Open AccessCorrelation in Disordered Systems
Author(s) -
G. S. Shaiкhova,
N. Adilbek,
Kabiden AKHMETOV,
Vladimir V. Zhurov,
G. E. Shegebayeva
Publication year - 2020
Publication title -
kompleksnoe ispolʹzovanie mineralʹnogo syrʹâ
Language(s) - English
Resource type - Journals
eISSN - 2616-6445
pISSN - 2224-5243
DOI - 10.31643/2020/6445.13
Subject(s) - autocorrelation , markov process , markov chain , statistical physics , fourier transform , function (biology) , mathematics , variable (mathematics) , dissipation , connection (principal bundle) , mathematical optimization , computer science , mathematical analysis , physics , statistics , geometry , evolutionary biology , biology , thermodynamics
In this paper, authors consider the theoretical aspects of the dynamics of liquid metals and the issues of correlations in disordered systems. The goal is to demonstrate that in choosing variables it is necessary to bring the equation of Markov processes to an approximation in which among the selected variables there are long-range components. However, this choice should include persistent variables. In numerous studies it is shown that selection cannot be made for the initial equation of motion with dynamic variables, and memory function analysis is required. As always, it contains a high-order memory function that can quickly decrease, and finally it can be again converted by the Markov process. Ways of simplifying the equation of Markov processes are given. In this work, authors derive the connection between the Fourier transform of the autocorrelation function and the imaginary part of the dynamic susceptibility and the result of the fluctuation-dissipation theorem.