Related Experiment Video
Updated: Nov 30, 2025

08:37
Forming, Confining, and Observing Microtubule-Based Active Nematics
Published on: January 13, 2023
3.0K
Dry Active Matter Exhibits a Self-Organized Cross Sea Phase.
Rüdiger Kürsten1, Thomas Ihle1
1Institut für Physik, Universität Greifswald, Felix-Hausdorff-Straße 6, 17489 Greifswald, Germany.
Physical Review Letters
|November 16, 2020
Summary
Researchers discovered a fourth phase in the Vicsek model of self-propelled particles, the polar ordered cross sea phase. This complex pattern exhibits an inherent crossing angle, distinct from simple wave superpositions.
Area of Science:
- Complex systems
- Statistical physics
- Non-equilibrium dynamics
Background:
- The Vicsek model describes self-propelled particles with different phases: Toner-Tu, banded, and disordered.
- Previous understanding identified three distinct phases in the Vicsek model.
Purpose of the Study:
- To identify and characterize novel phases within the standard Vicsek model.
- To investigate the behavior of the Vicsek model at large system sizes.
Main Methods:
- Simulations of the Vicsek model at large system sizes.
- Analysis of particle dynamics and spatial organization.
- Characterization of emergent patterns and their properties.
Main Results:
- Identification of a previously unknown fourth phase: the polar ordered cross sea phase.
- Demonstration that the cross sea phase is a complex pattern, not a simple superposition of waves.
- Discovery of an inherently selected crossing angle within the cross sea phase.
Conclusions:
- The standard Vicsek model exhibits a richer phase diagram than previously known.
- The cross sea phase represents a novel emergent behavior in self-propelled particle systems.
- Further research is needed to fully understand the properties and implications of the cross sea phase.
Related Concept Videos
Phase Transitions
21.8K
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...
21.8K
Phase Contrast and Differential Interference Contrast Microscopy
11.5K
Phase-Contrast Microscopes
In-phase-contrast microscopes, interference between light directly passing through a cell and light refracted by cellular components is used to create high-contrast, high-resolution images without staining. It is the oldest and simplest type of microscope that creates an image by altering the wavelengths of light rays passing through the specimen. Altered wavelength paths are created using an annular stop in the condenser. The annular stop produces a hollow cone of...
In-phase-contrast microscopes, interference between light directly passing through a cell and light refracted by cellular components is used to create high-contrast, high-resolution images without staining. It is the oldest and simplest type of microscope that creates an image by altering the wavelengths of light rays passing through the specimen. Altered wavelength paths are created using an annular stop in the condenser. The annular stop produces a hollow cone of...
11.5K
Phase Changes
5.0K
Phase transitions play an important theoretical and practical role in the study of heat flow. In melting or fusion, a solid turns into a liquid; the opposite process is freezing. In evaporation, a liquid turns into a gas; the opposite process is condensation.
A substance melts or freezes at a temperature called its melting point and boils or condenses at its boiling point. These temperatures depend on pressure. High pressure favors the denser form of the substance, so typically, high pressure...
A substance melts or freezes at a temperature called its melting point and boils or condenses at its boiling point. These temperatures depend on pressure. High pressure favors the denser form of the substance, so typically, high pressure...
5.0K
Phase Diagram
6.7K
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).
6.7K
Phase Transitions: Sublimation and Deposition
19.2K
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...
19.2K
Phase Diagrams
47.1K
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...
47.1K

