Title: Universality classes and critical phenomena in confined liquid systems
Author(s):

	A.V. Chalyi (Bogomolets National Medical University, Kyiv, Ukraine) ,
	L.A. Bulavin (Taras Shevchenko Kiev National University, Kyiv, Ukraine) ,
	V.F. Chekhun (Kavetskii Institute of Experimental Pathology, Oncology and Radiobiology, National Academy of Sciences of Ukraine) ,
	K.A. Chalyy (Bogomolets National Medical University, Kyiv, Ukraine) ,
	L.M. Chernenko (Chuiko Institute of Surface Chemistry, National Academy of Sciences of Ukraine) ,
	A.M. Vasilev (Taras Shevchenko Kiev National University, Kyiv, Ukraine) ,
	E.V. Zaitseva (Bogomolets National Medical University, Kyiv, Ukraine) ,
	G.V. Khrapijchyk (Bogomolets National Medical University, Kyiv, Ukraine) ,
	A.V. Siverin (Taras Shevchenko Kiev National University, Kyiv, Ukraine) ,
	M.V. Kovalenko (Taras Shevchenko Kiev National University, Kyiv, Ukraine)

It is well known that the similar universal behavior of infinite-size (bulk) systems of different nature requires the same basic conditions: space dimensionality; number components of order parameter; the type (short- or long-range) of the intermolecular interaction; symmetry of the fluctuation part of thermodynamical potential. Basic conditions of similar universal behavior of confined systems needs the same supplementary conditions such as the number of monolayers for a system confinement; low crossover dimensionality, i.e., geometric form of restricted volume; boundary conditions on limiting surfaces; physical properties under consideration. This review paper is aimed at studying all these conditions of similar universal behavior for diffusion processes in confined liquid systems. Special attention was paid to the effects of spatial dispersion and low crossover dimensionality. This allowed us to receive receiving correct nonzero expressions for the diffusion coefficient at the critical point and to take into account the specific geometric form of the confined liquid volume. The problem of 3D⇔2D dimensional crossover was analyzed. To receive a smooth crossover for critical exponents, the Kawasaki-like approach from the theory of mode coupling in critical dynamics was proposed. This ensured a good agreement between data of computer experiment and theoretical calculations of the size dependence of the critical temperature T_c(H) of water in slitlike pores. The width of the quasi-elastic scattering peak of slow neutrons near the structural phase transition in the aquatic suspensions of plasmatic membranes (mesostructures with the typical thickness up to 10 nm) was studied. It was shown that the width of quasi-elastic peak of neutron scattering decreases due to the process of cell proliferation, i.e., with an increase of the membrane size (including the membrane thickness). Thus, neutron studies could serve as an additional diagnostic test for the process of tumor formation.

Key words: universality classes, confined liquid systems, spatial dispersion, low crossover dimensionality, dimensional crossover, width of quasi-elastic peak, neutron scattering
PACS: 05.70.Jk, 68.18.Jk, 68.35.Rh, 61.12.-q, 82.56.Lz

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