Morphological Thermodynamics of Fluids: Shape Dependence of Free Energies

Details Morphological Thermodynamics of Fluids: Shape Dependence of Free Energies Morphological Thermodynamics of Fluids: Shape Dependence of Free Energies

2004-09-29

arxiv.org/abs/cond-mat/0409744v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures, accepted for publication in PRL

Scientific paper

10.1103/PhysRevLett.93.160601

We examine the dependence of a thermodynamic potential of a fluid on the geometry of its container. If motion invariance, continuity, and additivity of the potential are fulfilled, only four morphometric measures are needed to describe fully the influence of an arbitrarily shaped container on the fluid. These three constraints can be understood as a more precise definition for the conventional term "extensive" and have as a consequence that the surface tension and other thermodynamic quantities contain, beside a constant term, only contributions linear in the mean and Gaussian curvature of the container and not an infinite number of curvatures as generally assumed before. We verify this numerically in the entropic system of hard spheres bounded by a curved wall.

Affiliated with

Also associated with

No associations

Rating

Morphological Thermodynamics of Fluids: Shape Dependence of Free Energies 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 Morphological Thermodynamics of Fluids: Shape Dependence of Free Energies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Morphological Thermodynamics of Fluids: Shape Dependence of Free Energies will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-23480