Topic
Dynamic Monte Carlo method
About: Dynamic Monte Carlo method is a research topic. Over the lifetime, 13294 publications have been published within this topic receiving 371256 citations.
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TL;DR: A systematic approach is presented to quasi-random numbers that being used instead of random numbers in Monte Carlo algorithms imply their convergence in the classical sense, efficient mainly for algorithms with small constructive dimensions.
139 citations
TL;DR: This work reviews and discusses some recent progress in the theory of Markov-chain Monte Carlo applications and attempts to assess the relevance of this theory for practical applications.
Abstract: We review and discuss some recent progress in the theory of Markov-chain Monte Carlo applications, particularly oriented to applications in statistics. We attempt to assess the relevance of this theory for practical applications.
139 citations
139 citations
TL;DR: This work investigates the accuracy of trial wave functions for quantum Monte Carlo based on Pfaffian functional form with singlet and triplet pairing and finds that Pfaffians lead to substantial improvements in fermions when compared to Hartree-Fock wave functions.
Abstract: We investigate the accuracy of trial wave functions for quantum Monte Carlo based on Pfaffian functional form with singlet and triplet pairing Using a set of first row atoms and molecules we find that these wave functions provide very consistent and systematic behavior in recovering the correlation energies on the level of 95% In order to get beyond this limit we explore the possibilities of multi-Pfaffian pairing wave functions We show that a small number of Pfaffians recovers another large fraction of the missing correlation energy comparable to the larger-scale configuration interaction wave functions We also find that Pfaffians lead to substantial improvements in fermion nodes when compared to Hartree-Fock wave functions
139 citations