The van der Waals friction force (dissipative fluctuation electromagnetic force) between metallic plates during their relative motion at temperatures close to 1 K is calculated within the Levin–Polevoi–Rytov fluctuation electromagnetic theory. It is shown that the van der Waals friction force for gold plates with a small number of defects and low residual resistance \({{\rho }_{0}}\) can increase by six to eight orders of magnitude with a decrease in the temperature below 100 K, reaching a maximum value proportional to \({{\rho }_{0}}^{{ - 4/5}}\). For superconducting metals, an increase in friction can be observed when the temperature decreases to the critical transition temperature, after which friction disappears. Another important result is the weak dependence of the friction force on the distance a between the plates (\( \propto {\kern 1pt} {{a}^{{ - q}}}\) with 0 < q < 1). The absolute values of the friction forces are achievable for measurements in experiments using the modern atomic force microscopy technique.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
H. B. G. Casimir, Proc. Kon. Ned. Akad. Wet. B 51, 793 (1948).
E. M. Lifshitz, Sov. Phys. JETP 2, 73 (1956).
Yu. S. Barash, Van der Waals Forces (Nauka, Moscow, 1988) [in Russian].
E. V. Teodorovich, Proc. R. Soc. London, Ser. A 362, 71 (1978).
L. S. Levitov, Eur. Phys. Lett. 8, 499 (1989).
V. G. Polevoi, Sov. Phys. JETP 71, 1119 (1990).
V. E. Mkrtchian, Phys. Lett. A 209, 299 (1995).
J. B. Pendry, J. Phys.: Condens. Matter 9, 10301 (1997).
M. Kardar and R. Golestanian, Rev. Mod. Phys. 71, 1233 (1999).
A. I. Volokitin and B. N. J. Persson, J. Phys.: Condens. Matter 9, 345 (1999).
A. I. Volokitin and B. N. J. Persson, Rev. Mod. Phys. 79, 1291 (2007).
T. G. U. Leonhardt, New. J. Phys. 11, 033035 (2009).
J. B. Pendry, New. J. Phys. 12, 033028 (2010).
G. Barton, J. Phys.: Condens. Matter 23, 335004 (2011).
J. S. Høye, I. Brevik, and K. A. Milton, Eur. Phys. J. D 66, 365004 (2012).
J. S. Høye and I. Brevik, Eur. Phys. J. D 68, 61 (2014).
G. V. Dedkov and A. A. Kyasov, Chin. Phys. 56, 3002 (2018).
G. V. Dedkov and A. A. Kyasov, Phys. Solid State 60, 2349 (2018).
J. S. Høye, I. Brevik, and K. A. Milton, Symmetry 29, 8 (2016).
G. V. Dedkov and A. A. Kyasov, Phys. Usp. 60, 1 (2017).
G. Pieplow and C. Henkel, New J. Phys. 15, 023027 (2013).
G. L. Klimchitskaya and V. M. Mostepanenko, Contemp. Phys. 47, 131 (2006).
J. S. Høye, I. Brevik, and K. A. Milton, J. Phys. A: Math. Gen. 39, 6031 (2006).
K. A. Milton, Y. Li, P. Kalauni, P. Parashar, P. Guerodt, G.-L. Ingold, A. Lambrecht, and S. Reynaud, Fortschr. Phys. 65, 1600047 (2017).
G. Bimonte, T. Emig, M. Kardar, and M. Kruger, Ann. Rev. Condens. Matter Phys. 8, 119 (2017).
V. M. Mostepanenko, Universe 7, 704084 (2021).
M. L. Levin, V. G. Polevoi, and S. M. Rytov, Sov. Phys. JETP 52, 1054 (1980).
Handbook of Physics, Ed. by E. U. Condon and H. Odishaw (McGraw-Hill, New York, 1967).
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 2000).
B. C. Stipe, T. D. Stowe, T. W. Kenny, and D. Rugar, Phys. Rev. Lett. 87, 096801 (2001).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The author declares that he has no conflicts of interest.
Additional information
Translated by G. Dedkov
Rights and permissions
About this article
Cite this article
Dedkov, G.V. Low-Temperature Increase in the Van Der Waals Friction Force with the Relative Motion of Metal Plates. Jetp Lett. 114, 713–718 (2021). https://doi.org/10.1134/S0021364021230053
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364021230053