Related Experiment Video
Updated: Feb 15, 2026

Fluorescence Imaging with One-nanometer Accuracy FIONA
Published on: September 26, 2014
Control of accuracy in the Wang-Landau algorithm
L Yu Barash1,2,3, M A Fadeeva2,3, L N Shchur1,2,3
1Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia.
Abstract:
The Wang-Landau (WL) algorithm has been widely used for simulations in many areas of physics. Our analysis of the WL algorithm explains its properties and shows that the difference of the largest eigenvalue of the transition matrix in the energy space from unity can be used to control the accuracy of estimating the density of states. Analytic expressions for the matrix elements are given in the case of the one-dimensional Ising model. The proposed method is further confirmed by numerical results for the one-dimensional and two-dimensional Ising models and also the two-dimensional Potts model.
Related Concept Videos
Improving Translational Accuracy
Improving Translational Accuracy
Uncertainty in Measurement: Accuracy and Precision
Accuracy and Precision
Trial and Error and Algorithm
Accuracy, limits, and approximation
Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
The accuracy of any solution is based on the...

