Abstract
The time evolution of the water–disordered nanoporous medium Libersorb 23 (L23) system has been studied after complete filling at elevated pressure followed by full release of overpressure. It is established that relaxation of the L23 rapidly flows out during the overpressure relief time, following the variation in pressure. At a temperature below that of the dispersion transition (T < T d = 284 K), e.g., at T = 277 K, the degree of filling θ decreases from 1 to 0.8 within 10 s. The degree of filling varies with time according to the power law θ ~ t –α with the exponent α < 0.1 over a period of t ~ 105 s. This process corresponds to slow relaxation of a metastable state of a nonwetting liquid in a porous medium. At times t > 105 s, the metastable state exhibits decay, manifested as the transition to a power dependence of θ(t) with a larger exponent. The relaxation of the metastable state of nonwetting liquid in a disordered porous medium is described in the mean field approximation as a continuous sequence of metastable states with a barrier decreasing upon a decrease in the degree of filling. Using this approach, it is possible to qualitatively explain the observed relaxation process and crossover transition to the stage described by θ(t) with a larger exponent.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
J. S. Langer, Rep. Prog. Phys. 77, 042501 (2014).
G. Biroli and J. Garrahan, J. Chem. Phys. 138, 12A301 (2013).
F. H. Stillinger and P. G. Debenedetti, Annu. Rev. Condens. Matter Phys. 4, 263 (2013).
J. S. Langer, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 85 (5), 051507 (2012).
L. Berthier and G. Biroli, Rev. Mod. Phys. 83 (2), 587 (2011).
H. Tanaka, Eur. Phys. J. E: Soft Matter Biol. Phys. 35, 113 (2012).
H. Tanaka, N. Takeshi, H. Shintani, and K. Watanabe, Nat. Mater. 9, 324 (2010).
W. Kob, S. Roldan-Vagras, and L. Berthier, Nat. Phys. 8, 164 (2012).
J. S. Langer, arXiv:1501.07228v1 [cod-mat.mtrl-sci].
W. Gotze, Complex Dynamics of Glass-Forming Liquids: A Mode Coupling Theory (Oxford University Press, Oxford, 2008).
G. Biroli and J. P. Bouchaud, in Structural Glasses and Supercooled Liquids: Theory, Experiment, and Applications, Ed. by P. G. Wolynes and V. Lubchenko (Wiley, New York, 2012).
J. C. Phillips, Rep. Prog. Phys. 59, 1133 (1996).
E. Bouchbinder and J. S. Langer, Phys. Rev. Lett. 106 (14), 148301 (2011)
E. Bouchbinder and J. S. Langer, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 83 (6), 061503 (2011).
A. Gavagna, N. S. Grigera, and P. Verrocchio, Phys. Rev. Lett. 98 (18), 187801 (2007).
A. Ayadin, Ph. Germain, and S. Amokrane, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 84 (6), 061502 (2011).
M. Mosayebi, E. Del Gado, P. Ilg, and H. C. Ottinger, Phys. Rev. Lett. 104, 205704 (2010).
J. S. Langer, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 88, 012122 (2013).
C. P. Royall, S. R. Williams, and H. Tanaka, arXiv:1409.5469v1 [cod-mat.mtrl-sci].
A. M. Luo and M. Ch. Ottinger, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 89, 022137 (2014).
V. Lubchenko and P. G. Wolynes, Annu. Rev. Phys. Chem. 58, 235 (2007).
Dynamical Heterogeneities in Glasses, Colloids, and Granular Media, Ed. by L. Berthier, G. Biroli, J.-P. Bouchaud, L. Cipelletti, and W. van Saarloos (Oxford University Press, Oxford, 2011).
M. Vasin, J. Stat. Mech. Theory Exp. 5, 05009 (2011).
V. S. Dotsenko, Phys.—Usp. 36 (6), 455 (1993).
V. D. Borman, A. A. Belogorlov, V. A. Byrkin, V. N. Tronin, and V. I. Troyan, JETP Lett. 95 (10), 511 (2012).
V. D. Borman, A. A. Belogorlov, V. A. Byrkin, V. N. Tronin, and V. I. Troyan, J. Exp. Theor. Phys. 117 (6), 1139 (2013).
V. D. Borman, A. A. Belogorlov, F. M. Grekhov, and V. N. Tronin, Phys. Lett. A 378, 2888 (2014).
J. Russo and H. Tanaka, arXiv:1502.058v1 [cod-mat. mtrl-sci].
T. Kawasaki and H. Tanaka, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 89, 062315 (2014).
Y. Kumzerov, A. Nabereznov, S. Vakhrushev, and B. N. Savenko, Phys. Rev. B: Condens. Matter 52 (7), 4772 (1995).
J. R. Edison and P. A. Monson, J. Low Temp. Phys. 157, 395 (2009).
F. Porcheron, M. Thommes, R. Ahmad, and P. A. Monson, Langmuir 23 (6), 3372 (2007).
V. D. Borman, F. M. Grekhov, and V. I. Troyan, J. Exp. Theor. Phys. 91 (1), 170 (2000).
F. Porcheron, M. Thommes, R. Ahmad, and P. A. Monson, Langmuir 23 (6), 3372 (2007).
A. Nan, X. Kong, and Y. Qiao, J. Appl. Phys. 100, 014308 (2006).
Y. Qiao, G. Gao, and X. Chen, J. Am. Chem. Soc. 129, 2355 (2007).
X. Kong and Y. Qiao, Appl. Phys. Lett. 86, 151919 (2004).
F. V. Surani and Y. Qiao, J. Appl. Phys. 100, 034311 (2004).
B. Xu, Y. Qiao, Y. Li, Q. Zhou, and X. Chen, Appl. Phys. Lett. 98, 221909 (2011).
A. Han, W. Lu, V. K. Punyamurtula, T. Kim, and Y. Qiao, J. Appl. Phys. 105, 024309 (2009).
V. Eroshenko, R.-C. Regis, Al. Soulard, and J. Patarin, C. R. Phys. 3, 111 (2002).
A. Han, W. Lu, T. Kim, X. Chen, and Y. Qiao, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 78, 031408 (2008).
L. Liu, X. Chen, W. Lu, A. Han, and Y. Qiao, Phys. Rev. Lett. 102, 184501 (2009).
L. Coiffard and A. L. Eroshonko, J. Colloid Interface Sci. 300, 304 (2006).
V. D. Borman, A. A. Belogorlov, G. V. Lisichkin, V. I. Troyan, and V. N. Tronin, J. Exp. Theor. Phys. 108 (3), 389 (2009).
A. A. Abrikosov, JETP Lett. 29 (1), 65 (1979).
S. P. Rigby and K. J. Edler, J. Colloid Interface Sci. 250, 175 (2002).
V. D. Borman, A. A. Belogorlov, A. M. Grekhov, and V. N. Tronin, Int. J. Mod. Phys. B 29 (15), 1550097 (2015). doi: 10.1142/S0217979215500976
F. Gomez, R. Donoyol, and J. Rouquerol, Langmuir 16 (9), 4374 (2000).
V. Lefevre, A. Saugey, J. L. Barrat, L. Bocquet, E. Charlaix, P. F. Gobin, and G. Vigier, Colloids Surf., A 241, 265 (2004).
E. Mamontov, Y. Kumzerov, and S. Vakhrushev, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 71, 061502 (2005).
V. D. Borman, A. A. Belogorlov, F. M. Grekhov, G. V. Lisichkin, V. N. Tronin, and V. I. Troyan, J. Exp. Theor. Phys. 100 (2), 385 (2005).
X. Komg and Y. Qiao, Philos. Mag. Lett. 85 (7), 331 (2004).
F. Porcheron, R. A. Monison, and M. Thommes, Langmuir 20 (15), 6482 (2004).
M. Sashimi, Rev. Mod. Phys. 65, 1393 (1993)
M. L. Isichenko, Rev. Mod. Phys. 64, 961 (1992).
Porous Media: Applications in Biological Systems and Biotechnology, Ed. by K. Vafai (CRC Press, Boca Raton, Florida, United States, 2011).
S. Lowell, J. Shields, M. A. Thomas, and M. Thommes, Characterization of Porous Solids and Powders: Surface Area, Pore Size, and Density (Kluwer, Dordrecht, The Netherlands, 2004).
V. D. Borman, A. A. Belogorlov, V. A. Byrkin, G. V. Lisichkin, V. N. Tronin, and V. I. Troyan, J. Exp. Theor. Phys. 112 (3), 385 (2011).
J. A. Casselman, A. Desouza, and P. A. Monson, Mol. Phys. 113, 1250 (2015).
H.-J. Woo and P. A. Monson, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 67, 041207 (2003).
E. Kieolik, P. A. Monson, M. L. Rosinberg, S. Sarkisov, and G. Tarjus, Phys. Rev. Lett. 87, 055701 (2011)
H.-J. Woo, L. Sarkisov, and P. A. Monson, Langmuir 17 (24), 7472 (2001)
M. Tommes, J. Morell, K. A. Cychosz, and M. Fröba, Langmuir 29 (48), 14893 (2013).
R. Valiulin, S. Naumov, P. Galvosas, J. Kärger, H.-J. Woo, F. Porcheron, and P. A. Monson, Nature 443 (7114), 965 (2006).
V. D. Borman, A. A. Belogorlov, V. A. Byrkin, and V. N. Tronin, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 88, 052116 (2013).
A. Y. Fadeev and V. A. Eroshenko, J. Colloid Interface Sci. 187, 275 (1997).
G. V. Lisichkin, Chemistry of Grafted Surface Compounds (Nauka, Moscow, 2003) [in Russian].
S. Lowell, J. E. Shields, M. A. Thomas, and M. Thommes, Characterization of Porous Solids and Powders: Surface Area, Pore Size and Density (Springer-Verlag, New York, 2006).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Volume 1: Mechanics (Butterworth–Heinemann, Oxford, 2000; Nauka, Moscow, 2010).
Yu. Qiao, Yu. Punyamurtula, Venkata K. Xian, Guijun Karbhari, M. Vistasp, and Han Aijie, Appl. Phys. Lett. 92, 063109 (2008).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Volume 6: Fluid Mechanics (Butterworth–Heinemann, Oxford, 2000; Nauka, Moscow, 2010).
V. D. Borman, A. A. Belogorlov, V. A. Byrkin, V. N. Tronin, and V. I. Troyan, arXiv:1302.5547.
L. Kheifets and A. Neimark, Multiphase Processes in Porous Media (Khimiya, Moscow, 1982) [in Russian].
Handbook of Chemistry and Physics: A Ready-Reference Book of Chemical and Physical Data, Ed. by W. M. Haynes, D. R. Lide, and T. J. Bruno, 93rd ed. (CRC Press, Boca Raton, Florida, United States, 2012).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.D. Borman, A.A. Belogorlov, V.M. Zhuromskii, V.N. Tronin, 2015, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2015, Vol. 148, No. 6, pp. 1169–1185.
Rights and permissions
About this article
Cite this article
Borman, V.D., Belogorlov, A.A., Zhuromskii, V.M. et al. Anomalously slow relaxation of a nonwetting liquid in the disordered confinement of a nanoporous medium. J. Exp. Theor. Phys. 121, 1027–1041 (2015). https://doi.org/10.1134/S1063776115120043
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776115120043