The Secular Dressed Diffusion Equation
The secular dressed diffusion equation describes the long-term evolution of collisionless systems of particles with long-range interactions, such as self-gravitating systems submitted to a weak external stochastic perturbation. We successively consider nonrotating spatially homogeneous systems, rota...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-01-01
|
| Series: | Universe |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2218-1997/9/2/68 |
| _version_ | 1797617922224422912 |
|---|---|
| author | Pierre-Henri Chavanis |
| author_facet | Pierre-Henri Chavanis |
| author_sort | Pierre-Henri Chavanis |
| collection | DOAJ |
| description | The secular dressed diffusion equation describes the long-term evolution of collisionless systems of particles with long-range interactions, such as self-gravitating systems submitted to a weak external stochastic perturbation. We successively consider nonrotating spatially homogeneous systems, rotating spatially homogeneous systems, and spatially inhomogeneous systems. We contrast the secular dressed diffusion equation applying to collisionless systems perturbed by an externally imposed stochastic field from the Lenard–Balescu equation applying to isolated systems evolving because of discreteness effects (“collisions”). We discuss the connection between these two equations when the external noise is produced by a random distribution of field particles. |
| first_indexed | 2024-03-11T08:02:52Z |
| format | Article |
| id | doaj.art-71c990856b344a0eae6fcadf64caaa97 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-11T08:02:52Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-71c990856b344a0eae6fcadf64caaa972023-11-16T23:40:29ZengMDPI AGUniverse2218-19972023-01-01926810.3390/universe9020068The Secular Dressed Diffusion EquationPierre-Henri Chavanis0Laboratoire de Physique Théorique, Université de Toulouse, CNRS, UPS, 31062 Toulouse, FranceThe secular dressed diffusion equation describes the long-term evolution of collisionless systems of particles with long-range interactions, such as self-gravitating systems submitted to a weak external stochastic perturbation. We successively consider nonrotating spatially homogeneous systems, rotating spatially homogeneous systems, and spatially inhomogeneous systems. We contrast the secular dressed diffusion equation applying to collisionless systems perturbed by an externally imposed stochastic field from the Lenard–Balescu equation applying to isolated systems evolving because of discreteness effects (“collisions”). We discuss the connection between these two equations when the external noise is produced by a random distribution of field particles.https://www.mdpi.com/2218-1997/9/2/68self-gravitating systemskinetic theoryFokker–Planck equationangle-action variablescollective effects |
| spellingShingle | Pierre-Henri Chavanis The Secular Dressed Diffusion Equation Universe self-gravitating systems kinetic theory Fokker–Planck equation angle-action variables collective effects |
| title | The Secular Dressed Diffusion Equation |
| title_full | The Secular Dressed Diffusion Equation |
| title_fullStr | The Secular Dressed Diffusion Equation |
| title_full_unstemmed | The Secular Dressed Diffusion Equation |
| title_short | The Secular Dressed Diffusion Equation |
| title_sort | secular dressed diffusion equation |
| topic | self-gravitating systems kinetic theory Fokker–Planck equation angle-action variables collective effects |
| url | https://www.mdpi.com/2218-1997/9/2/68 |
| work_keys_str_mv | AT pierrehenrichavanis theseculardresseddiffusionequation AT pierrehenrichavanis seculardresseddiffusionequation |