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

Lattice Energies of Ionic Crystals

Lattice Energies of Ionic Crystals

Lattice energy represents the energy released when gaseous cations and anions combine to form an ionic solid, reflecting the strength of electrostatic interactions within the crystal. This process is fundamentally governed by Coulombic attraction between oppositely charged ions, where the potential energy varies inversely with the interionic distance and directly with the product of ionic charges. As ions approach one another, the electrostatic energy becomes increasingly negative, indicating a...

Fluid Mosaic Model

Fluid Mosaic Model

The fluid mosaic model was first proposed as a visual representation of research observations. The model comprises the composition and dynamics of membranes and serves as a foundation for future membrane-related studies. The model depicts the structure of the plasma membrane with a variety of components, which include phospholipids, proteins, and carbohydrates. These integral molecules are loosely bound, defining the cell’s border and providing fluidity for optimal function.LipidsThe most...

Fluid Mosaic Model

Fluid Mosaic Model

Scientists identified the plasma membrane in the 1890s and its principal chemical components (lipids and proteins) by 1915. The model for plasma membrane structure, proposed in 1935 by Hugh Davson and James Danielli, was the first model to be widely accepted in the scientific community. The model was based on the plasma membrane's "railroad track" appearance in early electron micrographs. Davson and Danielli theorized that the plasma membrane's structure resembled a sandwich with the analogy of...

Trends in Lattice Energy: Ion Size and Charge

Trends in Lattice Energy: Ion Size and Charge

An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:

The Colloidal State

The Colloidal State

The formation of a colloidal system is exemplified by an aqueous solution containing Cl− ions is introduced to another containing Ag+ ions, resulting in the precipitation of solid AgCl as extremely tiny crystals. Instead of settling out as a filterable precipitate, these crystals remain suspended in the liquid, showcasing a colloidal system.A colloidal system involves colloidal particles within the approximate range of 1 to 1000 nm in at least one dimension, dispersed in a medium called the...

Lattice Centering and Coordination Number

Lattice Centering and Coordination Number

The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...

You might also read

Related Articles

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

Sort by

Same author

Streamlined optical training of large-scale modern deep learning architectures with direct feedback alignment.

Proceedings of the National Academy of Sciences of the United States of America·2026

Same author

Inference in spreading processes with neural-network priors.

Physical review. E·2026

Same author

Dynamical cavity method for hypergraphs and its application to quenches in the k-XOR-SAT problem.

Physical review. E·2025

Same author

Integer traffic assignment problem: Algorithms and insights on random graphs.

Physical review. E·2025

Same author

SWAP algorithm for lattice spin models.

Physical review. E·2024

Same author

Sampling with flows, diffusion, and autoregressive neural networks from a spin-glass perspective.

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

Search research articles

Related Experiment Video

Updated: Jun 28, 2026

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

Lattice model for colloidal gels and glasses.

Florent Krzakala¹, Marco Tarzia, Lenka Zdeborová

¹Centre National de la Recherche Scientifique, ESPCI, 10 rue Vauquelin, UMR 7083 Gulliver, Paris, France.

Physical Review Letters

|November 13, 2008

Summary

This study presents an exactly solvable lattice model for attractive colloids. The model replicates key liquid and glass phenomena, including gelation and phase transitions, by varying pressure and temperature.

More Related Videos

Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions

Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions

Published on: April 19, 2018

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels

Published on: September 8, 2016

Related Experiment Videos

Last Updated: Jun 28, 2026

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Confocal Imaging of Confined Quiescent and Flowing Colloid-polymer Mixtures

Published on: May 20, 2014

Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions

Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions

Published on: April 19, 2018

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels

Controlled Synthesis and Fluorescence Tracking of Highly Uniform Poly(N-isopropylacrylamide) Microgels

Published on: September 8, 2016

Area of Science:

Statistical mechanics
Soft matter physics
Complex systems

Background:

Colloidal systems exhibit complex behaviors like gelation and glass transitions.
Understanding these phenomena is crucial in materials science and condensed matter physics.
Lattice models offer a simplified framework to study such complex systems.

Purpose of the Study:

To introduce and analyze an exactly solvable lattice model for attractive colloids.
To demonstrate the model's capability in reproducing characteristic phenomena of liquids and glasses.
To explore the influence of pressure and temperature on the system's phase behavior.

Main Methods:

Development of an exactly solvable lattice model.
Analysis of the model on sparse random graphs.
Systematic variation of pressure and temperature parameters.

Main Results:

The lattice model successfully reproduces phenomena such as ideal gel formation.
Observed liquid-glass phase coexistence and jamming transitions.
Demonstrated re-entrance of the glass transition with changing thermodynamic conditions.

Conclusions:

The exactly solvable lattice model provides a powerful tool for studying colloidal systems.
The model captures essential physics of liquids, glasses, and gels.
This work offers insights into the fundamental mechanisms driving phase transitions in soft matter.