Coulomb crystals in the harmonic lattice approximation
- Ioffe Physical-Technical Institute, 194021 St. Petersburg, Russia (Russian Federation)
- Lawrence Livermore National Laboratory, Livermore, California 94550 (United States)
- Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
The dynamic structure factor S(tilde sign)(k,{omega}) and the two-particle distribution function g(r,t) of ions in a Coulomb crystal are obtained in a closed analytic form using the harmonic lattice (HL) approximation which takes into account all processes of multiphonon excitation and absorption. The static radial two-particle distribution function g(r) is calculated for classical (T(greater-or-similar sign)({Dirac_h}/2{pi}){omega}{sub p}, where {omega}{sub p} is the ion plasma frequency) and quantum (T<<((Planck constant)/2{pi}){omega}{sub p}) body-centered-cubic (bcc) crystals. The results for the classical crystal are in a very good agreement with extensive Monte Carlo (MC) calculations at 1.5(less-or-similar sign)r/a(less-or-similar sign)7, where a is the ion-sphere radius. The HL Coulomb energy is calculated for classical and quantum bcc and face-centered-cubic crystals, and anharmonic corrections are discussed. The inelastic part of the HL static structure factor S{sup ''}(k), averaged over orientations of wave vector k, is shown to contain pronounced singularities at Bragg diffraction positions. The HL method can serve as a useful tool complementary to MC and other numerical methods. (c) 2000 The American Physical Society.
- OSTI ID:
- 20215471
- Journal Information:
- Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 61, Issue 2; Other Information: PBD: Feb 2000; ISSN 1063-651X
- Country of Publication:
- United States
- Language:
- English
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