|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'506'133
Articles rated: 2609
27 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Entropic sampling via Wang-Landau random walks in dominant energy subspaces | | A. Malakis
; S. S. Martinos
; I. A. Hadjiagapiou
; N. G. Fytas
; P. Kalozoumis
; | | Date: |
21 Sep 2005 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | Dominant energy subspaces of statistical systems are defined with the help of restrictive conditions on various characteristics of the energy distribution, such as the probability density and the forth order Binder’s cumulant. Our analysis generalizes the ideas of the critical minimum energy-subspace (CrMES) technique cite{malakis04}, applied previously to study the specific heat’s finite-size scaling. Here, we illustrate alternatives that are useful for the analysis of further finite-size anomalies and the behavior of the corresponding dominant subspaces is presented for the 2D Baxter-Wu, the 2D and 3D Ising models. In order to show that a CrMES technique is adequate for the study of magnetic anomalies, we study and test simple methods which provide the means for an accurate determination of the energy - order-parameter ($E-M$) histograms via Wang-Landau random walks. The 2D Ising model is used as a test case and it is shown that high-level Wang-Landau sampling schemes yield excellent estimates for all magnetic properties. Our estimates compare very well with those of the traditional Metropolis method. The relevant dominant energy subspaces and dominant magnetization subspaces scale as expected with exponents $alpha/
u$ and $gamma/
u$ respectively. Using the Metropolis method we examine the time evolution of the corresponding dominant magnetization subspaces and we uncover the reasons behind the inadequacy of the Metropolis method to produce a reliable estimation scheme for the tail-regime of the order parameter distribution. | | Source: | arXiv, cond-mat/0509539 | | Other source: | [GID 523462] pmid16486023 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER