Two-dimensional dilute Baxter-Wu model: Transition order and universality

Macêdo, A. R. S.; Vasilopoulos, A.; Akritidis, M.; Plascak, J. A.; Fytas, N. G.; Weigel, M.

doi:10.1103/physreve.108.024140

Phys. Rev. E

2023

DOI: 10.1103/physreve.108.024140

|View full text |Cite

Two-dimensional dilute Baxter-Wu model: Transition order and universality

A. R. S. Macêdo,

A. Vasilopoulos,

M. Akritidis

et al.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 66 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Critical and tricritical singularities from small-scale Monte Carlo simulations: the Blume–Capel model in two dimensions

Moueddene,

G Fytas,

Holovatch

et al. 2024

J. Stat. Mech.

View full text Add to dashboard Cite

We show that accurate insights into the critical properties of the Blume–Capel model at two dimensions can be deduced from Monte Carlo simulations, even for small system sizes, when one analyses the behaviour of the zeros of the partition function. The phase diagram of the model displays a line of second-order phase transitions ending at a tricritical point, then a line of first-order transitions. We concentrate on critical and tricritical properties and compare the accuracy achieved via standard finite-size scaling of thermodynamic quantities with that from the zeros analysis. This latter analysis showcases spectacular precision, even for systems as small as 64 spins. We also show that the zeros are very sensitive to subtle crossover effects.

show abstract

Critical and tricritical singularities from small-scale Monte Carlo simulations: the Blume–Capel model in two dimensions

Moueddene,

G Fytas,

Holovatch

et al. 2024

J. Stat. Mech.

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Two-dimensional dilute Baxter-Wu model: Transition order and universality

Cited by 1 publication

References 66 publications

Critical and tricritical singularities from small-scale Monte Carlo simulations: the Blume–Capel model in two dimensions

Critical and tricritical singularities from small-scale Monte Carlo simulations: the Blume–Capel model in two dimensions

Contact Info

Product

Resources

About