Geodesic
Mode-coupling approximation in a~fractional-power generalization: Particle dynamics in supercooled liquids and glasses
Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 1, pp. 135-149

Voir la notice de l'article provenant de la source Math-Net.Ru

We describe the particle dynamics in supercooled liquids in the mode-coupling approximation in a fractional-power generalization, where the kinetic integro-differential equations are exactly derived from the equations of motion of the dynamical variables by projection operator methods. We show that in the case of separated time scales in the particle dynamics and with the nonlinear interaction between the stochastic and translation motion modes taken into account, the solution of the equations gives a well-defined picture of singularities of the one-particle dynamics of supercooled liquids and glasses. Comparison with the data for the metal alloy { Fe$_{50}$Cr$_{50}$} atomic dynamics simulation demonstrates a good agreement in the entire temperature range corresponding to the supercooled liquid and glass phases.
Keywords: space–time correlation, nonergodicity, mode-coupling approximation, disordered system, projection operator, integro-differential equation.
Mots-clés : vitrification 
@article{TMF_2012_171_1_a11,
     author = {A. V. Mokshin and A. V. Chvanova and R. M. Khusnutdinov},
     title = {Mode-coupling approximation in a~fractional-power generalization: {Particle} dynamics in supercooled liquids and glasses},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {135--149},
     publisher = {mathdoc},
     volume = {171},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2012_171_1_a11/}
}
TY  - JOUR
AU  - A. V. Mokshin
AU  - A. V. Chvanova
AU  - R. M. Khusnutdinov
TI  - Mode-coupling approximation in a~fractional-power generalization: Particle dynamics in supercooled liquids and glasses
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2012
SP  - 135
EP  - 149
VL  - 171
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2012_171_1_a11/
LA  - ru
ID  - TMF_2012_171_1_a11
ER  - 
%0 Journal Article
%A A. V. Mokshin
%A A. V. Chvanova
%A R. M. Khusnutdinov
%T Mode-coupling approximation in a~fractional-power generalization: Particle dynamics in supercooled liquids and glasses
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2012
%P 135-149
%V 171
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2012_171_1_a11/
%G ru
%F TMF_2012_171_1_a11
A. V. Mokshin; A. V. Chvanova; R. M. Khusnutdinov. Mode-coupling approximation in a~fractional-power generalization: Particle dynamics in supercooled liquids and glasses. Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 1, pp. 135-149. http://geodesic.mathdoc.fr/item/TMF_2012_171_1_a11/