Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Phase Transitions: Vaporization and Condensation

Phase Transitions: Vaporization and Condensation

The physical form of a substance changes on changing its temperature. For example, raising the temperature of a liquid causes the liquid to vaporize (convert into vapor). The process is called vaporization—a surface phenomenon. Vaporization occurs when the thermal motion of the molecules overcome the intermolecular forces, and the molecules (at the surface) escape into the gaseous state. When a liquid vaporizes in a closed container, gas molecules cannot escape. As these gas phase molecules...

Phase Transitions: Sublimation and Deposition

Phase Transitions: Sublimation and Deposition

Some solids can transition directly into the gaseous state, bypassing the liquid state, via a process known as sublimation. At room temperature and standard pressure, a piece of dry ice (solid CO2) sublimes, appearing to gradually disappear without ever forming any liquid. Snow and ice sublimate at temperatures below the melting point of water, a slow process that may be accelerated by winds and the reduced atmospheric pressures at high altitudes. When solid iodine is warmed, the solid sublimes...

Partial Differential Equations

Partial Differential Equations

A stone dropped into a still pond generates waves that propagate outward in circular patterns, creating a dynamic surface whose elevation depends on both position and time. At any given location, the water level oscillates as the wave passes, while at any fixed moment, the surface exhibits smooth, curved structures extending across space. This dual dependence requires a mathematical description that accounts for variation in multiple variables simultaneously.At a fixed point on the water...

Dimensionless Groups in Fluid Mechanics

Dimensionless Groups in Fluid Mechanics

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...

Phase Transitions

Phase Transitions

Whether solid, liquid, or gas, a substance's state depends on the order and arrangement of its particles (atoms, molecules, or ions). Particles in the solid pack closely together, generally in a pattern. The particles vibrate about their fixed positions but do not move or squeeze past their neighbors. In liquids, although the particles are closely spaced, they are randomly arranged. The position of the particles are not fixed—that is, they are free to move past their neighbors to occupy...

Phase Transitions

Phase Transitions

A phase transition is the process in which a substance changes from one state of matter to another, like from a solid to a liquid, liquid to gas, or vice versa, at a specific temperature and under given pressure conditions. This change is spontaneous and is affected by alterations in temperature and pressure. These parameters impact the strength of the forces between molecules (intermolecular forces) in the substance.During a phase transition, both the initial and final phases of the substance...

You might also read

Related Articles

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

Sort by

Same author

Metabolic reprogramming landscape orchestrating chlamydospore formation in <i>Volvariella volvacea</i>.

Frontiers in microbiology·2026

Same author

Long-Range Order in a Strictly Short-Range Quasi-2D XY Model: When Critical Fluctuations Matter.

Physical review letters·2026

Same author

Holistic genome assembly and analysis of the <i>Tremella fuciformis</i> interaction community uncovers intergenomic insights beyond dual genomes.

IMA fungus·2026

Same author

Characterization of the Killing-Rate for a Pest Control Model: The Cumulative Lethal Rate Based on Pesticide Dose-Response Relation.

Bulletin of mathematical biology·2026

Same author

The dynamics of hepatitis B transmission with treatment and vaccination: A case study in the Ili region of Xinjiang, China, by a physics-informed neural networks approach.

Mathematical biosciences·2026

Same author

Impact of long-term high-altitude residence on cardiopulmonary function in asymptomatic men: A cross-sectional study.

Physiological reports·2026

Search research articles

Related Experiment Video

Updated: Jun 29, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

Percolation transitions in two dimensions.

Xiaomei Feng¹, Youjin Deng, Henk W J Blöte

¹Faculty of Applied Sciences, Delft University of Technology, P. O. Box 5046, 2600 GA Delft, The Netherlands.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|October 15, 2008

Summary

This summary is machine-generated.

This study numerically investigates percolation models on various 2D lattices. Findings align with theoretical predictions for scaling corrections, with logarithmic factors observed in most cases.

More Related Videos

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Evolution of Staircase Structures in Diffusive Convection

Evolution of Staircase Structures in Diffusive Convection

Published on: September 5, 2018

Related Experiment Videos

Last Updated: Jun 29, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Evolution of Staircase Structures in Diffusive Convection

Evolution of Staircase Structures in Diffusive Convection

Published on: September 5, 2018

Area of Science:

Statistical Physics
Condensed Matter Physics
Computational Physics

Background:

Percolation theory models the connectivity of random networks.
Understanding critical phenomena in disordered systems is crucial.

Purpose of the Study:

To numerically investigate bond- and site-percolation thresholds on diverse 2D lattices.
To analyze corrections to scaling and compare with theoretical predictions.

Main Methods:

Transfer-matrix calculations
Monte Carlo simulations
Analysis of two-dimensional lattices (square, triangular, honeycomb, kagome, diced)

Main Results:

Calculated bond- and site-percolation thresholds for multiple lattice types.
Observed scaling corrections consistent with Coulomb gas theory (Xt2=4).
Identified logarithmic correction terms in most cases, varying with lattice orientation.

Conclusions:

Numerical results support theoretical predictions for critical phenomena in percolation.
Lattice geometry and orientation influence scaling correction amplitudes.
Logarithmic corrections are prevalent but not universal across all site-percolation problems.