Equations for small oscillations of a dislocation lattice are formulated in a simple one-component model. The lattice is formed by a periodic system of parallel rectilinear screw dislocations. Long-wavelength collective vibrations are described, among which are found vibrations similar to plasma oscillations in a system of electric charges. The possibility of a gap appearing in the frequency spectrum near the analog of the plasma frequency is pointed out.

1.
G.
Blatter
,
M. V.
Feigel’man
,
V. B.
Geshkenbein
,
A. I.
Larkin
, and
V. M.
Vinokur
,
Rev. Mod. Phys.
66
,
1125
(
1994
).
2.
E. H.
Brandt
,
Rep. Prog. Phys.
58
,
1465
(
1995
).
3.
A. M. Kosevich, Dislocations in the Theory of Elasticity [in Russian], Naukova Dumka, Kiev (1978); A. M. Kosevich, “Crystal dislocations and the theory of elasticity,” in Dislocations in Solids, F. R. N. Nabarro (ed.), Vol. 1, North-Holland, Amsterdam, (1979), p. 31.
4.
A. M.
Kosevich
and
M. L.
Polyakov
, Fiz. Tverd. Tela (Leningrad) 21, 2941 (1979) [
Sov. Phys. Solid State
21
,
1694
(
1979
)].
5.
V. V.
Nikoalaev
,
A. N.
Orlov
, and
G. G.
Taluts
,
Fiz. Met. Metalloved.
23
,
424
(
1967
).
6.
A. M. Kosevich, Theory of the Crystal Lattice (Physical Mechanics of Solids) [in Russian], Vishcha Shkola, Kharkov (1988); A. M. Kossevich, The Crystal Lattice. Phonons, Solitons, Dislocations, Wiley-VCH, Berlin (1999).
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