Dimensional Crossover and Thermophysical Properties of Nanoscale Condensed Matter
Keywords:dimensional crossover, confined systems, effective critical exponents, isochoric heat capasity, isothermal compressibility
The problem going to be discussed is as follows: how results for 3D systems transfer to results for 2D systems and vice versa. Obviously, such a 3D ⇔ 2D dimensional crossover should be smooth and without discontinuities. Here, this problem is studied for a single-component classical liquid in a reduced geometry, namely for slit-like and cylindrical pores with the lower crossover dimensionality Dcros = 2 and Dcros = 1, correspondingly, which are filled by water molecules. The influence of the 3D ⇔ 2D dimensional crossover on the effective critical exponents aeff, veff, yeff and on the thermophysical properties such as the heat capacity CV and the isothermal compressibility BT is investigated.
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