Extensions of the quasi - Gaussian entropy
نویسنده
چکیده
In this paper we present the quasi-Gaussian entropy theory in a comprehensive and consistent way, introducing a new derivation of the theory very suited for applications to molecular systems, and addressing its use in the case of multi-phase systems. A general derivation of the possible connnement of the system within a part of phase space is given, and for water it is shown that for this a hard sphere excluded volume model can be used. To obtain the temperature dependence of the pressure, a new diier-ential equation is derived, and besides the previously introduced Gaussian and Gamma states, in this paper we also describe a new statistical state, the Inverse Gaussian state. We discuss the properties of these diierent statistical states and for water compare their thermodynamics with experimental data, nding that both the Gamma and Inverse Gaussian states are excellent descriptions.
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