Diffusion Coefficient and Barodiffusion Ratio of Mesoscale Fluids in Their Critical Region

Authors

  • G.V. Khrapiichuk Taras Shevchenko National University of Kyiv, Faculty of Physics
  • O.V. Chalyi O.O. Bogomolets National Medical University, Chair of Medical and Biological Physics
  • L.M. Chernenko O.O. Chuiko Institute of Surface Chemistry, Nat. Acad. of Sci. of Ukraine

DOI:

https://doi.org/10.15407/ujpe55.9.988

Keywords:

-

Abstract

The calculation results for the dependences of the diffusion coefficient and the barodiffusion ratio on the pressure and the density in vicinity of the critical point obtained for spatially confined fluid systems are presented. The critical behavior of those kinetic properties in small volumes of fluids has been analyzed in
the fluctuation, dynamic crossover, and regular regions. Spatial dispersion effects have been taken into consideration to avoid the zero value of diffusion coefficient and the infinite value of barodiffusion ratio, when approaching the critical state. Numerical estimations that use experimental data have been made, and plots
that illustrate our theoretical calculations have been built.

References

M.E. Fisher, Critical Phenomena, in Proceedings of the 51-st Enrico Fermi Summer School of Physics, Varenna,

Italy, 1970, edited by M.S. Green (Academic Press, New York, 1971), p. 1.

K. Binder, Annu. Rev. Phys. Chem. 43, 33 (1992).

M.F. Barber, in Phase Transitions and Critical Phenomena, edited by C. Domb and J.L. Lebowitz (Academic Press, London, 1983), Vol. 8, p. 145.

O.V. Chalyi, Ya.V. Tsekhmister, and K.O. Chalyi, Processes of Ordering and Self-Organization in Fluctuation Models of Open Systems (Kyiv, Vipol, 2001) (in Ukrainian).

L.D. Landau and E.M. Lifshits, Statistical Physics, Part 1 (Pergamon Press, Oxford, 1980).

A.Z. Patashinski and V.L. Pokrovski, Fluctuation Theory of Phase Transitions (Pergamon Press, Oxford, 1982).

M.A. Anisimov, Critical Phenomena in Fluids and Fluid Crystals (Gordon and Breach, Philadelphia, 1991).

Physical Principles of Medical Ultrasonics, edited by C.R. Hill, J.C. Bamber, and G.R. ter Haar (Wiley, Chichester,

UK, 2004).

L.A. Bulavin and Yu.F. Zabashta, Ultrasonic Diagnostics in Medicine: Physical Foundations (VSP Books, Boston, 2007).

J.V. Chalyi and G.V. Khrapiichuk, Ukr. Fiz. Zh. 55, 461 (2010).

S.R. de Groot and P. Mazur, Non-Equilibrium Thermodynamics (North-Holland, Amsterdam, 1962).

D.N. Zubarev, Nonequilibrium Statistical Thermodynamics (Consultants Bureau, New York–London, 1974).

A.V. Chalyi, Nonequilibrium Processes in Physics and Biology (Kyiv, Naukova Dumka, 1997) (in Russian).

V.M. Sysoev and A.V. Chalyi, Teor. Mat. Fiz. 19, 283 (1974).

P.C. Hohenberg and B.I. Halperin, Rev. Mod. Phys. 49, 435 (1970).

K. Kawasaki, in Phase Transitions and Critical Phenomena, edited by C. Domb and M.S. Green (Academic Press, New York, 1989), Vol. 40, p. 165.

A. Onuki, J. Chem. Phys. 85, 1122 (1986).

I. Brovchenko and A. Oleinikova, in Handbook of Theoretical and Computational Nanotechnology, edited by M. Rieth and W. Schommers (Amer. Sci. Publ., Stevenson Ranch, CA, 2006), Chap. 62.

L.A. Bulavin, I.M. Vyshnevskyi, V.F. Chekhun et al., Dopov. Nats. Akad. Nauk Ukr., No. 7, 176 (2004).

Published

2025-01-22

How to Cite

Khrapiichuk, G., Chalyi, O., & Chernenko, L. (2025). Diffusion Coefficient and Barodiffusion Ratio of Mesoscale Fluids in Their Critical Region. Ukrainian Journal of Physics, 55(9), 988. https://doi.org/10.15407/ujpe55.9.988

Issue

Section

Soft matter

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