| Transition Path Theory (TPT) is a theoretical framework for describing activated processes and rare events in complex systems. It can also be used as a starting point for developing efficient numerical algorithms for analyzing such processes. Here I will review the basic components of TPT and discuss its connections with the Transition-State Theory, Kramers reaction-rate theory as well as Freidlin-Wentzell theory of large deviations. I will also discuss how TPT can be used to design efficient path-finding algorithms, such as the string method or the max-flux method, as well as algorithms for free energy and rate calculations, such as milestoning. Finally, I will discuss how TPT can be used to build Markov State Models to analyze time-series data. |
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