On metastability and Markov state models for non-stationary molecular dynamics
Koltai, Peter ;  Ciccotti, Giovanni ;  Schuette, Christof

HaupttitelOn metastability and Markov state models for non-stationary molecular dynamics
AutorKoltai, Peter
AutorCiccotti, Giovanni
AutorSchuette, Christof
Seitenzahl14 S.
DDC500 Naturwissenschaften und Mathematik
Auch erschienen inJournal of Chemical Physics. - 145 (2016), 17, Artike Nr. 174704
ZusammenfassungUnlike for systems in equilibrium, a straightforward definition of a metastable set in the non-stationary, non-equilibrium case may only be given case-by-caseā€”and therefore it is not directly useful any more, in particular in cases where the slowest relaxation time scales are comparable to the time scales at which the external field driving the system varies. We generalize the concept of metastability by relying on the theory of coherent sets. A pair of sets A and B is called coherent with respect to the time interval [t1, t2] if (a) most of the trajectories starting in A at t1 end up in B at t2 and (b) most of the trajectories arriving in B at t2 actually started from A at t1. Based on this definition, we can show how to compute coherent sets and then derive finite-time non-stationary Markov state models. We illustrate this concept and its main differences to equilibrium Markov state modeling on simple, one-dimensional examples.
PDF-Datei von FUDOCS_document_000000026234
Falls Ihr Browser eine Datei nicht öffnen kann, die Datei zuerst herunterladen und dann öffnen.
Fachbereich/EinrichtungFB Mathematik und Informatik
Dokumententyp/-SammlungenWissenschaftlicher Artikel
RechteCopyright des Verlags
Erstellt am01.02.2017 - 10:46:14
Letzte Änderung01.02.2017 - 10:56:28
Statische URLhttp://edocs.fu-berlin.de/docs/receive/FUDOCS_document_000000026234