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

Phase Diagrams02:39

Phase Diagrams

49.9K
A phase diagram combines plots of pressure versus temperature for the liquid-gas, solid-liquid, and solid-gas phase-transition equilibria of a substance. These diagrams indicate the physical states that exist under specific conditions of pressure and temperature and also provide the pressure dependence of the phase-transition temperatures (melting points, sublimation points, boiling points). Regions or areas labeled solid, liquid, and gas represent single phases, while lines or curves represent...
49.9K
Phase Diagram01:19

Phase Diagram

7.0K
The phase of a given substance depends on the pressure and temperature. Thus, plots of pressure versus temperature showing the phase in each region provide considerable insights into the thermal properties of substances. Such plots are known as phase diagrams. For instance, in the phase diagram for water (Figure 1), the solid curve boundaries between the phases indicate phase transitions (i.e., temperatures and pressures at which the phases coexist).
7.0K
First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

7.9K
Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
7.9K
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

14.0K
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...
14.0K
Energy Diagrams - II01:10

Energy Diagrams - II

11.8K
Energy diagrams are important to understand the dynamics of a system. The topology of an energy diagram helps illustrate the equilibrium points of the system.
The point in the energy diagram at which the system’s potential energy is the lowest is known as the local minima. The system tends to stay in this position indefinitely unless acted upon by a net force. The slope of the potential energy diagram at the local minima is zero, indicating that zero net force is acting on the system. The...
11.8K
pV-Diagrams01:18

pV-Diagrams

6.1K
The pV diagram, which is a graph of pressure versus volume of the gas under study, is helpful in describing certain aspects of the substance. When the substance behaves like an ideal gas, the ideal gas equation describes the relationship between its pressure and volume. On a pV diagram, it is common to plot an isotherm, which is a curve showing p as a function of V with the number of molecules and the temperature fixed. Then, for an ideal gas, the product of the pressure of the gas and its...
6.1K

You might also read

Related Articles

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

Sort by
Same author

Decoding collective dynamics and complexity in nanoparticle assemblies using graph theory.

Science (New York, N.Y.)·2026
Same author

Understanding Coupling in Hierarchically Doped Plasmonic Nanocrystal Metamaterials.

ACS materials Au·2026
Same author

Universal progression of structure and dynamics in colloidal nanocrystal gels during salt-accelerated aging.

Science advances·2026
Same author

Viscosity of concentrated antibodies from a dynamic model of electrostatics.

Proceedings of the National Academy of Sciences of the United States of America·2025
Same author

Colloidal Phase Control in Plasmonic Metal Oxide Nanocrystals via Competitive Metal-Ligand Equilibria.

Angewandte Chemie (International ed. in English)·2025
Same author

Tracking Photothermal Heat Generation in ITO Nanocrystals and Its Dissipation to Their Surrounding Environment.

Nano letters·2025

Related Experiment Video

Updated: Jan 25, 2026

Phase Diagram Characterization Using Magnetic Beads as Liquid Carriers
12:37

Phase Diagram Characterization Using Magnetic Beads as Liquid Carriers

Published on: September 4, 2015

12.9K

Phase diagram for two-dimensional layer of soft particles.

Xilan Zhu1, Thomas M Truskett, Roger T Bonnecaze

  • 1McKetta Department of Chemical Engineering, University of Texas at Austin, Austin, Texas 78712, USA. rtb@che.utexas.edu.

Soft Matter
|May 8, 2019
PubMed
Summary

This study reveals the complex phase behavior of star polymers, showing reentrant melting and freezing transitions. The findings offer insights into 2D soft matter structures analogous to 3D systems.

More Related Videos

Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions
11:38

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

Published on: April 19, 2018

8.4K
Four-Dimensional Printing of Stimuli-Responsive Hydrogel-Based Soft Robots
05:43

Four-Dimensional Printing of Stimuli-Responsive Hydrogel-Based Soft Robots

Published on: January 13, 2023

4.2K

Related Experiment Videos

Last Updated: Jan 25, 2026

Phase Diagram Characterization Using Magnetic Beads as Liquid Carriers
12:37

Phase Diagram Characterization Using Magnetic Beads as Liquid Carriers

Published on: September 4, 2015

12.9K
Combining Microfluidics and Microrheology to Determine Rheological Properties of Soft Matter during Repeated Phase Transitions
11:38

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

Published on: April 19, 2018

8.4K
Four-Dimensional Printing of Stimuli-Responsive Hydrogel-Based Soft Robots
05:43

Four-Dimensional Printing of Stimuli-Responsive Hydrogel-Based Soft Robots

Published on: January 13, 2023

4.2K

Area of Science:

  • Soft matter physics
  • Polymer science
  • Materials science

Background:

  • Understanding the phase behavior of soft materials is crucial for designing advanced materials.
  • Star polymers, with their unique architecture, present complex self-assembly characteristics.
  • Previous studies have explored 2D phase diagrams, but the specific behavior of star polymers requires further investigation.

Purpose of the Study:

  • To present the phase diagram of a monolayer of soft particles using the Daoud-Cotton model for star polymers.
  • To investigate the influence of the number of arms and areal coverage on the phase behavior.
  • To compare the observed 2D structures with known 3D structures and experimental findings.

Main Methods:

  • Ground state calculations were employed to determine stable configurations.
  • Grand canonical Monte Carlo simulations were utilized to explore the phase space.
  • Analysis of the structure factor was performed to characterize the emergent phases.

Main Results:

  • The phase diagram exhibits rich and complex behavior, including reentrant melting and freezing.
  • Solid-solid transitions were observed, leading to various ordered phases: triangular, stripe, honeycomb, and kagome.
  • The 2D structures show analogies to those found in 3D systems.
  • The structure factor's evolution with density aligns qualitatively with experimental data for polymer-grafted nanocrystals.

Conclusions:

  • The Daoud-Cotton model effectively describes the rich phase behavior of star polymer monolayers.
  • The observed phases and transitions provide a fundamental understanding of soft particle assembly in two dimensions.
  • The study's findings have implications for the design and self-assembly of soft materials and nanomaterials.