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 densitymatrix 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:condmat/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
 EPrint:
 18 pages, plain LATEX, to appear in Physical Review E