Investigation of some well known bulk fluid regularities for Lennard-Jones confined fluid in nanoslit pore

The modified fundamental measure theory has been employed to investigate some well known regularities of bulk fluid for the Lennard-Jones fluid confined in nanoslit pore. The regularities investigated include common compression point, common bulk modulus point, Tait-Murnaghan equation, and the linear regularity between pressure and temperature for each isochore. All these regularities have been investigated for two different components of pressure for confined fluid. Our results show that the common compression and common bulk modulus point remain valid for fluids confined in nanoslit pores of different sizes and with different wall-fluid potentials. The density of the common compression and common bulk modulus point are different from corresponding ones for the bulk fluid. Our observations also show that the Tait-Murnaghan equation and pressure-temperature linear regularity also hold for confined fluid. The sign of the intercept of pressure-temperature regularity is determined by the difference between attraction and repulsion terms in the compressibility factor.