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Random motions can occur in the intergalactic gas of galaxy clusters at all stages of their evolution. Depending on the poorly known value of the Reynolds number, these motions can or cannot become turbulent, but in any case they can…

Astrophysics · Physics 2009-11-16 A. Shukurov , K. Subramanian , N. E. L. Haugen

We investigate a class of stochastic aggregation processes involving two types of clusters: active and passive. The mass distribution is obtained analytically for several aggregation rates. When the aggregation rate is constant, we find…

Statistical Mechanics · Physics 2007-05-23 P. L. Krapivsky , E. Ben-Naim

We have experimentally investigated field induced aggregation of nonmagnetic particles confined in a magnetic fluid layer when rotating magnetic fields were applied. After application of a magnetic field rotating in the plane of the fluid…

Soft Condensed Matter · Physics 2009-11-13 Jozef Černák , Geir Helgesen

We numerically investigate dynamical and chemical properties of star clusters (open and globular clusters, and ``super star clusters'', SSC) formed in interacting/merging galaxies. The investigation is two-fold: (1) large-scale…

Astrophysics · Physics 2009-11-10 Kenji Bekki

We use N-body simulations to study evolution of galaxy clusters over the redshift interval 0 <= z <= 0.5 in cosmological models with a mixture of cold and hot dark matter (CHDM). Four different techniques are utilized: the cluster-cluster…

Astrophysics · Physics 2009-10-28 Charles Walter , Anatoly Klypin

We study a random aggregation process involving rectangular clusters. In each aggregation event, two rectangles are chosen at random and if they have a compatible side, either vertical or horizontal, they merge along that side to form a…

Statistical Mechanics · Physics 2018-10-17 D. S. Ben-Naim , E. Ben-Naim , P. L. Krapivsky

The abundance of rich clusters is a strong constraint on the mass power spectrum. The current constraint can be expressed in the form $\sigma_8 \Omega_m^{\gamma} = 0.5 \pm 0.1$ where $\sigma_8$ is the $rms$ mass fluctuation on 8 $h^{-1}$…

Astrophysics · Physics 2009-09-15 Limin Wang , Paul J. Steinhardt

We report an experimental study on the transition between a disordered liquid-like state and a ordered solid-like one, in a collection of magnetically interacting macroscopic grains. A monolayer of magnetized particles is vibrated…

Statistical Mechanics · Physics 2015-06-05 Loreto Oyarte , Pablo Gutiérrez , Sébastien Aumaître , Nicolás Mujica

We investigate the role of inhomogeneities in zero-range processes in condensation dynamics.We consider the dynamics of balls hopping between nodes of a network, and find that the condensation is triggered by the ratio k_1/k of the highest…

Statistical Mechanics · Physics 2007-10-25 B. Waclaw , L. Bogacz , Z. Burda , W. Janke

For a large class of repulsive interaction models, the Mayer cluster integrals can be transformed into a tridiagonal real symmetric matrix $R_{mn}$, whose elements converge to two constants. This allows for an effective extrapolation of the…

Statistical Mechanics · Physics 2010-08-26 Z. Rotman , E. Eisenberg

We present a new method to study the characteristic scales of collapse and fragmentation in galactic disks. Clump formation is seeded in simulations via controlled perturbations with a specified wavelength and velocity. These are applied to…

Astrophysics of Galaxies · Physics 2019-05-08 S. M. Benincasa , J. W. Wadsley , H. M. P. Couchman , A. R. Pettit , E. J. Tasker

We investigate irreversible aggregation processes driven by a source of small mass clusters. In the spatially homogeneous situation, a well-mixed system is consists of clusters of various masses whose concentrations evolve according to an…

Statistical Mechanics · Physics 2025-01-20 P. L. Krapivsky , Sergey A. Matveev

In laboratory experiments, we studied collisions of ensembles of compact (filling factor 0.33) millimeter dust aggregates composed of micrometer quartz grains. We used cylindrical aggregates, triangular aggregates, square aggregates, and…

Earth and Planetary Astrophysics · Physics 2016-09-05 Maximilian Kruss , Tunahan Demirci , Marc Koester , Thorben Kelling , Gerhard Wurm

Globular clusters (GCs) are powerful tracers of galaxy assembly, frequently used to identify accreted substructure and reconstruct hierarchical merger histories. With advances in GC formation models and cosmological simulations, we can now…

Astrophysics of Galaxies · Physics 2026-04-10 Finn A. Pal , Sarah L. Martell , Elizabeth J. Iles

The zero range process is of particular importance as a generic model for domain wall dynamics of one-dimensional systems far from equilibrium. We study this process in one dimension with rates which induce an effective attraction between…

Statistical Mechanics · Physics 2018-04-26 Stefan Grosskinsky , Gunter M. Schuetz , Herbert Spohn

In an absorptive system the Wigner reaction $K-$matrix (directly related to the impedance matrix in acoustic or electromagnetic wave scattering) is non-selfadjoint, hence its eigenvalues are complex. The most interesting regime arises when…

Disordered Systems and Neural Networks · Physics 2023-08-11 Yan V. Fyodorov

We investigate the kinetics of systems in which particles of one species undergo binary fragmentation and pair annihilation. In the latter, nonlinear process, fragments react at collision to produce an inert species, causing loss of mass.…

Condensed Matter · Physics 2009-10-28 Joao A. N. Filipe , Geoff J. Rodgers

We study a kinetic mean-field equation for a system of particles with different sizes, in which particles are allowed to coagulate only if their sizes sum up to a prescribed time-dependent value. We prove well-posedness of this model, study…

Analysis of PDEs · Mathematics 2012-05-22 Ondrej Budáč , Michael Herrmann , Barbara Niethammer , Andrej Spielmann

We address the two-dimensional bimolecular annihilation reaction $A + A \to \emptyset$ in the presence of random impurities. Impurities with sufficiently long-ranged interaction energies are known to lead to anomalous diffusion, $<r^2(t)>…

Statistical Mechanics · Physics 2009-10-30 Jeong-Man Park , Michael W. Deem

Kinetically constrained models (KCM) are reversible interacting particle systems on $\mathbb{Z}^d$ with continuous-time constrained Glauber dynamics. They are a natural non-monotone stochastic version of the family of cellular automata with…

Probability · Mathematics 2020-10-20 Ivailo Hartarsky , Laure Marêché , Cristina Toninelli
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