Density fluctuations and entropy

Details Density fluctuations and entropy Density fluctuations and entropy

2000-03-14

arxiv.org/abs/cond-mat/0003230v2

Physics

Condensed Matter

Statistical Mechanics

7 pages, ref. [5] added and included in introduction and conclusions

Scientific paper

10.1103/PhysRevE.62.6577

A new functional for the entropy that is asymptotically correct both in the high and low density limits is proposed. The new form is [ S=S^{(id)}+S^{(ln)}+S^{(r)}+S^{(c)} ] where the new term S^{(c)} depends on the p-bodies density fluctuations $\alpha_p$ and has the form [ S^{(c)}= {ln 2-1+\sum_{p=2}^\infty \frac{(\ln 2) ^p}{p!}\alpha_p-[ \exp (\alpha_2-1)-\alpha_2]} +\hat S ], where $\hat S$ renormalizes the ring approximation S^{(r)}. This result is obtained by analyzing the functional dependence of the most general expression of the entropy: Two main results for S^{(c)} are proven: i) In the thermodynamic limit, only the functional dependence on the one body distribution function survives and ii) by summing to infinite order the leading contributions in the density a new numerical expression for the entropy is proposed with a new renormalized ring approximation included. The relationship of these results to the incompressible approximation to entropy is discussed.

Affiliated with

Also associated with

No associations

Rating

Density fluctuations and entropy 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 Density fluctuations and entropy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Density fluctuations and entropy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-459637