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Local oscillations in different models of the coherent bcc–hcp boundary in 4 He and metals
Author(s) -
Lykah Victor A.,
Syrkin Eugene S.
Publication year - 2011
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201046304
Subject(s) - boundary value problem , physics , displacement (psychology) , phase boundary , crystal (programming language) , resonance (particle physics) , boundary (topology) , vibration , phase (matter) , order (exchange) , condensed matter physics , atomic physics , single crystal , nuclear magnetic resonance , quantum mechanics , mathematical analysis , psychology , mathematics , finance , computer science , economics , psychotherapist , programming language
Abstract Small local vibrations of the order parameter (the relative displacement of atomic planes) on the coherent phase boundary (PB) in the bcc–hcp 4 He crystal are investigated theoretically. Dynamical differential equations for small values of the perturbations of the order parameter are obtained. On the coherent PB bcc–hcp for double‐ and triple‐well models the shape and the spectrum are found for small local vibrations of the order parameter. Characteristic frequencies are found and estimated. It is shown that the bcc–hcp boundary in the 4 He crystal is a very soft system. This fact may explain the high degree of damping of 3 He excitations in nuclear magnetic resonance (NMR) experiments.