Surface tension, hydrophobicity, and black holes: The entropic connection
Abstract
The geometric entropy arising from partitioning space in a fluid ``field theory'' is shown to be linearly proportional to the area of an excluded region. The coefficient of proportionality is related to surface tension by a thermodynamic argument. Good agreement with experimental data is obtained for a number of fluids. The calculation employs a density-matrix formalism developed previously for studying the origin of black hole entropy. This approach may lead to a practical technique for the evaluation of thermodynamic quantities with important entropic components.
- Publication:
-
Physical Review E
- Pub Date:
- April 1996
- DOI:
- 10.1103/PhysRevE.53.3738
- arXiv:
- arXiv:cond-mat/9601111
- Bibcode:
- 1996PhRvE..53.3738C
- Keywords:
-
- 68.10.Cr;
- 05.30.Ch;
- 61.20.Gy;
- 97.60.Lf;
- Quantum ensemble theory;
- Theory and models of liquid structure;
- Black holes;
- Condensed Matter;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 18 pages, plain LATEX, to appear in Physical Review E