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We study the statistical properties of two hard spheres in a two dimensional rectangular box. In this system, the relation like Van der Waals equation loop is obtained between the width of the box and the pressure working on side walls. The…

Condensed Matter · Physics 2009-10-31 Akinori Awazu

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

Some of the most intriguing problems in solid state physics arise when the motion of one electron dramatically affects the motion of surrounding electrons. Traditionally, such highly-correlated electron systems have been studied mainly in…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 R. M. Potok , I. G. Rau , Hadas Shtrikman , Yuval Oreg , D. Goldhaber-Gordon

The effect of angular momentum conservation in microcanonical thermodynamics is considered. This is relevant in gravitating systems, where angular momentum is conserved and the collapsing nature of the forces makes the microcanonical…

Statistical Mechanics · Physics 2009-10-31 Victor Laliena

We explore observed dynamical trends in a wide range of dark matter dominated systems (about seven orders of magnitude in mass) to constrain hypothetical dark matter candidates and scenarios of structure formation. First, we argue that…

Astrophysics · Physics 2009-10-31 Julianne J. Dalcanton , Craig J. Hogan

We study the dynamics and the phase-space structures of Coulombic and self-gravitating versions of the classical one-dimensional 3-body system with periodic boundary conditions. We demonstrate that such a 3-body system may be reduced…

Chaotic Dynamics · Physics 2016-04-27 Pankaj Kumar , Bruce N. Miller

We adopt a simplified model describing the collapse of a spherical thin-shell capacitor to give an analytical description how gravitational energy is converted to both kinetic and electric energies in the gravitational collapse. It is shown…

General Relativity and Quantum Cosmology · Physics 2015-09-10 Remo Ruffini , She-Sheng Xue

Contemporary cosmological conceptions suggest that the dark matter in haloes of galaxies and galaxy clusters has most likely a clumpy structure. If a stream of gas penetrates through it, a small-scale gravitational field created by the…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-31 Anton N. Baushev

Exchange interaction strongly influences the long-range behaviour of localised electron orbitals. It violates the oscillation theorem (creates extra nodes) and produces a power-law decay instead of the usual exponential decrease at large…

Materials Science · Physics 2012-12-12 V. V. Flambaum

We uncover the dynamics of particles with Gaussian core interactions across melting in pure and disordered two-dimensional (2D) systems. Intriguing signatures of cooperative motion of particles in string-like paths are found at low…

Soft Condensed Matter · Physics 2024-11-26 Saikat Dutta , Prashanti Jami , Pinaki Chaudhuri , Chandan Dasgupta , Amit Ghosal

We examine dense self-gravitating stellar systems dominated by a central potential, such as nuclear star clusters hosting a central supermassive black hole. Different dynamical properties of these systems evolve on vastly different…

Astrophysics of Galaxies · Physics 2017-06-20 Zacharias Roupas , Bence Kocsis , Scott Tremaine

Singularities in macroscopic systems at discontinuous phase transitions are replaced in finite systems by sharp but continuous changes. Both the energy differences between metastable and stable phases and the energy barriers separating…

Statistical Mechanics · Physics 2009-11-13 Alexander Patashinski , Mark Ratner

It has been known for some time that rotating bars in galaxies slow due to dynamical friction against the halo. However, recent attempts to use this process to place constraints on the dark matter density in galaxies and possibly also to…

Astrophysics · Physics 2016-08-30 J. A. Sellwood

Within the cosmic framework clusters of galaxies are relatively young objects. Many of them have recently experienced major mergers. Here we investigate an equal mass merging event at z = ~0.6 resulting in a dark matter haloe of ~2.2 times…

Astrophysics · Physics 2007-05-23 A. Faltenbacher , S. Gottloeber , W. G. Mathews

Using numerical simulations we examine colloids with a long-range Coulomb interaction confined in a two-dimensional trough potential undergoing dynamical compression. As the depth of the confining well is increased, the colloids move via…

Soft Condensed Matter · Physics 2016-06-22 D. McDermott , C. J. Olson Reichhardt , C. Reichhardt

Dynamical friction implies a consistency check on any system where dark matter particles are hypothesised to explain orbital dynamics requiring more mass under Newtonian gravity than is directly detectable. Introducing the assumption of a…

Astrophysics of Galaxies · Physics 2025-11-07 X. Hernandez , Pavel Kroupa

The rotation curves of spiral galaxies exhibit a great diversity that challenge our understanding of galaxy formation and the nature of dark matter. Previous studies showed that in self-interacting dark matter (SIDM) models with a cross…

Astrophysics of Galaxies · Physics 2025-05-21 M. Grant Roberts , Manoj Kaplinghat , Mauro Valli , Hai-Bo Yu

Self-organization of charged particles on a 2D lattice, subject to an anisotropic Jahn-Teller-type interaction and 3D Coulomb repulsion is investigated. In the mean-field approximation without Coulomb interaction, the system displays a…

Strongly Correlated Electrons · Physics 2008-11-19 T. Mertelj , V. V. Kabanov , J. Miranda , D. Mihailovic

Momentum distributions of particles from fast three-body halo fragmentation reactions with polarized beams and outgoing fragments are analyzed by use of the sudden approximation. The final state interaction between the two non-disturbed…

Nuclear Theory · Physics 2007-05-23 E. Garrido , D. V. Fedorov , A. S. Jensen

In this work, the nonequilibrium pathways of the collapse of the helix-forming biopolymer polyalanine are investigated. To this end, the full time evolution of the helix-coil transition is simulated using molecular dynamics simulations. At…

Soft Condensed Matter · Physics 2025-08-22 Maximilian Conradi , Henrik Christiansen , Suman Majumder , Fabio Müller , Wolfhard Janke