On the equivalence of the microcanonical and the canonical ensembles: a geometrical approach

Details On the equivalence of the microcanonical and the canonical ensembles: a geometrical approach On the equivalence of the microcanonical and the canonical ensembles: a geometrical approach

2007-08-14

arxiv.org/abs/0708.1866v3

Nonlinear Sciences

Chaotic Dynamics

9 pages, 0 figures

Scientific paper

In this paper, we consider the volume enclosed by the microcanonical ensemble in phase space as a statistical ensemble. This can be interpreted as an intermediate image between the microcanonical and the canonical pictures. By maintaining the ergodic hypothesis over this ensemble, that is, the equiprobability of all its accessible states, the equivalence of this ensemble in the thermodynamic limit with the microcanonical and the canonical ensembles is suggested by means of geometrical arguments. The Maxwellian and the Boltzmann-Gibbs distributions are obtained from this formalism. In the appendix, the derivation of the Boltzmann factor from a new microcanonical image of the canonical ensemble is also given.

Affiliated with

Also associated with

No associations

Rating

On the equivalence of the microcanonical and the canonical ensembles: a geometrical approach 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 On the equivalence of the microcanonical and the canonical ensembles: a geometrical approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the equivalence of the microcanonical and the canonical ensembles: a geometrical approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-389477