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We prove that for a combined system of classical and quantum particles, it is possible to write a dynamics for the classical particles that incorporates in a natural way the Boltzmann equilibrium population for the quantum subsystem. In…

Other Condensed Matter · Physics 2010-09-01 J. L. Alonso , A. Castro , P. Echenique , V. Polo , A. Rubio , D. Zueco

We formulate and study the microscopic statistical mechanics of systems of particles with exclusion statistics in a discrete one-body spectrum. The statistical mechanics of these systems can be expressed in terms of effective single-level…

Statistical Mechanics · Physics 2022-02-04 Stéphane Ouvry , Alexios. P. Polychronakos

In the first part of this article, we review observations of the mass and luminosity functions of young and old star cluster systems. We also review some of the physical processes that may determine the characteristic mass of globular…

Astrophysics · Physics 2007-05-23 S. Michael Fall , Qing Zhang

Statistical mechanics and thermodynamics for ideal fractional exclusion statistics with mutual statistical interactions is studied systematically. We discuss properties of the single-state partition functions and derive the general form of…

Condensed Matter · Physics 2009-10-30 Serguei B. Isakov , Stefan Mashkevich

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 present an experimental investigation of the statistical properties of spherical granular particles on an inclined plane that are excited by an oscillating side-wall. The data is obtained by high-speed imaging and particle tracking…

Soft Condensed Matter · Physics 2009-11-07 Daniel L. Blair , A. Kudrolli

We develop a coagulation-fragmentation model to study a system composed of a small number of stochastic objects moving in a confined domain, that can aggregate upon binding to form local clusters of arbitrary sizes. A cluster can also…

Subcellular Processes · Quantitative Biology 2012-01-19 Nathanael Hoze , David Holcman

We describe a novel method of tracking the rotational motion of clusters of colloidal particles. Our method utilizes rigid body transfor- mations to determine the rotations of a cluster and extends conventional proven particle tracking…

Soft Condensed Matter · Physics 2011-09-01 Gary L. Hunter , Kazem V. Edmond , Mark T. Elsesser , Eric R. Weeks

A type of mechanics will be presented that possesses some distinctive properties. On the one hand, its physical description & rules of operation are readily comprehensible & intuitively clear. On the other, it fully satisfies all observable…

Quantum Physics · Physics 2026-02-05 Eric Tesse

In sandstorms and thunderclouds, turbulence-induced collisions between solid particles and ice crystals lead to inevitable triboelectrification. The charge segregation is usually size-dependent, with small particles charged negatively and…

Fluid Dynamics · Physics 2023-12-11 Xuan Ruan , Matthew T. Gorman , Rui Ni

We consider a motion of a weakly relativistic charged particle with an arbitrary spin in central potential $e/r$ in terms of classical mechanics. We show that the spin-orbital interaction causes the precession of the plane of orbit around…

Quantum Physics · Physics 2023-05-11 Dmitry S. Kaparulin , Nikita A. Sinelnikov

Numerical simulations of clusters of galaxies provide a unique way to follow the dynamics of these systems. The models reveal many characteristics of the merging process of subclusters: shock structure and strength, temperature distribution…

Astrophysics · Physics 2007-05-23 Sabine Schindler

We review the theory behind abundance of experimentally observed nanoclusters produced in beams, aiming to understand their magic number behavior. It is shown how use of statistical physics, with certain assumptions, reduces the calculation…

Statistical Mechanics · Physics 2014-04-02 Kiamars Vafayi , Keivan Esfarjani

This Article presents a nonequilibrium thermodynamic theory for the mean-field precipitation, aggregation and pattern formation of colloidal clusters. A variable gradient energy coefficient and the arrest of particle diffusion upon…

Soft Condensed Matter · Physics 2018-10-17 Thomas Petersen , Martin Z. Bazant , Roland J. M. Pellenq , Franz-Josef Ulm

The causal interpretation of quantum mechanics is applied to the universe as a whole and the problem of cluster formation is studied in this framework. It is shown that the quantum effects be the source of the cluster formation.

Astrophysics · Physics 2007-05-23 Ali Shojai , Fatimah Shojai

Factorial moments are convenient tools in particle physics to characterize the multiplicity distributions when phase-space resolution ($\Delta$) becomes small. They include all correlations within the system of particles and represent…

Statistical Finance · Quantitative Finance 2011-08-31 Laurent Schoeffel

Some time ago, Fisher and de Gennes pointed out that long-ranged correlations in a fluid close to its critical point Tc cause distinct forces between immersed colloidal particles which can even lead to flocculation [C. R. Acad. Sc. Paris B…

Statistical Mechanics · Physics 2007-05-23 F. Schlesener , A. Hanke , S. Dietrich

Coulomb interactions that occur in electronic structure calculations are correlated by allowing basis function components of the interacting densities to polarize, thereby reducing the magnitude of the interaction. Exchange integrals of…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

There are two modes by which clusters of aggregating particles can coalesce: The clusters can merge either (i) by the Ostwald ripening process in which particles diffuse from one cluster to the other whilst the cluster centres remain…

Soft Condensed Matter · Physics 2014-05-13 Andrey Pototsky , Uwe Thiele , Andrew J. Archer

A few-body cluster is a building block of a many-body system in a gas phase provided the temperature at most is of the order of the binding energy of this cluster. Here we illustrate this statement by considering a system of tubes filled…

Quantum Gases · Physics 2020-04-08 Jeremy R. Armstrong , Aksel S. Jensen , Artem G. Volosniev , Nikolaj T. Zinner
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