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

Molecular Models02:00

Molecular Models

Physical models representing molecular architectures of chemical compounds play essential roles in understanding chemistry. The use of molecular models makes it easier to visualize the structures and shapes of atoms and molecules.
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Three-Compartment Open Model01:06

Three-Compartment Open Model

The three-compartment open model is a pharmacokinetic model used to describe the distribution and elimination of drugs following extravascular administration. It comprises a central compartment representing the plasma and two peripheral compartments. The highly perfused peripheral compartment represents organs and tissues with a rich blood supply, such as the liver, kidneys, and lungs. The scarcely perfused peripheral compartment represents tissues with lower blood supply, such as adipose...
Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
Multicompartment Models: Overview01:14

Multicompartment Models: Overview

Multicompartment models are mathematical constructs that depict how drugs are distributed and eliminated within the body. They segment the body into several compartments, symbolizing various physiological or anatomical areas connected through drug transfer processes such as absorption, metabolism, distribution, and elimination.
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...

You might also read

Related Articles

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

Sort by
Same author

Heisenberg spin chain with random-sign couplings.

Proceedings of the National Academy of Sciences of the United States of America·2024
Same author

Coarse-Grained Entanglement and Operator Growth in Anomalous Dynamics.

Physical review letters·2022
Same author

Overactivated transport in the localized phase of the superconductor-insulator transition.

Nature communications·2021
Same author

Emergent Moments and Random Singlet Physics in a Majorana Spin Liquid.

Physical review letters·2021
Same author

Many-Body Delocalization as Symmetry Breaking.

Physical review letters·2021
Same author

Quantum Hall Network Models as Floquet Topological Insulators.

Physical review letters·2020
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Related Experiment Video

Updated: May 28, 2026

Interactive Molecular Model Assembly with 3D Printing
06:15

Interactive Molecular Model Assembly with 3D Printing

Published on: August 13, 2020

3D loop models and the CP(n-1) sigma model.

Adam Nahum1, J T Chalker, P Serna

  • 1Theoretical Physics, Oxford University, 1 Keble Road, Oxford OX1 3NP, United Kingdom.

Physical Review Letters
|October 27, 2011
PubMed
Summary
This summary is machine-generated.

This study explores three-dimensional loop models in statistical mechanics, finding continuous phase transitions for loop fugacity n=1-3 and first-order transitions for n≥5. These findings are relevant to random media and quantum magnets.

More Related Videos

Scalable Nanohelices for Predictive Studies and Enhanced 3D Visualization
08:03

Scalable Nanohelices for Predictive Studies and Enhanced 3D Visualization

Published on: November 12, 2014

3D Printing of Biomolecular Models for Research and Pedagogy
09:17

3D Printing of Biomolecular Models for Research and Pedagogy

Published on: March 13, 2017

Related Experiment Videos

Last Updated: May 28, 2026

Interactive Molecular Model Assembly with 3D Printing
06:15

Interactive Molecular Model Assembly with 3D Printing

Published on: August 13, 2020

Scalable Nanohelices for Predictive Studies and Enhanced 3D Visualization
08:03

Scalable Nanohelices for Predictive Studies and Enhanced 3D Visualization

Published on: November 12, 2014

3D Printing of Biomolecular Models for Research and Pedagogy
09:17

3D Printing of Biomolecular Models for Research and Pedagogy

Published on: March 13, 2017

Area of Science:

  • Statistical mechanics
  • Condensed matter physics
  • Quantum field theory

Background:

  • Random curves are fundamental to many statistical mechanics problems.
  • Three-dimensional loop models serve as prototypes for these random curve ensembles.
  • These models exhibit phase transitions between infinite and short-loop states.

Purpose of the Study:

  • To investigate phase transitions in three-dimensional loop models.
  • To map these models to CP(n-1) sigma models, relating them to quantum field theory.
  • To determine the nature of transitions based on loop fugacity (n).

Main Methods:

  • Utilizing Monte Carlo simulations to study the loop models.
  • Mapping the statistical mechanics models to (2+1)-dimensional CP(n-1) sigma models.
  • Analyzing the behavior of the models for different values of loop fugacity (n).

Main Results:

  • Continuous phase transitions were observed for loop fugacity n=1, 2, and 3.
  • First-order phase transitions were identified for loop fugacity n≥5.
  • The study provides a connection between loop models and CP(n-1) sigma models.

Conclusions:

  • The nature of phase transitions in these loop models depends critically on the loop fugacity.
  • The findings offer insights into phenomena like Anderson localization and (2+1)-dimensional quantum magnets.
  • The research bridges statistical mechanics, condensed matter, and quantum field theory.