@article{oai:nagoya.repo.nii.ac.jp:00026948, author = {Mitsutake, Ayori and Okamoto, Yuko}, issue = {4}, journal = {Physical Review E}, month = {Apr}, note = {We discuss multidimensional generalizations of multicanonical algorithm, simulated tempering, and replica-exchange method. We generalize the original potential-energy function E0 by adding any physical quantity V of interest as a new energy term with a coupling constant λ. We then perform a multidimensional multicanonical simulation where a random walk in E0 and V spaces is realized. We can alternately perform a multidimensional simulated-tempering simulation where a random walk in temperature T and parameter λ is realized. The results of the multidimensional replica-exchange simulations can be used to determine the weight factors for these multidimensional multicanonical and simulated-tempering simulations.}, title = {From multidimensional replica-exchange method to multidimensional multicanonical algorithm and simulated tempering}, volume = {79}, year = {2009} }