21-23 December 2020
Online meeting
Europe/Kiev timezone

Compressibility and compactivity of bi-dispersive many-particle conglomerations (liquid and granular mixtures)

22 Dec 2020, 17:30
20m
Online meeting

Online meeting

Oral talk Statistical Theory of Many-body Systems Statistical Theory of Many-body Systems

Speaker

Mr Andrii Spivak (Odesa State Environmental University)

Description

We propose to use the apparatus of Kirkwood-Buff theory [1] in combination with Carnahan-Starling model [2] and Mansoori [3] equations of state together with the relevant phenomenological information, which obtained from the direct observations, to describe compressibility and compactivity of bi-dispersive many-particle conglomerations (liquid [4] and granular mixtures [5]). By use of above mentioned approach we found the possibility to describe substantiate empirical data in the full range of values of the volume (or molar) fraction. A good coincidence between theoretical and relevant experimental data has been outlined.

[1]. Kirkwood J.G., Buff F.P. The statistical mechanical theory of solutions. I. J. Chem. Phys. 19(6), 774-777 (1951) https://doi.org/10.1063/1.1748352
[2]. Carnahan N.F., Starling K.E. Equation of state for nonattracting rigid spheres. I. J. Chem. Phys. 51(2), 635-636. (1969) https://doi.org/10.1063/1.1672048
[3]. Mansoori G.A., Carnahan N.F., Starling K.E., Leland jr. T.W. Equilibrium Thermodynamic Properties of the Mixture of Hard Spheres. J. Chem. Phys. 54(4), 1523-1525 (1971) https://doi.org/10.1063/1.1675048
[4]. Aliotta F., Gapiński J., Pochylski M., Ponterio R.C., Saija F., Salvato G. Excess compressibility in binary liquid mixtures. J. Phys. Chem. 126(22), 224508 (2007) https://doi.org/10.1063/1.2745292
[5]. Pilliteri S., Lumay G., Opsomer E., Vandewalle N. From jamming to fast compaction dynamics in granular binary mixtures. Sci. Rep. 9(1), 7281 (2019) https://doi.org/10.1038/s41598-019-43519-6

Primary authors

Prof. Oleg Gerasymov (Odesa State Environmental University) Mr Andrii Spivak (Odesa State Environmental University) Liudmyla Sidletska (Odesa State Environmental University)

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