A Theory of Phonons in Amorphous Solids and Its Implications to Collective Motion in Simple Liquids

Lattice Dynamics of Metallic Glass Ca70Mg30on the Model of Bhatia and Singh

“…In recent past there has been an extensive interest in the experimental [1, 2] and theoretical [3][4][5][6][7][8] studies of lattice dynamics of metallic glasses. As concerns experiment, the dynamical structure factor, S(q, w), usually predicts the longitudinal phonons dispersion relation.…”

“…On the other hand, the theoretical studies predict both the longitudinal and transversal phonons. Out of all the models of metallic glasses developed so far, three of them, namely that of Takeno and Goda [6], Hubbard and Beeby [7] and that of Bhatia and Singh [8] are based on similar grounds i.e. quasicrystalline picture or on liquid-like collective behavior.…”

“…quasicrystalline picture or on liquid-like collective behavior. While the models of Hubbard and Beeby [7] and that of Takeno and Goda [6] are quite general and are based on long-range interatomic interactions, the model of Bhatia and Singh [8] considers the interatomic interaction effective between first nearest neighbours.…”

Phonon Dispersion in Amorphous Ni-Alloys

“…And only recently there has been an explosion of interest to these studies as more promising materials are produced in the amorphous form. The range of applications of metallic glasses is vast and extends from the common window glass to high capacity storage media for digital devices [1][2][3][4][5][6][7][8].…”

“…Another four metallic glasses such as Ni 33 Y 67 , Ni 36 Zr 64 , Ni 50 Zr 50 , and Ni 60 Nb 40 are the members of transition metallic (TM-TM) glasses. The phonon dynamics of Ni 33 Y 67 glass was studied by Arun Pratap et al [1], by Hubbard-Beeby (HB) [3], and Takeno-Goda (TG) [4] approaches. The vibrational dynamics of Ni 50 Zr 50 glass has been studied by Gupta et al [2] using…”