Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Second Uniqueness Theorem01:16

Second Uniqueness Theorem

1.1K
Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second uniqueness theorem states that if the total charge on each conductor and the charge density in the in-between region are known, then the electric field can be uniquely determined.
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the...
1.1K
The Buckingham Pi Theorem01:09

The Buckingham Pi Theorem

898
The Buckingham Pi theorem provides a structured method to simplify fluid dynamics problems by reducing complex systems of variables to dimensionless terms.
898
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model01:09

Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model

429
Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the...
429
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

5.2K
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...
5.2K
Structure of Benzene: Molecular Orbital Model01:18

Structure of Benzene: Molecular Orbital Model

9.9K
According to the molecular orbital (MO) model, benzene has a planar structure with a regular hexagon of six sp2 hybridized carbons. As shown in Figure 1, each carbon is bonded to three other atoms with C–C–C and H–C–C bond angles of 120°. The C–H bond length is 109 pm, and the C–C bond length is 139 pm which is midway between the single bond length of sp3 hybridized carbons (154 pm) and sp2 hybridized carbons (133 pm).
9.9K
Dimensionless Groups in Fluid Mechanics01:15

Dimensionless Groups in Fluid Mechanics

424
Dimensionless groups in fluid mechanics provide simplified ratios that help analyze fluid behavior without relying on specific units. The Reynolds number (Re), which represents the ratio of inertial to viscous forces, distinguishes between laminar and turbulent flows, making it essential in the design of pipelines and aerodynamic surfaces. The Froude number (Fr), the ratio of inertial to gravitational forces, is particularly useful in predicting wave formation and hydraulic jumps in...
424

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Cluster percolation and dynamical scaling in the Baxter-Wu model.

Physical review. E·2026
Same author

Crossover of critical behavior in dynamic phase transitions of multilayer Ising model systems.

Physical review. E·2025
Same author

Monte Carlo study of the two-dimensional kinetic Ising model under a nonantisymmetric magnetic field.

Physical review. E·2025
Same author

Critical and tricritical behavior of the d=3 Blume-Capel model: Results from small-scale Monte Carlo simulations.

Physical review. E·2025
Same author

Partition Function Zeros of the Frustrated <i>J</i><sub>1</sub>-<i>J</i><sub>2</sub> Ising Model on the Honeycomb Lattice.

Entropy (Basel, Switzerland)·2024
Same author

Dynamical critical behavior of the two-dimensional three-state Potts model.

Physical review. E·2024

Related Experiment Video

Updated: Sep 8, 2025

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

8.0K

Universality in the two-dimensional dilute Baxter-Wu model.

Alexandros Vasilopoulos1, Nikolaos G Fytas1,2, Erol Vatansever1,3

  • 1Centre for Fluid and Complex Systems, Coventry University, Coventry CV1 5FB, United Kingdom.

Physical Review. E
|June 16, 2022
PubMed
Summary
This summary is machine-generated.

This study investigates universality in the 2D spin-1 Baxter-Wu model using numerical simulations. Results indicate the phase transition belongs to the four-state Potts model universality class, clarifying previous debates.

More Related Videos

High-Resolution Neutron Spectroscopy to Study Picosecond-Nanosecond Dynamics of Proteins and Hydration Water
08:48

High-Resolution Neutron Spectroscopy to Study Picosecond-Nanosecond Dynamics of Proteins and Hydration Water

Published on: April 28, 2022

1.8K
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

8.6K

Related Experiment Videos

Last Updated: Sep 8, 2025

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

8.0K
High-Resolution Neutron Spectroscopy to Study Picosecond-Nanosecond Dynamics of Proteins and Hydration Water
08:48

High-Resolution Neutron Spectroscopy to Study Picosecond-Nanosecond Dynamics of Proteins and Hydration Water

Published on: April 28, 2022

1.8K
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

8.6K

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Phase Transitions

Background:

  • The Baxter-Wu model is a significant model in statistical mechanics for studying phase transitions.
  • Universality classes describe the behavior of systems near critical points, regardless of microscopic details.
  • Previous studies on the 2D spin-1 Baxter-Wu model with a crystal field showed conflicting results regarding its universality.

Purpose of the Study:

  • To determine the universality class of the two-dimensional spin-1 Baxter-Wu model with a crystal field (Δ).
  • To resolve previous controversies concerning the nature of the phase transition in this model.
  • To investigate the influence of finite-size effects on the observed universality.

Main Methods:

  • Extensive numerical simulations were performed, utilizing two complementary techniques.
  • Wang-Landau sampling was employed at fixed crystal field values (Δ).
  • A parallelized multicanonical approach was conducted at constant temperature (T).
  • Finite-size scaling analysis was applied to the simulation data.

Main Results:

  • The detailed finite-size scaling analysis revealed that the phase transition belongs to the universality class of the four-state Potts model.
  • The study identified strong finite-size effects as the cause of previous discrepancies in the literature.
  • These effects are particularly pronounced near the pentacritical point of the model.

Conclusions:

  • The two-dimensional spin-1 Baxter-Wu model with a crystal field exhibits critical behavior consistent with the four-state Potts universality class.
  • Finite-size effects significantly impact the interpretation of simulation results, especially near critical points.
  • This work clarifies the universality of the model and provides a robust explanation for prior conflicting findings.