The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Theoretical foundations of dynamical Monte Carlo simulations
Abstract
Monte Carlo methods are utilized as computational tools in many areas of chemical physics. In this paper, we present the theoretical basis for a dynamical Monte Carlo method in terms of the theory of Poisson processes. We show that if: (1) a ‘‘dynamical hierarchy’’ of transition probabilities is created which also satisfy the detailed-balance criterion; (2) time increments upon successful events are calculated appropriately; and (3) the effective independence of various events comprising the system can be achieved, then Monte Carlo methods may be utilized to simulate the Poisson process and both static and dynamic properties of model Hamiltonian systems may be obtained and interpreted consistently.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Equation of State Calculations by Fast Computing Machines
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., & Teller, E. (1953) · The Journal of Chemical Physics · doi:10.1063/1.1699114 · Cited by 37,192
Cited by
Extending the Time Scale in Atomistic Simulation of Materials
Voter, A. F., Montalenti, F., & Germann, T. C. (2002) · Annual Review of Materials Research · doi:10.1146/annurev.matsci.32.112601.141541 · Cited by 700
INTRODUCTION TO THE KINETIC MONTE CARLO METHOD
Voter, A. F. (2007) · NATO Science Series · doi:10.1007/978-1-4020-5295-8_1 · Cited by 508
Growth of epitaxial graphene: Theory and experiment
Tetlow, H., Posthuma de Boer, J., Ford, I. J., Vvedensky, D. D., Coraux, J., & Kantorovich, L. (2014) · Physics Reports · doi:10.1016/j.physrep.2014.03.003 · Cited by 274
Metadata
- Authors
- Fichthorn, K. A., & Weinberg, W. H.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1991-07-15
- Volume
- 95
- Issue
- 2
- Pages
- 1090-1096
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2137971290
- Cited by
- 1,155
- References
- 1
- FWCI
- 2.94
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Theoretical foundations of dynamical Monte Carlo simulations. https://app.cochat.ai/papers/10.1063/1.461138
- The paper
- Fichthorn, K. A., & Weinberg, W. H. (1991). Theoretical foundations of dynamical Monte Carlo simulations. The Journal of Chemical Physics. https://doi.org/10.1063/1.461138
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
