Abstract
We perform a detailed study of the critical behavior of the mean field diluted Isingferromagnet using analytical and numerical tools. We obtain self-averaging for themagnetization and write down an expansion for the free energy close to the critical line.The scaling of the magnetization is also rigorously obtained and compared with extensiveMonte Carlo simulations. We explain the transition from an ergodic region to anon-trivial phase by commutativity breaking of the infinite volume limit and a suitablevanishing field. We find full agreement among theory, simulations and previousresults.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Statistical Mechanics: Theory and Experiment
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
