139 citations · 749 across the 49 of their papers we have counts for
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From Landau Equation and Large Deviations to Efficient Simulations of Dynamical Fluctuations
Anwar El Rhirhayi, Jean-Baptiste Fouvry, Julien Barré
The (deterministic) Landau equation captures the mean long-term evolution of dynamically hot long-range interacting finite- systems. Though successful, this kinetic equation fun…
Vector Resonant Relaxation and Statistical Closure Theory. II. One-loop Closure
Sofia Flores, Jean-Baptiste Fouvry
We use stellar dynamics as a testbed for statistical closure theory. We focus on the process of "Vector Resonant Relaxation," a long-range, non-linear, and correlated relaxation me…
Kinetic theory of two-dimensional point vortices at order and
Jean-Baptiste Fouvry, Pierre-Henri Chavanis
We investigate the long-term relaxation of a distribution of point vortices in two-dimensional hydrodynamics. To focus on the regime of weak collective amplification, we embed…
Dynamical large deviations for long-range interacting inhomogeneous systems without collective effects
Ouassim Feliachi, Jean-Baptiste Fouvry
We consider the long-term evolution of an inhomogeneous long-range interacting -body system. Placing ourselves in the dynamically hot limit, i.e. neglecting collective effects,…
Kinetic blockings in long-range interacting inhomogeneous systems
Jean-Baptiste Fouvry, Mathieu Roule
Long-range interacting systems unavoidably relax through Poisson shot noise fluctuations generated by their finite number of particles, . When driven by two-body correlations, i…
Kinetic theory of one-dimensional inhomogeneous long-range interacting -body systems at order without collective effects
Jean-Baptiste Fouvry
Long-range interacting systems irreversibly relax as a result of their finite number of particles, . At order , this process is described by the inhomogeneous Balescu--Lena…
Long-term relaxation of self-gravitating systems
Mathieu Roule, Jean-Baptiste Fouvry, Christophe Pichon +1
We investigate the long-term relaxation of one-dimensional () self-gravitating systems, using both kinetic theory and -body simulations. We consider thermal and Plummer eq…
Kinetic theory of one-dimensional homogeneous long-range interacting systems with an arbitrary potential of interaction
Jean-Baptiste Fouvry, Pierre-Henri Chavanis, Christophe Pichon
Finite- effects unavoidably drive the long-term evolution of long-range interacting -body systems. The Balescu-Lenard kinetic equation generically describes this process sour…
Kinetic theory of homogeneous long-range interacting systems sourced by effects
Jean-Baptiste Fouvry, Ben Bar-Or, Pierre-Henri Chavanis
The long-term dynamics of long-range interacting -body systems can generically be described by the Balescu-Lenard kinetic equation. However, for homogeneous systems, this…
Secular dynamics of long-range interacting particles on a sphere in the axisymmetric limit
Jean-Baptiste Fouvry, Ben Bar-Or, Pierre-Henri Chavanis
We investigate the secular dynamics of long-range interacting particles moving on a sphere, in the limit of an axisymmetric mean field potential. We show that this system can be de…
Functional integral derivation of the kinetic equation of two-dimensional point vortices
Jean-Baptiste Fouvry, Pierre-Henri Chavanis, Christophe Pichon
We present a brief derivation of the kinetic equation describing the secular evolution of point vortices in two-dimensional hydrodynamics, by relying on a functional integral forma…