| | |
| | |
Stat |
Members: 3645 Articles: 2'506'133 Articles rated: 2609
27 April 2024 |
|
| | | |
|
Article overview
| |
|
Scaling corrections of Majority Vote model on Barabasi-Albert networks | T. F. A. Alves
; G. A. Alves
; F. W. S. Lima
; A. M. Filho
; | Date: |
14 Oct 2019 | Abstract: | We consider two consensus formation models coupled to Barabasi-Albert
networks, namely the Majority Vote model and Biswas-Chatterjee-Sen model.
Recent works point to a non-universal behavior of the Majority Vote model,
where the critical exponents have a dependence on the connectivity while the
effective dimension $D_mathrm{eff} = 2eta/
u + gamma/
u$ of the lattice
is unity. We considered a generalization of the scaling relations in order to
include logarithmic corrections. We obtained the leading critical exponent
ratios $1/
u$, $eta/
u$, and $gamma/
u$ by finite size scaling data
collapses, as well as the logarithmic correction pseudo-exponents
$widehat{lambda}$, $widehat{eta}+etawidehat{lambda}$, and
$widehat{gamma}-gammawidehat{lambda}$. By comparing the scaling behaviors
of the Majority Vote and Biswas-Chatterjee-Sen models, we argue that the
exponents of Majority Vote model, in fact, are universal. Therefore, they do
not depend on network connectivity. In addition, the critical exponents and the
universality class are the same of Biswas-Chatterjee-Sen model, as seen for
periodic and random graphs. However, the Majority Vote model has logarithmic
corrections on its scaling properties, while Biswas-Chatterjee-Sen model
follows usual scaling relations without logarithmic corrections. | Source: | arXiv, 1910.6046 | 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:
| |