TestLandscapes.jl

This is a collection of reference low dimensional energy landscapes that frequently appear in the literature.

Acknowledgements

This work was supported in part by the US National Science Foundation Grants DMS-1818716 and DMS-2111278.

References

These landscapes are motivated by and/or have appeared in the following publications:

  • An Automatic Method for Finding the Greatest or Least Value of a Function, Rosenbrock, The Computer Journal, 3(3), 175-184, 1960.
  • Reaction Paths on Multidimensional Energy Hypersurfaces, Müller, Angew. Chem. 19(1),1-13, 1980.
  • Illustration of transition path theory on a collection of simple examples, Metzner, Schütte, and Vanden-Eijnden, J. Chem. Phys., 125, 084110, 2006.
  • Free Energy Computations, Lelièvre, Rousset, and Stoltz, Imperial College Press, 2006.
  • Role of Ito’s lemma in sampling pinned diffusion paths in the continuous-time limit, Malsom and Pinski, Phys. Rev. E, 94, 042131, 2016.
  • Nonlinear reaction coordinate analysis in the reweighted path ensemble, Lechner, Rogal, Juraszek, Ensing, and Bolhuis, J. Chem. Phys., 133, 174110, 2010.
  • Weighted ensemble: Recent mathematical developments, Aristoff, Copperman, Simpson, Webber, and Zuckerman, J. Chem. Phys., 158, 014108 2023.