Application of the Recurrence Relations Method to a many-body model for the study of irreversibility and ergodicity
Abstract
In the context of linear response theory, by means of the Recurrence
Relations Method, (RRM), we find exact solutions for the relaxation
function and the memory function of an harmonic oscillator chain in
thermal equilibrium with one end fixed. We study the analytical
properties of these solutions and show that they can exhibit
reversible-non-ergodic, irreversible-non-ergodic, and
irreversible-ergodic behaviors.
URI
http://purl.galileo.usg.edu/uga_etd/pestana-marino_eduardo_201105_phdhttp://hdl.handle.net/10724/27268