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In this paper I extend the results of Ahmad & Cohen (1973), regarding the study of the probability distribution of the stochastic force in homogeneous gravitational systems, to inhomogeneous gravitational ones. To this aim, I study the…

Astrophysics · Physics 2007-05-23 A. Del Popolo

In this paper we extend Chandrasekhar and von Neumann's analysis of the statistics of the gravitational field to systems in which particles (e.g. stars, galaxies) are not homogeneously distributed. We derive a distribution function…

Astrophysics · Physics 2007-05-23 A. Del Popolo , M. Gambera , x

In this paper we extend Chandrasekhar and von Neumann's analysis of the statistics of the gravitational field to systems in which particles (e.g. stars, galaxies) are not homogeneously distributed. We derive a distribution function W(F,d…

Astrophysics · Physics 2007-05-23 A. Del Popolo

In this paper I show how the statistics of the gravitational field is changed when the system is characterized by a non-uniform distribution of particles. I show how the distribution functions W(dF/dt) giving the joint probability that a…

Astrophysics · Physics 2009-11-13 A. Del Popolo

In this paper I study the probability distribution of the gravitational force in gravitational systems through numerical experiments. I show that Kandrup's (1980) and Antonuccio-Delogu & Atrio-Barandela's (1992) theories describe correctly…

Astrophysics · Physics 2007-05-23 A. Del Popolo

Dynamical friction is an important phenomena in stellar dynamics resulting in the slowing down of a test particle upon many two-body scatters with background particles. Chandrasekhar's original formulation, developed for idealized infinite…

Astrophysics of Galaxies · Physics 2025-08-27 Pierfrancesco Di Cintio , Bruno Marcos

An introductory exposition of Chandrasekhar's gravitational dynamical friction, appropriate for an undergraduate class in mec hanics, is presented. This friction results when a massive particle moving through a ``sea'' of much lighter star…

Classical Physics · Physics 2007-05-23 Hector Aceves , Maria Colosimo

We study the effect of Chandrasekhar and Holstmark's distribution of field fluctuations on the dynamics of N-body systems interacting via Coulomb or Newton gravitational force. We develop an approach based on statistical dynamics first…

Classical Physics · Physics 2014-01-21 Y. Chaffi , R. Casta , L. Brenig

We extend the classical formulation of the dynamical friction effect on a test star by Chandrasekhar to the case of relativistic velocities and velocity distributions also accounting for post-Newtonian corrections to the gravitational…

Astrophysics of Galaxies · Physics 2023-09-27 Caterina Chiari , Pierfrancesco Di Cintio

The motion of a point like object of mass $M$ passing through the background potential of massive collisionless particles ($m << M$) suffers a steady deceleration named dynamical friction. In his classical work, Chandrasekhar assumed a…

Astrophysics of Galaxies · Physics 2016-05-25 J. M. Silva , J. A. S. Lima , R. E. de Souza , A. Del Popolo , Morgan Le Delliou , Xi-Guo Lee

The analytical generalization of the classical dynamical friction formula (derived under the assumption that all the field particles have the same mass) to the case in which the masses of the field particles are distributed with a mass…

Astrophysics of Galaxies · Physics 2015-05-18 Luca Ciotti

General self-consistent expressions for the coefficients of diffusion and dynamical friction in a stable, bound, multicomponent self-gravitating and inhomogeneous system are derived. They account for the detailed dynamics of the colliding…

Astrophysics of Galaxies · Physics 2017-06-20 Jean Heyvaerts , Jean-Baptiste Fouvry , Pierre-Henri Chavanis , Christophe Pichon

We use the Chandrasekhar formalism and direct N-body simulations to study the effect of dynamical friction on a test object only slightly more massive than the field stars, orbiting a spherically symmetric background of particles with a…

Solar and Stellar Astrophysics · Physics 2015-06-22 Emiliano Alessandrini , Barbara Lanzoni , Paolo Miocchi , Luca Ciotti , Francesco R. Ferraro , -

The discovery of dynamical friction was Chandrasekhar's best known contribution to the theory of stellar dynamics, but his work ranged from the few-body problem to the limit of large N (in effect, galaxies). Much of this work was summarised…

Astrophysics of Galaxies · Physics 2011-03-25 Douglas C. Heggie

A longstanding problem in galactic simulations is to resolve the dynamical friction (DF) force acting on massive black hole particles when their masses are comparable to or less than the background simulation particles. Many sub-grid models…

Astrophysics of Galaxies · Physics 2023-05-17 Linhao Ma , Philip F. Hopkins , Luke Zoltan Kelley , Claude-André Faucher-Giguère

(Abridged) Dynamical friction can be used to distinguish Newtonian gravity and modified Newtonian dynamics (MOND) because it works differently in these frameworks. This concept, however, has yet to be explored very much with MOND. Previous…

Astrophysics of Galaxies · Physics 2021-09-29 Michal Bílek , Hongsheng Zhao , Benoit Famaey , Oliver Müller , Pavel Kroupa , Rodrigo Ibata

The motion of a point like object of mass M passing through the background potential of massive collisionless particles (m << M) suffers a steady deceleration named dynamic friction. In his classical work, Chandrasekhar assumed a Maxwellian…

Solar and Stellar Astrophysics · Physics 2012-02-10 J. M. Silva , J. A. S. Lima , R. E. de Souza

We study a model of rolling particles subject to stochastic fluctuations, which may be relevant in systems of nano- or micro-scale particles where rolling is an approximation for strong static friction. We consider the simplest possible…

Mathematical Physics · Physics 2016-10-04 Miranda Holmes-Cerfon

We study the statistics of the force felt by a particle in the class of spatially correlated distribution of identical point-like particles, interacting via a $1/r^2$ pair force (i.e. gravitational or Coulomb), and obtained by randomly…

Statistical Mechanics · Physics 2009-11-11 A. Gabrielli , T. Baertschiger , M. Joyce , B. Marcos , F. Sylos Labini

Following a wave-mechanical treatment we calculate the drag force exerted by an infinite homogeneous background of stars on a perturber as this makes its way through the system. We recover Chandrasekhar's classical dynamical friction (DF)…

Astrophysics · Physics 2008-04-02 O. Esquivel , B. Fuchs
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