Hydrodynamic equations for dense fluid mixtures with multistep interaction between particles

Токарчук, М. В.; Humenyuk, Y. A.

doi:10.5488/cmp.10.2.151

Cited by 2 publications

(2 citation statements)

References 26 publications

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“…There are only a few model systems for which it is possible to introduce a proper kinetic equation (and then in the approximation of paired collisions) and obtain formulas for the transfer coefficients. This is a system of solid spheres [32][33][34][36][37][38][39][40][41], a system with a square-well potential(SWP) [42][43][44][45][46][47][48][49][50][51] and with a multistep potential (MSP) [52][53][54][55][56][57][58][59] as a generalization of SWP. The first model system replaces all the real potential by the effective diameter of solid spheres.…”

Section: Introductionmentioning

confidence: 99%

To the kinetic theory of dense gases and liquids. Calculation of quasi-equilibrium particle distribution functions by the method of collective variables

Токарчук¹

2022

Math. Model. Comput.

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Based on a chain of BBGKI equations with a modified boundary condition that takes into account multiparticle correlations, kinetic equations in the approximate "pairs" collisions and in the polarization approximation, taking into account the interaction through the third particle, obtained. The specifics of the model representation of the pair potential of particle interaction through short-range and long-range parts were taken into account. In the case of the short-range potential in the form of the potential of solid spheres, the contribution of Enskog's revised theory to the complete integration of the collision of the kinetic equation is obtained. The collision integrals include paired quasi-equilibrium distribution functions that depend on the nonequilibrium mean values of the particle number density and the inverse temperature. The method of collective variables Yukhnovskii is applied for the calculation of pair quasi-equilibrium distribution function with an allocation of short-range and long-range parts in the potential of the interaction of particles. In this case, the system with short-range interaction is considered as a frame of reference.

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Section: Introductionmentioning

confidence: 99%

To the kinetic theory of dense gases and liquids. Calculation of quasi-equilibrium particle distribution functions by the method of collective variables

Токарчук¹

2022

Math. Model. Comput.

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show abstract

“…There are only a few model systems for which it is possible to introduce a proper kinetic equation (and then in the approximation of paired collisions) and obtain formulas for the transfer coefficients. This is a system of solid spheres, [32][33][34][36][37][38][39][40][41] a system with a square-well potential(SWP) [42][43][44][45][46][47][48][49][50][51] and with a multistep potential (MSP) [52][53][54][55][56][57][58][59] as a generalization of SWP. The first model system replaces all the real potential by the effective diameter of solid spheres.…”

Section: Introductionmentioning

confidence: 99%

To the kinetic theory of dense gases and liquids. Calculation of quasi-equilibrium particle distribution functions by the method of collective variables

Tokarchuk

2022

Preprint

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Based on a chain of BBGKI equations with a modified boundary condition that takes into account multiparticle correlations, kinetic equations in the approximate "pairs" collisions and in the polarization approximation, taking into account the interaction through the third particle, obtained. The specifics of the model representation of the pair potential of particle interaction through short-range and long-range parts were taken into account. In the case of the short-range potential in the form of the potential of solid spheres, the contribution of Enskog's revised theory to the complete integration of the collision of the kinetic equation is obtained. The collision integrals include paired quasi-equilibrium distribution functions that depend on the nonequilibrium mean values of the particle number density and the inverse temperature. The method of collective variables Yukhnovskii is applied for the calculation of pair quasi-equilibrium distribution 1 function with an allocation of short-range and long-range parts in the potential of the interaction of particles. In this case, the system with short-range interaction is considered as a frame of reference.

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Hydrodynamic equations for dense fluid mixtures with multistep interaction between particles

Cited by 2 publications

References 26 publications

To the kinetic theory of dense gases and liquids. Calculation of quasi-equilibrium particle distribution functions by the method of collective variables

To the kinetic theory of dense gases and liquids. Calculation of quasi-equilibrium particle distribution functions by the method of collective variables

To the kinetic theory of dense gases and liquids. Calculation of quasi-equilibrium particle distribution functions by the method of collective variables

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