Pair correlation functions and the self-diffusion coefficient of Lennard-Jones liquid on the modified free volume theory of diffusion

Article Abstract:

The Matteoli-Mansoori empirical formula is applied for the pair correlation function of simple fluids obeying the Lennard-Jones potential to calculate reduced self-diffusion coefficients on the basis of the modified free volume theory. It is shown that Matteoli-Mansoori empirical formula yields sufficiently accurate self-diffusion coefficients in the supercritical regime, provided that the minimum free volume activating diffusion is estimated with the classical turning point of binary collision at the mean relative kinetic energy.

Fluid dynamics, Chemistry, Physical and theoretical, Physical chemistry, Diffusion, Diffusion (Physics)

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Generic van der Walls equation of state, modified free volume theory of diffusion, and viscosity of simple liquids

Article Abstract:

The shear viscosity formula derived by the density functional theory is computed for argon, krypton, and methane by using the self-diffusion coefficients derived in the modified free volume theory with the help of the generic van der Waals equation. The theory is successfully tested in comparison with experimental data for self-diffusion coefficients and shear viscosity for argon, krypton, and methane.

Industrial Gas Manufacturing, Industrial gases, Argon, Krypton, Methane, Density functionals, Density functional theory, Chemical properties

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Irreversible thermodynamics of neural networks: calortropy production in logic operations

Article Abstract:

The investigation of the irreversible thermodynamics of neural networks formulation and energy and matter dissipation accompanying logic operations is presented. The logic operations in the neural networks are regarded as evolution of the states of neurons in the network toward the steady-state values of the calortropy production characteristic of the logic operations.

Research and Development in the Physical, Engineering, and Life Sciences, Physical Sciences, Thermodynamics, Energy dissipation

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