Abstract
The screening of an electric field in water has been studied taking into account correlations between protons, which are described by the ice rules. It is shown that the problem has two characteristic screening lengths l1 ≪ l2, which are determined by majority and minority charge carriers in water. The commonly accepted static dielectric constant of water about 83 at room temperature is applicable only in the distance range l1 ≪ x ≪ l2. At smaller distances, the dielectric constant is determined by the high-frequency dielectric constant and is ϵ∞ ≈ 3.2, whereas the dielectric constant at large distances tends to infinity, which corresponds to the complete screening of the electric field. The screening lengths have been numerically determined, their temperature dependences have been described, and an experiment has been proposed to test the results obtained.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. L. Aragones, L. G. MacDowell, and C. Vega, J. Phys. Chem. A 115, 5745 (2011).
P. Debye and E. Huckel, Phys. Z. 24, 185 (1923).
A. Yu. Grosberg, T. T. Nguen, and B. I. Shklovskii, Rev. Mod. Phys. 74, 329 (2002).
M. V. Fedorov and A. A. Kornyshev, Chem. Rev. 114, 2978 (2014).
G. Malenkov, J. Phys.: Condens. Matter 21, 283101 (2009).
S. Meng, L. F. Greenlee, Y. R. Shen, and E. Wang, Nano Res. 8, 3085 (2015).
C. J. T. Grotthuss, Ann. Chim. 58, 54 (1806).
V. F. Petrenko and R. W. Whitworth, Physics of Ice (Oxford Univ. Press, New York, USA, 1999).
S. Cukierman, Biochim. Biophys. Acta 1757, 876 (2006).
D. Marx, Chem. Phys. Chem. 7, 1848 (2006).
C. Jaccard, Phys. Kondens. Materie 3, 99 (1964).
M. Hubmann, Z. Phys. B 32, 127 (1979).
J. D. Bernal and R. H. Fowler, J. Chem. Phys. 1, 515 (1933).
H. Granicher, Z. Kristallogr. 110, 432 (1958).
Ya. I. Frenkel’, Kinetic Theory of Liquids (Oxford Univ., London, 1946; Nauka, Leningrad, 1975).
F. Sedlmeier, J. Janecek, C. Sendner, and L. Bocquet, Biointerphases 3, 23 (2008).
J. Kofinger, G. Hummer, and C. Dellago, Proc. Natl. Acad. Sci. 105, 13218 (2008).
S. Strazdaite, J. Versluis, E. H. G. Backus, and H. J. Bakker, J. Chem. Phys. 140, 054701 (2014).
G. Algara-Siller, O. Lehtinen, F. C. Wang, R. R. Nair, U. Kaiser, H. A. Wu, I. V. Grigorieva, and A. K. Geim, Nature (London, U.K.) 519, 443 (2015).
M. I. Ryzhkin, A. V. Klyuev, V. V. Sinitsyn, and I. A. Ryzhkin, JETP Lett. 104, 248 (2016).
C. Haas, Phys. Lett. 3, 126 (1962).
L. Onsager and L. K. Runnels, J. Chem. Phys. 50, 1089 (1969).
O. Ya. Samoilov, Structure of Aqueous Electrolyte Solutions and the Hydration of Ions (Consultant Bureau, New York, 1965).
A. V. Klyuev, I. A. Ryzhkin, and M. I. Ryzhkin, JETP Lett. 100, 604 (2014).
V. G. Artemov and A. A. Volkov, Ferroelectrics 466, 158 (2014).
V. G. Artemov, I. A. Ryzhkin, and V. V. Sinitsyn, JETP Lett. 102, 41 (2015).
I. A. Ryzhkin and R. W. Whitworth, J. Phys. C 9, 395 (1997).
L. Fumagalli, A. Esfandiar, R. Fabregas, S. Hu, P. Ares, A. Janardanan, Q. Yang, R. Radha, T. Taniguchi, W. Watanabe, G. Gomila, K. S. Novoselov, and A. K. Geim, Science (Washington, DC, U. S.) 360, 139 (2018).
Funding
This work was supported by the Russian Foundation for Basic Research (project no. 17-02-00512).
Author information
Authors and Affiliations
Corresponding author
Additional information
Russian Text © The Author(s), 2019, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2019, Vol. 110, No. 2, pp. 112–117.
Rights and permissions
About this article
Cite this article
Ryzhkin, M.I., Ryzhkin, I.A. & Klyuev, A.V. Screening of an Electric Field in Water. Jetp Lett. 110, 127–132 (2019). https://doi.org/10.1134/S0021364019140108
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364019140108