Boltzmann Equation Field Theory I: Ensemble Averages
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912943443017728 |
|---|---|
| author | Lau, Jun Yan |
| author_facet | Lau, Jun Yan |
| contents | I present an unbiased method of mapping particles to distribution functions and vice versa. This method alone defines the canonical formulation of statistical mechanics, since it can be used to derive the principle of maximum entropy in both Boltzmann's paradigm and Gibbs' paradigm. A rigorous definition of the macrostate enables application of this statistical mechanical theory to self-gravitating systems, by decoupling time-averages and ensemble averages. I compute two-point correlation functions for self-gravitating and electrostatic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_04508 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Boltzmann Equation Field Theory I: Ensemble Averages Lau, Jun Yan Astrophysics of Galaxies Mathematical Physics Plasma Physics I present an unbiased method of mapping particles to distribution functions and vice versa. This method alone defines the canonical formulation of statistical mechanics, since it can be used to derive the principle of maximum entropy in both Boltzmann's paradigm and Gibbs' paradigm. A rigorous definition of the macrostate enables application of this statistical mechanical theory to self-gravitating systems, by decoupling time-averages and ensemble averages. I compute two-point correlation functions for self-gravitating and electrostatic systems. |
| title | Boltzmann Equation Field Theory I: Ensemble Averages |
| topic | Astrophysics of Galaxies Mathematical Physics Plasma Physics |
| url | https://arxiv.org/abs/2310.04508 |