Ramakrishnan-Yussouff theory

Freezing transitions have been examined in recent years by density functional methods [306-313]. Here we review the results [298] of a modification of the Ramakrishnan-Yussouff theory to the model fluid with Hamiltonian (Eq. (25)) a related study of phase transitions in a system of hard discs in two dimensions with Ising internal states which couple anti-ferromagnetically to their neighbors is shown in Ref. 304. First, a combined... 

The first density-functional theory of melting to make use of the modern direct correlation function-based approach to liquid theory was formulated by Ramakrishnan and Yussouff [127], who treated crystalline order as a perturbation on liquid order. This perturbative approach to... 

One of the most active areas of research in the statistical mechanics of interfacial systems in recent years has been the problem of freezing. The principal source of progress in this field has been the application of the classical density-functional theories (for a review of the fundamentals in these methods, see, for example, Evans ). For atomic fluids, such apphcations were pioneered by Ramakrishnan and Yussouff and subsequently by Haymet and Oxtoby and others (see, for example, Baret et al. ). Of course, such theories can also be applied to the vapor-liquid interface as well as to problems such as phase transitions in liquid crystals. Density-functional theories for these latter systems have not so far involved use of interaction site models for the intermolecular forces. 

The first application of what would now be called density functional theory to the calculation of SFE was given by Ramakrishnan and Yussouff [115,116], although they did not use this terminology. A rederivation of their theory within the density functional context and a generalization to the theory of the solid-liquid interface was presented subsequently by Haymet and Oxtoby [117]. During the following decade this approach has been extensively developed and applied to a variety of problems. 

Ramakrishnan, T.V., and Yussouff, M. Theory of the liquid-sohd transition. 1977. Solid State Gomm. 21 389. Ramakrishnan, T.V., and Yussouff, M. First-principles order-parameter theory of freezing. 1979. Phys. Rev. B Gondens Matter and Mater. Phys. 9 2775. 

Ramakrishnan, T.V. and Yussouff, M., 1979, First-principles of order-parameter theory of freezing, Phys. Rev. B., 19 2775. 

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