Correlation function (statistical mechanics): Difference between revisions

Revision as of 01:50, 14 November 2024

Revision as of 16:31, 19 November 2024

Line 41:

| pages = 67–102

| doi = 10.1146/annurev.pc.16.100165.000435

}}</ref> are closely related to time correlation functions through the [[Fourier transform]]; and the [[Green-Kubo]] relations,<ref name= Zwangzig>{{cite book |first=Robert |last= Zwanzig |title = Nonequilibrium Statistical Mechanics |year= 2001 |isbn=978-0195140187}}</ref> used to calculate relaxation and dissipation processes in a system, are expressed in terms of equilibrium fluctuations time correlation functions. The time correlation function of two observable <math>A</math> and <math>B</math> is defined as,<ref name= Nitzen>{{cite book |first=Abraham |last= Nitzen |title=Chemical Dynamics in Condensed Phases: Relaxation, Transfer, and Reactions in Condensed Molecular Systems |year= 2014 |isbn=978-0199686681

}}</ref>

<math display="block">C_{AB} (t_1, t_2) = \langle A(t_1) B(t_2) \rangle</math>