Thermodynamics of a two-dimensional self-gravitating system

Details Thermodynamics of a two-dimensional self-gravitating system Thermodynamics of a two-dimensional self-gravitating system

May 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrve..49.3771a&link_type=abstract

Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 49, Issue 5, May 1994, pp

Physics

8

Classical Ensemble Theory, Kinetic Theory, Relativity And Gravitation

Scientific paper

The mean field thermodynamics of a system of N gravitationally interacting particles confined in some bounded plane domain Ω is considered in the four possible situations corresponding to the following two pairs of alternatives: (a) Confinement is due either to a rigid circular wall ∂Ω or to an imposed external pressure (in which case ∂Ω is a free boundary). (b) The system is either in contact with a thermal bath at temperature T, or it is thermally insulated. It is shown in particular that (i) for a system at given temperature T, a globally stable equilibrium (minimum free energy or minimum free enthalpy state for ∂Ω rigid or free, respectively) exists and is unique if and only if T exceeds a critical value Tc, and (ii) for a thermally insulated system, a unique globally stable (maximum entropy) equilibrium exists for any value of the energy (rigid ∂Ω) or of the enthalpy (free ∂Ω). The case of a system confined in a domain of arbitrary shape is also discussed. Bounds on the free energy and the entropy are derived, and it is proven that no isothermal equilibrium (stable or unstable) with a temperature T<=Tc can exist if the domain is ``star shaped.''

Affiliated with

Also associated with

No associations

Rating

Thermodynamics of a two-dimensional self-gravitating system does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Thermodynamics of a two-dimensional self-gravitating system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermodynamics of a two-dimensional self-gravitating system will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1680973