Mecke K (2004)
Publication Status: Published
Publication Type: Journal article
Publication year: 2004
Publisher: AMERICAN PHYSICAL SOC
Book Volume: 93
Journal Issue: 16
DOI: 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 satisfied, 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, aside from 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.
APA:
Mecke, K. (2004). Morphological thermodynamics of fluids: Shape dependence of free energies. Physical Review Letters, 93(16). https://doi.org/10.1103/PhysRevLett.93.160601
MLA:
Mecke, Klaus. "Morphological thermodynamics of fluids: Shape dependence of free energies." Physical Review Letters 93.16 (2004).
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