Flows in complex networks: theory, algorithms, and application to lennard-Jones cluster rearrangement

DOI10.1007/s10955-014-0997-8zbMath1301.82031arXiv1402.1736OpenAlexW3104017145MaRDI QIDQ741344

Eric Vanden-Eijnden, Maria Kourkina Cameron

Publication date: 11 September 2014

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1736

zbMATH Keywords

self-assemblyprotein foldingtransition path theoryMarkov state modelsglassy dynamics

Mathematics Subject Classification ID

Related Items (17)

Interface dynamics of a metastable mass-conserving spatially extended diffusion ⋮ Explore stochastic instabilities of periodic points by transition path theory ⋮ Multi-scale metastable dynamics and the asymptotic stationary distribution of perturbed Markov chains ⋮ Modeling aggregation processes of Lennard-Jones particles via stochastic networks ⋮ Metastable Markov chains ⋮ Spectral Theory for Random Poincaré Maps ⋮ Computing committors in collective variables via Mahalanobis diffusion maps ⋮ Optimal control for sampling the transition path process and estimating rates ⋮ Crystallization in two dimensions and a discrete Gauss-Bonnet theorem ⋮ Computing the asymptotic spectrum for networks representing energy landscapes using the minimum spanning tree ⋮ The Eyring-Kramers law for Markovian jump processes with symmetries ⋮ Point Cloud Discretization of Fokker--Planck Operators for Committor Functions ⋮ Statistical analysis of the first passage path ensemble of jump processes ⋮ Extending transition path theory: periodically driven and finite-time dynamics ⋮ Invertibility of graph translation and support of Laplacian Fiedler vectors ⋮ Metastability of reversible random walks in potential fields ⋮ A Convergent Discretization Method for Transition Path Theory for Diffusion Processes

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