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We study the stability, the clustering and the phase-diagram of free cooling granular gases. The systems consist of mono-disperse particles with additional non-contact (long-range) interactions, and are simulated here by the event-driven…

软凝聚态物质 · 物理学 2015-06-22 S. Gonzalez , A. R. Thornton , S. Luding

The momentum space zero-range model is used to investigate universal properties of three interacting particles confined to two dimensions. The pertinent equations are first formulated for a system of two identical and one distinct particle…

量子气体 · 物理学 2011-10-04 F. F. Bellotti , T. Frederico , M. T. Yamashita , D. V. Fedorov , A. S. Jensen , N. T. Zinner

We consider the use of N-body simulations for studying the evolution of rich star clusters (i.e. globular clusters). The dynamical processes included in this study are restricted to gravitational (point-mass) interactions, the steady tidal…

天体物理学 · 物理学 2016-08-30 S. J. Aarseth , D. C. Heggie

This thesis introduces a framework that is able to describe general many-body coarse-grained interactions. We make use of this to describe the free energy surface as a cluster expansion in terms of monomer, dimer, and trimer terms. The…

软凝聚态物质 · 物理学 2017-09-29 S. T. John

Two-body scattering and other discreteness effects are unimportant in cosmological gravitational clustering in most scenarios, since the dark matter has a small particle mass. The collective field should determine evolution: Two-body…

天体物理学 · 物理学 2009-10-28 A. L. Melott , S. F. Shandarin , R. J. Splinter , Y. Suto

We analyze a generalization of the hard sphere dipole system in two dimensions in which the interaction range of the interaction can be varied. We focus on the system in the limit the interaction becomes increasingly short-ranged, while the…

统计力学 · 物理学 2019-10-23 Nelia Mann

The relation between the results of cosmological N-body simulations, and the continuum theoretical models they simulate, is currently not understood in a way which allows a quantification of N dependent effects. In this first of a series of…

天体物理学 · 物理学 2013-05-29 Michael Joyce , Bruno Marcos

Over the course of the recent decades, $N$-body simulations have become a standard tool for quantifying the gravitational perturbations that ensue in planet-forming disks. Within the context of such simulations, massive non-central bodies…

地球与行星天体物理 · 物理学 2020-08-12 Shirui Peng , Konstantin Batygin

Preliminary results are presented about a fully self-consistent N-body simulation of a sample of four massive globular clusters in close interaction within the central region of a galaxy. The N-body representation (with N=1.5x10^6 particles…

宇宙学与河外天体物理 · 物理学 2009-02-04 P. Miocchi , R. Capuzzo-Dolcetta

The interplay of interactions and disorder is studied using the Anderson-Hubbard model within the typical medium dynamical cluster approximation. Treating the interacting, non-local cluster self-energy ($\Sigma_c[{\cal \tilde{G}}](i,j\neq…

无序系统与神经网络 · 物理学 2015-12-02 C. E. Ekuma , S. -X. Yang , H. Terletska , K. -M. Tam , N. S. Vidhyadhiraja , J. Moreno , M. Jarrell

This technical report provides an in-depth evaluation of both established and state-of-the-art methods for simulating constrained rigid multi-body systems with hard-contact dynamics, using formulations of Nonlinear Complementarity Problems…

机器人学 · 计算机科学 2025-04-29 Vassilios Tsounis , Ruben Grandia , Moritz Bächer

We present an analysis of different sets of gravitational N-body simulations, all describing the dynamics of discrete particles with a small initial velocity dispersion. They encompass very different initial particle configurations,…

天体物理学 · 物理学 2015-06-24 Francesco Sylos Labini , Thierry Baertschiger , Michael Joyce

Accurately modeling contact behaviors for real-world, near-rigid materials remains a grand challenge for existing rigid-body physics simulators. This paper introduces a data-augmented contact model that incorporates analytical solutions…

机器人学 · 计算机科学 2022-06-23 Yifeng Jiang , Jiazheng Sun , C. Karen Liu

We present simulations of the formation and evolution of galaxy clusters in the Cold Dark Matter cosmogony. Clusters with a wide range of mass were selected from previous N-body models, and were resimulated at higher resolution using a…

天体物理学 · 物理学 2015-06-24 Julio F. Navarro , Carlos S. Frenk , Simon D. M. White

We study two interacting particles in a random potential chain by means of the transfer matrix method. The dependence of the two-particle localization length $\lambda_2$ on disorder and interaction strength is investigated. Our results…

无序系统与神经网络 · 物理学 2008-02-03 Rudolf A. R"omer , Michael Schreiber

Two-body interactions play a major role in shaping the structural and dynamical properties of globular clusters (GCs) over their long-term evolution. In particular, GCs evolve toward a state of partial energy equipartition that induces a…

星系天体物理 · 物理学 2016-03-23 P. Bianchini , G. van de Ven , M. A. Norris , E. Schinnerer , A. L. Varri

We study the influence of the various parameters of scenarios of large-scale structure formation on properties of galaxy clusters, and investigate which cluster properties are most sensitive to these parameters. We present a set of large…

天体物理学 · 物理学 2016-08-30 Pascal de Theije , Eelco van Kampen , Remco Slijkhuis

We address the question of minimal requirements for the existence of quantum bound states. In particular, we demonstrate that a few-body system with zero-range momentum-independent two-body interactions is unstable against decay into…

核理论 · 物理学 2021-03-16 Martin Schäfer , Lorenzo Contessi , Johannes Kirscher , Jiří Mareš

We derive expressions for determination of the stress and the elastic constants in systems composed of particles interacting via non-central two-body potentials as thermal averages of products of first and second partial derivatives of the…

统计力学 · 物理学 2009-11-11 Michael Murat , Yacov Kantor

Evidence suggests that the transport rate of a passive particle at long timescales is enhanced due to interactions with the surrounding active ones in a size- and composition-dependent manner. Using a system of particles with different…

软凝聚态物质 · 物理学 2021-07-14 Efe Ilker , Michele Castellana , Jean-François Joanny