Abstract
The general expression for the static permittivity ε(q, 0) of the Coulomb system in the region of small wave vectors was derived based on exact limit relations. The relation obtained describes the function ε(q, 0) in both “metal” and “dielectric” states of the Coulomb system. On this basis, the concept of the “true” dielectric is introduced and the definition of the “true” screening length was discussed. Exact relations were derived for the function ε(q, 0) in the region of small wave vectors q within the random phase approximation at an arbitrary degeneracy.
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References
A. A. Rukhadze and V. P. Silin, Electromagnetic Properties of Plasma and Plasma-Like Media (Gosatomizdat, Moscow, 1961) [in Russian].
A. A. Abrikosov, L. P. Gor’kov, and I. I. Dzyaloshinskii, Quantum Field Theory Methods in Statistical Physics (GIFML, Moscow, 1962) [in Russian].
W.-D. Kraeft, D. Kremp, W. Ebeling, and G. Roepke, Quantum Statistics of Charged Particle Systems (Plenum Press, New York, 1986; Mir, Moscow, 1988).
V. B. Bobrov, N. I. Klyuchnikov, and S. A. Triger, Teor. Mat. Fiz. 89, 263 (1991) [Theor. Math. Phys. 89, 1198 (1991)].
V. B. Bobrov, N. I. Klyuchnikov, and S. A. Trigger, Physica A 181, 150 (1992).
E. S. Fradkin, Trudy FIAN 29, 7 (1965).
D. Pines and P. Nozieres, The Theory of Quantum Liquids (Benjamin, New York, 1966; Mir, Moscow, 1967).
N. H. March and M. Parinello, Collective Effects in Solids and Liquids (Adam Hilger, Bristol, 1982; Mir, Moscow, 1986).
L. D. Landau and E. M. Lifshitz, Statistical Physics, Part 1 (Nauka, Moscow, 1976; Pergamon, Oxford,1980).
V.A. Alekseev, E. G. Maksimov, I.G. Ponomarev, and D. I. Khomskii, Usp. Fiz. Nauk 112, 173 (1974).
A. A. Likal’ter, Usp. Fiz. Nauk 170, 831 (2000).
V. E. Fortov and I. T. Yakubov, Nonideal Plasma (Energoatomizdat, Moscow, 1994) [in Russian].
A. N. Starostin, V. C. Roerich, and R.M. More, Contrib. Plasma Phys. 43, 369 (2003).
A. N. Starostin and V. K. Roerich, Zh. Eksp. Teor. Fiz. 127, 186 (2005) [J. Exp. Theor. Phys. 100, 165 (2005)].
N. P. Kovalenko, Yu. P. Krasnyi, and S. A. Triger, Statistical Theory of Liquid Metals (Nauka, Moscow, 1990) [in Russian].
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Original Russian Text © V.B. Bobrov, S.A. Triger, 2010, published in Kratkie Soobshcheniya po Fizike, 2010, Vol. 37, No. 2, pp. 9–15.
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Bobrov, V.B., Triger, S.A. On the static permittivity of the Coulomb system in the long-wavelength limit. Bull. Lebedev Phys. Inst. 37, 35–39 (2010). https://doi.org/10.3103/S1068335610020028
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DOI: https://doi.org/10.3103/S1068335610020028