Back to Search Start Over

Exact exponential function solution of the generalized Langevin equation for autocorrelation functions of many-body systems.

Authors :
Barocchi F
Bafile U
Sampoli M
Source :
Physical review. E, Statistical, nonlinear, and soft matter physics [Phys Rev E Stat Nonlin Soft Matter Phys] 2012 Feb; Vol. 85 (2 Pt 1), pp. 022102. Date of Electronic Publication: 2012 Feb 17.
Publication Year :
2012

Abstract

We show that an exact solution of the generalized Langevin equation (GLE) for the autocorrelations of a many-body classical system can be given in an exponential functionality (EF) form. As a consequence, the power spectrum of the correlation has a Lorentzian functionality, i.e., is represented by an infinite sum of Lorentzian functions corresponding to the eigenmodes of the considered correlation. By means of the simple derivation of the GLE by M. H. Lee [Phys. Rev. B 26, 2547 (1982)], we also show that, in practical cases of interest to experimental spectroscopies, possible approximations of the EF are related to a reduction of the relevant dynamical variables via a restriction of the dimensions of the orthogonalized space onto which the dynamics of the system is projected.<br /> (© 2012 American Physical Society)

Details

Language :
English
ISSN :
1550-2376
Volume :
85
Issue :
2 Pt 1
Database :
MEDLINE
Journal :
Physical review. E, Statistical, nonlinear, and soft matter physics
Publication Type :
Academic Journal
Accession number :
22463264
Full Text :
https://doi.org/10.1103/PhysRevE.85.022102