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Classification of self-organized vortices in two-dimensional turbulence : the case of a bounded domain

- P. Chavanis, J. Sommeria
- Physics
- 1 May 1996

We calculate steady solutions of the Euler equations for any given value of energy and circulation (and angular momentum in the case of a circular domain). A linear relationship between vorticity and… Expand

Gravitational instability of finite isothermal spheres

- P. Chavanis
- Physics
- 11 March 2001

We investigate the stability of bounded self-gravitating systems in the canonical ensemble by using a thermodynamical approach. Our study extends the earlier work of Padmanabhan ([CITE]) in the… Expand

Mass-radius relation of Newtonian self-gravitating Bose-Einstein condensates with short-range interactions: II. Numerical results

- P. Chavanis
- Physics
- 10 March 2011

Several recent astrophysical observations of distant type Ia supernovae have revealed that the content of the universe is made of about 70% of dark energy, 25% of dark matter and 5% of baryonic… Expand

Statistical Mechanics of Violent Relaxation in Stellar Systems

- P. Chavanis
- Physics
- 9 December 2002

We discuss the statistical mechanics of violent relaxation in stellar systems following the pioneering work of (1967). The solutions of the gravitational Vlasov-Poisson system develop finer and finer… Expand

PHASE TRANSITIONS IN SELF-GRAVITATING SYSTEMS

- P. Chavanis
- Physics
- 10 September 2006

We discuss the nature of phase transitions in self-gravitating systems. We show the connection between the binary star model of Padmanabhan, the thermodynamics of stellar systems and the… Expand

Kinetic theory of long-range interacting systems with angle–action variables and collective effects

- P. Chavanis
- Physics
- 7 July 2011

We develop a kinetic theory of systems with long-range interactions taking collective effects and spatial inhomogeneity into account. Starting from the Klimontovich equation and using a quasilinear… Expand

Trapping of dust by coherent vortices in the solar nebula

- P. Chavanis
- Physics
- 6 December 1999

We develop the idea proposed by Barge & Sommeria (1995) and Tanga et al. (1996) that large-scale vortices present in the solar nebula can concentrate dust particles and facilitate the formation of… Expand

Kinetic theory of spatially inhomogeneous stellar systems without collective effects

- P. Chavanis
- Physics
- 21 October 2012

We review and complete the kinetic theory of spatially inhomogeneous stellar systems when collective effects (dressing of the stars by their polarization cloud) are neglected. We start from the BBGKY… Expand

Statistical Mechanics of Two-Dimensional Vortices and Collisionless Stellar Systems

- P. Chavanis, J. Sommeria, R. Robert
- Physics
- 1 November 1996

In this article, we stress the analogy between two-dimensional vortices and collisionless stellar systems. This analogy is based on the similar morphology of the Euler and Vlasov equations. These… Expand

Generalized thermodynamics and Fokker-Planck equations: applications to stellar dynamics and two-dimensional turbulence.

- P. Chavanis
- Physics, MedicinePhysical review. E, Statistical, nonlinear, and…
- 4 September 2002

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