Room 338, No. 5 Science Building
The Mori–Zwanzig formalism is applied to derive equations for the evolution of linear observables of the Langevin dynamics for both overdamped and general cases. To illustrate the resulting equations and their use in deriving approximate models, some particular benchmark examples are studied both numerically and via a formal asymptotic expansion. The examples considered demonstrates the importance of memory effects and asymptotic estimates in determining the correct temporal behavior of such systems.
This is a joint work with Dr. Thomas Hudson from University of Warwick, UK.