Selfconsistent approach to the description of relaxation processes in classical multiparticle systems
Abstract
The concept of time correlation functions is a very convenient theoretical tool in describing relaxation processes in multiparticle systems because, on one hand, correlation functions are directly related to experimentally measured quantities (for example, intensities in spectroscopic studies and kinetic coefficients via the KuboGreen relation) and, on the other hand, the concept is also applicable beyond the equilibrium case. We show that the formalism of memory functions and the method of recurrence relations allow formulating a selfconsistent approach for describing relaxation processes in classical multiparticle systems without needing a priori approximations of time correlation functions by model dependences and with the satisfaction of sum rules and other physical conditions guaranteed. We also demonstrate that the approach can be used to treat the simplest relaxation scenarios and to develop microscopic theories of transport phenomena in liquids, the propagation of density fluctuations in equilibrium simple liquids, and structure relaxation in supercooled liquids. This approach generalizes the modecoupling approximation in the GötzeLeutheusser realization and the YulmetyevShurygin correlation approximations.
 Publication:

Theoretical and Mathematical Physics
 Pub Date:
 April 2015
 DOI:
 10.1007/s1123201502742
 arXiv:
 arXiv:1909.01443
 Bibcode:
 2015TMP...183..449M
 Keywords:

 relaxation process;
 spatialtime correlation;
 selfconsistent description;
 modecoupling approximation;
 disordered system;
 projection operator;
 integrodifferential equation;
 recurrence relation;
 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Disordered Systems and Neural Networks;
 Condensed Matter  Materials Science;
 Physics  Chemical Physics;
 Physics  Classical Physics
 EPrint:
 38 pages, 4 figures