Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-05-08
Physics
Condensed Matter
Statistical Mechanics
13 pages, no figures, accepted for publication Molec. Physics (2002)
Scientific paper
10.1080/00268970210153808
The compressibility equation of state for a multicomponent fluid of particles interacting via an infinitely narrow and deep potential, is considered within the mean spherical approximation (MSA). It is shown that for a class of models leading to a particular form of the Baxter functions $q_{ij}(r)$ containing density-independent stickiness coefficient, the compressibility EOS does not exist, unlike the one-component case. The reason for this is that a direct integration of the compressibility at fixed composition, cannot be carried out due to the lack of a reciprocity relation on the second order partial derivatives of the pressure with respect to two different densities. This is, in turn, related to the inadequacy of the MSA. A way out to this drawback is presented in a particular example, leading to a consistent compressibility pressure, and a possible generalization of this result is discussed.
Gazzillo Domenico
Giacometti Achille
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