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On the theory of roton‐like excitations in amorphous solids
Author(s) -
Handrich K.,
Resch J.
Publication year - 1989
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.2221520202
Subject(s) - space (punctuation) , reciprocal lattice , roton , function (biology) , orthonormal basis , amorphous solid , mathematics , order (exchange) , range (aeronautics) , mathematical analysis , hierarchy , physics , set (abstract data type) , mathematical physics , quantum mechanics , materials science , chemistry , crystallography , computer science , market economy , finance , evolutionary biology , helium , diffraction , superfluid helium 4 , programming language , economics , composite material , biology , operating system
Abstract A view of g(r) and S(k) suggests an approximately separate treatment of the short‐range order in the direct k ‐space and the “quasi long‐range order” (which follows from a high and sharp peak of the static structure factor) in the k ‐space. The employment of structure functions leads to a widening of the reciprocal k ‐space. With an approximated orthonormal and complete set of functions the Green function is decoupled from the force constants. A set of hierarchy equations follows, which is solved to obtain a structure averaged Green function. With that function the density of states is calculated and the specific heat of an amorphous system.