Introduction to the Kinetic Monte Carlo Method

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On the Approximation Quality of Markov State Models (2010, background): “Recently the interest in MSMs has drastically increased since it has been demonstrated that MSMs can be constructed even for very high-dimensional systems [2] and have been especially useful for modeling the interesting slow dynamics of biomolecules [5, 6, 7, 8, 9, 10] and materials [11] (there unde”
An overview of spatial microscopic and accelerated kinetic Monte Carlo methods (2007, methodology): “Even though some introductory chapters on this method have recently appeared [50,51], the lack of literature on algorithmic aspects of the KMC method have not only led to confusion regarding its implementation, but also to reinvention of the same”
Demonstrating the Transferability and the Descriptive Power of Sketch-Map. (2013, methodology): “42 If we then randomly pick one of the members of V k and add it the set of landmark frames we have an algorithm that is equivalent to selecting points randomly from Z .”
Recent advances in modeling and simulation of the exposure and response of tungsten to fusion energy conditions (2017, methodology): “The method is formulated on the basis of Markovian (random) walks, such that each state transition is independent of the previous one, and the time increment behaves as a Poisson variate [82,83].”