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Taking advantage of a high-resolution simulation coupled with a state-of-art semi-analytic model of galaxy formation, we probe the mass segregation of galaxies in groups and clusters, focusing on which physical mechanisms are driving it. We…

Astrophysics of Galaxies · Physics 2015-08-26 Emanuele Contini , Xi Kang

We study the dynamical evolution of the M87 globular cluster system (GCS) with a number of numerical simulations. We explore a range of different initial conditions for the GCS mass function (GCMF), for the GCS spatial distribution and for…

Astrophysics · Physics 2009-11-07 E. Vesperini , S. E. Zepf , A. Kundu , K. M. Ashman

We study the effect of stellar mass segregation driven by collisional relaxation within the potential well of a smooth dark matter halo. This effect is of particular relevance for old stellar systems with short crossing times, where small…

Astrophysics of Galaxies · Physics 2025-11-03 Raphaël Errani , Jorge Peñarrubia , Matthew G. Walker

We give a closer look at the Central Limit Theorem (CLT) behavior in quasi-stationary states of the Hamiltonian Mean Field model, a paradigmatic one for long-range-interacting classical many-body systems. We present new calculations which…

Statistical Mechanics · Physics 2008-03-17 A. Pluchino , A. Rapisarda , C. Tsallis

The collective properties of star clusters are investigated using a simulation of the collision between two dwarf galaxies. The characteristic power law of the cluster mass function, N(M), with a logarithmic slope d\log N/d\log M ~ -1, is…

Astrophysics of Galaxies · Physics 2024-08-16 Bruce G. Elmegreen , Natalia Lahen

A microcanonical multifragmentation model (MMM) is used for investigating whether equilibration really occurs in the dynamical evolution of two heavy ion collisions simulated via a stochastic mean field approach (SMF). The standard…

Nuclear Theory · Physics 2009-11-11 A. H. Raduta , M. Colonna , V. Baran , M. Di Toro

The study of the normalized sum of random variables and its asymptotic behaviour has been and continues to be a central chapter in probability and statistical mechanics. When those variables are independent the central limit theorem ensures…

Mathematical Physics · Physics 2012-12-18 M. Fedele

Pattern formation in biological, chemical and physical problems has received considerable attention, with much attention paid to dissipative systems. For example, the Ginzburg--Landau equation is a normal form that describes pattern…

Statistical Mechanics · Physics 2013-03-04 N. J. Balmforth , P. J. Morrison , J. -L. Thiffeault

We study the Hamiltonian Mean Field (HMF) model of coupled Hamiltonian rotors with a heterogeneous distribution of moments of inertia and coupling strengths. We show that when the parameters of the rotors are heterogeneous, finite size…

Chaotic Dynamics · Physics 2014-06-10 Juan G. Restrepo , James D. Meiss

In this paper we focus our attention on small-to-intermediate N-body systems that are, initially, distributed uniformly in space and dynamically cool (virial ratios $Q=2T/|\Omega|$ below ~0.3). In this work, we study the mass segregation…

Astrophysics of Galaxies · Physics 2019-04-12 Mario Spera , Roberto Capuzzo-Dolcetta

It has been shown that galaxy properties depend strongly on their host environment. In order to understand the relevant physical processes driving galaxy evolution it is important to study the observed properties of galaxies in different…

Astrophysics of Galaxies · Physics 2015-06-23 Ian D. Roberts , Laura C. Parker , Gandhali D. Joshi , Fraser A. Evans

In this Review article, a brief description of the stochastic mean-field theory (SMF) for describing reaction dynamics in low-energy heavy-ion collisions at bombarding energies in the vicinity of the Coulomb barrier is presented. In these…

Nuclear Theory · Physics 2025-09-24 S. Ayik , M. Arik , O. Yilmaz , A. S. Umar

We show that the quasi-stationary states observed in the $N$-particle dynamics of the Hamiltonian Mean-Field (HMF) model are nothing but Vlasov stable homogeneous (zero magnetization) states. There is an infinity of Vlasov stable…

Statistical Mechanics · Physics 2009-11-11 Julien Barr'e , Freddy Bouchet , Thierry Dauxois , Stefano Ruffo , Yoshiyuki Y. Yamaguchi

Stellar mass governs stellar evolution and the distribution of stellar masses plays a central role in the dynamical evolution of stellar clusters. Using high-precision astrometry and photometry from Gaia DR3, we investigate mass segregation…

Astrophysics of Galaxies · Physics 2026-05-27 Jeison Alfonso , Alejandro Garcia-Varela , Katherine Vieira

We study the out-of-equilibrium properties of the antiferromagnetic Hamiltonian Mean-Field model at low energy. In this regime, the Hamiltonian dynamics exhibits the presence of a stationary state where the rotators are gathered in a…

Statistical Mechanics · Physics 2021-11-10 Arthur Vesperini , Roberto Franzosi , Stefano Ruffo , Andrea Trombettoni , Xavier Leoncini

The Hamiltonian Mean Field (HMF) model is a prototype for systems with long-range interactions. It describes the motion of $N$ particles moving on a ring, coupled through an infinite-range potential. The model has a second order phase…

Chaotic Dynamics · Physics 2013-03-26 Thanos Manos , Stefano Ruffo

The effect of nearest-neighbor coupling on the thermodynamic and dynamical properties of the ferromagnetic Hamiltonian Mean Field model (HMF) is studied. For a range of antiferromagnetic nearest-neighbor coupling, a canonical first order…

Statistical Mechanics · Physics 2009-11-11 Alessandro Campa , Andrea Giansanti , David Mukamel , Stefano Ruffo

Important gaps remain in our understanding of the thermodynamics and statistical physics of self-gravitating systems. Using mean field theory, here we investigate the equilibrium properties of several spherically symmetric model systems…

Statistical Mechanics · Physics 2009-10-31 Peter J. Klinko , Bruce N. Miller

The evolution of the global stellar mass function (MF) of star clusters is studied based on a large set of N-body simulations of clusters with a range of initial masses, initial concentrations, in circular or elliptical orbits in different…

Astrophysics of Galaxies · Physics 2015-06-15 Henny J. G. L. M. Lamers , Holger Baumgardt , Mark Gieles

This paper introduces and analyses some models in the framework of Mean Field Games describing interactions between two populations motivated by the studies on urban settlements and residential choice by Thomas Schelling. For static games,…

Analysis of PDEs · Mathematics 2016-07-18 Yves Achdou , Martino Bardi , Marco Cirant
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