Title: Helmholtz free energy of finite spin systems near criticality
Abstract: We present a quantitative comparison between 4-\ensuremath{\epsilon} expansion and Monte Carlo estimates of critical finite-size properties. Specifically we consider the Helmholtz free energy (where the overall order parameter rather than its conjugate field is kept fixed) at the bulk critical temperature for a cube with periodic boundary conditions within a 4-\ensuremath{\epsilon} expansion to one-loop order. An estimate for the complete asymptotic scaling function obtained from renormalization flow equations as well as systematic \ensuremath{\epsilon}-expansion estimates for several amplitude ratios agree well with corresponding Monte Carlo results in three dimensions. The nonequivalence of thermodynamic ensembles for critical finite-size properties is discussed in some detail.
Publication Year: 1987
Publication Date: 1987-04-01
Language: en
Type: article
Indexed In: ['crossref', 'pubmed']
Access and Citation
Cited By Count: 37
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot