139 citations · 749 across the 49 of their papers we have counts for
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Very long-term relaxation of harmonic 1D self-gravitating systems
Kerwann Tep, Jean-Baptiste Fouvry, Christophe Pichon
One-dimensional self-gravitating systems admit genuine thermodynamical equilibria. For systems with strictly monotonic orbital frequency profile, the Landau and Balescu-Lenard theo…
Thermodynamic blocking in self-gravitating systems
Barnabás Deme, Jean-Baptiste Fouvry
Building upon a thermodynamic formalism, we show that self-gravitating systems in hydrostatic equilibrium with a uniform density are maximal entropy states when submitted to pertur…
On the long-term evolution of razor-thin galactic discs: Balescu-Lenard prediction and perspectives
Mathieu Roule, Jean-Baptiste Fouvry, Christophe Pichon +1
In the last five decades, numerical simulations have provided invaluable insights into the evolution of galactic discs over cosmic times. As a complementary approach, developments…
Vector Resonant Relaxation and Statistical Closure Theory. I. Direct Interaction Approximation
Sofia Flores, Jean-Baptiste Fouvry
Stars orbiting a supermassive black hole in the center of galaxies undergo very efficient diffusion in their orbital orientations: this is "Vector Resonant Relaxation". Such a dyna…
Kinetic Theory of Stellar Systems: A Tutorial
Chris Hamilton, Jean-Baptiste Fouvry
Stellar systems - star clusters, galaxies, dark matter haloes, and so on - are ubiquitous characters in the evolutionary tale of our Universe. This tutorial article is an introduct…
Non-resonant relaxation of rotating globular clusters
Kerwann Tep, Jean-Baptiste Fouvry, Christophe Pichon
The long-term relaxation of rotating, spherically symmetric globular clusters is investigated through an extension of the orbit averaged Chandrasekhar non-resonant formalism. A com…
Predicting the linear response of self-gravitating stellar spheres and discs with LinearResponse.jl
Michael S. Petersen, Mathieu Roule, Jean-Baptiste Fouvry +2
We present LinearResponse.jl, an efficient, versatile public library written in julia to compute the linear response of self-gravitating (3D spherically symmetric) stellar spheres…
Constraining intermediate-mass black holes from the stellar disc of SgrA*
Jean-Baptiste Fouvry, María José Bustamante-Rosell, Aaron Zimmerman
Stars evolving around a supermassive black hole see their orbital orientations diffuse efficiently, a process called "vector resonant relaxation". In particular, stars within the s…
Non-resonant relaxation of anisotropic globular clusters
Kerwann Tep, Jean-Baptiste Fouvry, Christophe Pichon
Globular clusters are dense stellar systems whose core slowly contracts under the effect of self-gravity. The rate of this process was recently found to be directly linked to the i…
Orbital alignment and mass segregation in galactic nuclei via vector resonant relaxation
Nathan Magnan, Jean-Baptiste Fouvry, Christophe Pichon +1
Supermassive black holes dominate the gravitational potential in galactic nuclei. In these dense environments, stars follow nearly Keplerian orbits and see their orbital planes rel…
Linear response theory and damped modes of stellar clusters
Jean-Baptiste Fouvry, Simon Prunet
Because all stars contribute to its gravitational potential, stellar clusters amplify perturbations collectively. In the limit of small fluctuations, this is described through line…
Resonant and non-resonant relaxation of globular clusters
Jean-Baptiste Fouvry, Chris Hamilton, Simon Rozier +1
Globular clusters contain a finite number of stars. As a result, they inevitably undergo secular evolution (`relaxation') causing their mean distribution function (DF) to evolve on…
Mapping the Galactic centre's dark cluster via Resonant Relaxation
Kerwann Tep, Jean-Baptiste Fouvry, Christophe Pichon +4
Supermassive black holes in the centre of galaxies dominate the gravitational potential of their surrounding stellar clusters. In these dense environments, stars follow nearly Kepl…
Secular Dynamics around a Supermassive Black Hole via Multipole Expansion
Jean-Baptiste Fouvry, Walter Dehnen, Scott Tremaine +1
In galactic nuclei, the gravitational potential is dominated by the central supermassive black hole, so stars follow quasi-Keplerian orbits. These orbits are distorted by gravitati…
Relaxation in a Fuzzy Dark Matter Halo. II. Self-consistent kinetic equations
Ben Bar-Or, Jean-Baptiste Fouvry, Scott Tremaine
Fuzzy dark matter (FDM) is composed of ultra-light bosons having a de Broglie wavelength that is comparable to the size of the stellar component of galaxies at typical galactic vel…
Young stellar cluster dilution near supermassive black holes: the impact of Vector Resonant Relaxation on neighbour separation
Juan Giral Martínez, Jean-Baptiste Fouvry, Christophe Pichon
We investigate the rate of orbital orientation dilution of young stellar clusters in the vicinity of supermassive black holes. Within the framework of vector resonant relaxation, w…
The Strength of the Dynamical Spiral Perturbation in the Galactic Disk
Anna-Christina Eilers, David W. Hogg, Hans-Walter Rix +4
The mean Galactocentric radial velocities of luminous red giant stars within the mid-plane of the Milky Way reveal a spiral signature, which could plaus…
Mapping the stability of stellar rotating spheres via linear response theory
Simon Rozier, Jean-Baptiste Fouvry, Philip G. Breen +3
Rotation is ubiquitous in the Universe, and recent kinematic surveys have shown that early type galaxies and globular clusters are no exception. Yet the linear response of spheroid…
Vector Resonant Relaxation of Stars around a Massive Black Hole
Jean-Baptiste Fouvry, Ben Bar-Or, Pierre-Henri Chavanis
In the vicinity of a massive black hole, stars move on precessing Keplerian orbits. The mutual stochastic gravitational torques between the stellar orbits drive a rapid reorientati…
Instabilities in disc galaxies: from noise to grooves to spirals
Sven De Rijcke, Jean-Baptiste Fouvry, Christophe Pichon
Using the linearized Boltzmann equation, we investigate how grooves carved in the phase space of a half-mass Mestel disc can trigger the vigorous growth of two-armed spiral eigenmo…
How gravitational softening affects galaxy stability I. Linear mode analysis of disc galaxies
Sven De Rijcke, Jean-Baptiste Fouvry, Walter Dehnen
Linear perturbation is used to investigate the effect of gravitational softening on the retrieved two-armed spiral eigenmodes of razor-thin stellar discs. We explore four softening…
Relaxation in a Fuzzy Dark Matter Halo
Ben Bar-Or, Jean-Baptiste Fouvry, Scott Tremaine
Dark matter may be composed of light bosons, , with a de Broglie wavelength in typical galactic potentials. Such `fuzzy'…
Revisiting relaxation in globular clusters
Chris Hamilton, Jean-Baptiste Fouvry, James Binney +1
The classical theory of cluster relaxation is unsatisfactory because it involves the Coulomb logarithm. The Balescu-Lenard (BL) equation provides a rigorous alternative that has no…
Scalar Resonant Relaxation of Stars Around a Massive Black Hole
Ben Bar-Or, Jean-Baptiste Fouvry
In nuclear star clusters, the potential is governed by the central massive black hole, so that stars move on nearly Keplerian orbits and the total potential is almost stationary in…