Research PapersNo Access

The self-consistent model of the anomalously slow relaxation of the systems nonwetting liquid–nanoporous medium

Department of Molecular Physics, National Research Nuclear University “MEPhI”, Kashirskoye shosse 31, Moscow 115409, Russia

Search for more papers by this author

Nikolay Andreevich Borodulya

Department of Molecular Physics, National Research Nuclear University “MEPhI”, Kashirskoye shosse 31, Moscow 115409, Russia

E-mail Address: borodulyanikolay@gmail.com

Corresponding author.

Search for more papers by this author

Anton Anatolevich Belogorlov

Department of Molecular Physics, National Research Nuclear University “MEPhI”, Kashirskoye shosse 31, Moscow 115409, Russia

Search for more papers by this author

, and

Vladimir Nikolaevich Tronin

Department of Molecular Physics, National Research Nuclear University “MEPhI”, Kashirskoye shosse 31, Moscow 115409, Russia

Search for more papers by this author

https://doi.org/10.1142/S0217979217502010Cited by:0 (Source: Crossref)

Abstract

This paper provides information on a self-consistent model of an anomalously slow relaxation of nonwetting liquid–nanoporous medium systems with a random size distribution of pores, which introduces changes in interaction between local liquid cluster configurations in the process of liquid outflow from the porous medium. A self-consistent equation was deduced, the solution of which determines a functional connection of porous medium filling degree or time $θ (t)$ $𝜃 (t)$ . It is shown that the anomalously slow relaxation is presented as a process of decay of interacting local metastable configurations, initialized by thermal fluctuations. As time increments, relaxation acceleration takes place with subsequent avalanche fluid outflow from the porous medium, which is connected with interaction decrease between local configurations. The dependence of the fraction of volume of liquid remaining in a porous medium changes by the power law $θ (t) \sim t^{- α (T, t)}$ $𝜃 (t) \sim t^{- α (T, t)}$ . It is shown that for a system of water–L23 at the initial stage in the time range of $10 s < t < 10^{3} s$ $10 s < t < 10^{3} s$ , an index assumes a constant value $α \approx const (T)$ $α \approx const (T)$ , while at the following stage the acceleration of relaxation and the increase of parameter $α (T, t)$ $α (T, t)$ are observed.

Keywords:

PACS: 68.08.Bc, 68.08.De, 81.10.Dn

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

1. V. D. Borman, V. N. Tronin and V. I. Troyan, Physical Kinetics of Atomic Processes in Nanostructures, Part 1, Chap. 5 (Moscow Engineering Physics Institute, Moscow, 2011). Google Scholar
2. J. R. Edison and P. A. Monson, J. Chem. Phys. 138, 234709 (2013). Web of Science, ADS, Google Scholar
3. J. S. Langer, Rep. Prog. Phys. 77, 042501 (2014). Web of Science, Google Scholar
4. J. S. Langer, Phys. Rev. E 92, 012318 (2015). Web of Science, ADS, Google Scholar
5. L. D. Gelb and K. E. Gubbins, Langmuir 14(8), 2097 (1998). Web of Science, Google Scholar
6. H.-J. Woo, L. Sarkisov and P. A. Monson, Langmuir 17, 7472 (2001). Web of Science, Google Scholar
7. L. Berthier and G. Biroli, Rev. Mod. Phys. 83(2), 587 (2011). Web of Science, ADS, Google Scholar
8. V. D. Borman et al., J. Exp. Theor. Phys. 144(6), 1290 (2013). Google Scholar
9. G. Biroli and J. Garrahan, J. Chem. Phys. 138, 12A301 (2013). Web of Science, Google Scholar
10. J. C. Phillips, Rep. Prog. Phys. 59, 1133 (1996). Web of Science, ADS, Google Scholar
11. F. H. Stillinger and P. G. Debenedetti, Ann. Rev. Condens. Matter Phys. 4(1), 263 (2013). Web of Science, ADS, Google Scholar
12. V. Lubchenko and P. G. Wolynes, Ann. Rev. Phys. Chem. 58, 235 (2007). Web of Science, ADS, Google Scholar
13. H. Tanaka, Eur. Phys. J. E 35, 113 (2012). Web of Science, Google Scholar
14. L. Berthier et al., Dynamical Heterogeneities in Glasses, Colloids, and Granular Media (Oxford University Press, Oxford, 2011), pp. 1–464. Google Scholar
15. M. Mosayebi et al., Phys. Rev. Lett. 104, 205704 (2010). Web of Science, ADS, Google Scholar
16. C. P. Royall, S. R. Williams and H. Tanaka, arXiv:1409.5469. Google Scholar
17. J. Russo and H. Tanaka, Proc. Natl. Acad. Sci. 112, 6920 (2015). Web of Science, ADS, Google Scholar
18. H. Tanaka et al., Nat. Mater. 9, 324 (2010). Web of Science, ADS, Google Scholar
19. V. D. Borman, V. N. Tronin and V. A. Byrkin, Phys. Lett. A 380, 1615 (2016). Web of Science, ADS, Google Scholar
20. V. D. Borman, A. A. Belogorlov and V. N. Tronin, Phys. Rev. E 93, 022142 (2016). Web of Science, ADS, Google Scholar
21. T. Kawasaki and H. Tanaka, Phys. Rev. E 89, 062315 (2014). Web of Science, ADS, Google Scholar
22. M. J. Aschwanden, Self-Organized Criticality Systems (Open Academic Press, GmbH Co, Berlin, Warsaw, 2013). Google Scholar
23. M. J. Aschwanden et al., Space Sci. Rev. 198, 47 (2016). Web of Science, ADS, Google Scholar
24. L. P. Kadanoff, Phys. Today 44, 9 (1991). Web of Science, Google Scholar
25. V. D. Borman et al., Eur. Phys. J. B 87, 249 (2014). Web of Science, ADS, Google Scholar
26. V. D. Borman et al., J. Exp. Theor. Phys. 135(3), 446 (2009). Google Scholar
27. W. M. Haynes, D. R. Lide and T. J. Bruno, Handbook of Chemistry and Physics: A Ready Reference Book of Chemistry and Physical Data (CRC, Boca Raton, 2012). Google Scholar
28. V. D. Borman et al., J. Exp. Theor. Phys. 112(3), 385 (2011). Web of Science, ADS, Google Scholar
29. M. Isichenko, Rev. Mod. Phys. 64, 961 (1992). Web of Science, ADS, Google Scholar
30. V. A. Byrkin, Phys. Proc. 72, 14 (2015). ADS, Google Scholar
31. V. D. Borman et al., arXiv:1302.5547. Google Scholar
32. L. D. Landau and E. M. Lifshitz, Statistical Physics, Part 1: Course of Theoretical Physics, Vol. 5 (Pergamon, New York, 1980). Google Scholar
33. M. Sahimi, Rev. Mod. Phys. 65, 1393 (1993). Web of Science, ADS, Google Scholar