ISSN:
1089-7690
Source:
AIP Digital Archive
Topics:
Physics
,
Chemistry and Pharmacology
Notes:
Many real porous solids and possibly composite complex liquid systems such as microemulsions can be modeled as a random porous medium with given void fraction and specific interface area, thereby providing a means for estimation of many physical properties of the real systems. Another, even simpler model consists of a random array of mutually penetrable spheres [the random spheres model (RSM)], the void fraction and specific interface of which may be chosen. We have augmented this model to include penetrable spheres having a "random'' distribution of sizes. If the RSM and the random porous solid model exhibited similar behavior, the RSM could then be applied in studies of real porous solids and microemulsions, specifically in computation of the "entropy of mixing'' of oil and water domains in a microemulsion in the continuum rather than on a lattice. Recently it has been demonstrated that the entropy of mixing on a lattice may be appreciably less than the more accurate corresponding quantity in the continuum. We compare the RSM and the random solid model by means of their respective void–void correlation functions in one dimension where all results are exact.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.464203
