 Óscar Dueñas , Alberto Rodríguez

We study the phase behavior of polar Active Brownian Particles moving in two-spatial dimensions and interacting through volume exclusion and velocity alignment. We combine particle-based simulations of the microscopic model with a simple…

Soft Condensed Matter · Physics 2018-12-26 Elena Sese-Sansa , Ignacio Pagonabarraga , Demian Levis

We study the spreading of information in a wide class of quantum systems, with variable-range interactions. We show that, after a quench, it generally features a double structure, whose scaling laws are related to a set of universal…

Statistical Mechanics · Physics 2018-07-09 Lorenzo Cevolani , Julien Despres , Giuseppe Carleo , Luca Tagliacozzo , Laurent Sanchez-Palencia

This article is devoted to the long-time dynamics of point-vortex type systems near thermal equilibrium and to the possible emergence of collisional relaxation. More precisely, we consider a tagged particle coupled to a large number of…

Analysis of PDEs · Mathematics 2025-10-15 Mitia Duerinckx , Pierre-Emmanuel Jabin

Finding a quantitative description of the rate of collisions between small particles suspended in mixing flows is a long-standing problem. Here we investigate the validity of a parameterisation of the collision rate for identical particles…

Fluid Dynamics · Physics 2016-06-01 K. Gustavsson , B. Mehlig

We consider two models of deterministic active particles in an external potential. In the limit where the speed of a particle is fixed, both models coincide and can be formulated as a Hamiltonian system, but only if the potential is…

Chaotic Dynamics · Physics 2024-07-19 Arkady Pikovsky

We study an interacting particle system of a finite number of labelled particles on the integer lattice, in which particles have intrinsic masses and left/right jump rates. If a particle is the minimal-label particle at its site when it…

Probability · Mathematics 2025-09-11 Mikhail Menshikov , Serguei Popov , Andrew Wade

Particle correlations are very actively studied in heavy-ion collisions at ultra-relativistic energies. Here, an attempt is made at determining a proper reference for such studies, by taking properly into account the multiparticle…

Nuclear Theory · Physics 2008-11-26 Nicolas Borghini

The one-dimensional coagulation-diffusion process describes the strongly fluctuating dynamics of particles, freely hopping between the nearest-neighbour sites of a chain such that one of them disappears with probability 1 if two particles…

Statistical Mechanics · Physics 2016-02-23 Xavier Durang , Jean-Yves Fortin , Malte Henkel

Inelastic collisions occur in Bose-Einstein condensates, in some cases, producing particle loss in the system. Nevertheless, these processes have not been studied in the case when particles do not escape the trap. We show that such…

Quantum Physics · Physics 2008-09-30 I. Fuentes-Schuller , P. Barberis-Blostein

Suspensions of swimming particles exhibit complex collective behaviors driven by hydrodynamic interactions, showing persistent large-scale flows and long-range correlations. While heavily studied, it remains unclear how such structures…

Soft Condensed Matter · Physics 2025-05-27 Bryce Palmer , Scott Weady , Michael O'Brien , Blakesley Burkhart , Michael J. Shelley

Collisions between particles suspended in a fluid play an important role in many physical processes. As an example, collisions of microscopic water droplets in clouds are a necessary step in the production of macroscopic raindrops.…

Fluid Dynamics · Physics 2016-04-20 Alain Pumir , Michael Wilkinson
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