Journal of Physical Studies 2(3), 296–321 (1998)
DOI: https://doi.org/10.30970/jps.02.296

APPLICATION OF THE CONTINUUM REPLICA METHODOLOGY FOR THE DESCRIPTION OF STRUCTURE AND THERMODYNAMICS OF QUENCHED-ANNEALED FLUID SYSTEMS

O. Pizio1, S. Sokolowski2
1Instituto de Química de la UNAM, Coyoacán 04510, México D. F.
2Department of Chemistry Marie Curie–Sk\l odowska University, Lublin, 200–31, Poland

In this review we have considered a problem of the description of quenched–annealed fluids in the framework of the liquid–state replica methodology. A statistical mechanical fundamentals of the theory are considered. Interesting developments and important results for the structure, thermodynamics, and particularly, for phase transitions in these systems, already available in the literature, are discussed. Our emphasis also is focused on the original contributions of the authors. We discuss results for two–dimensional partly quenched models, for inhomogeneous systems and chemically associating fluids in disordered porous environment. Charged annealed fluids adsorbed in charged disordered matrices are investigated finally. Mostly we consider the applications of the replica type integral equations for all the systems mentioned above. However, a computer simulation approach also is discussed and some original simulation data are given. In conclusion, we outline the issues unsolved so far and discuss areas which seem promising for future developments.

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