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Related Concept Videos

Phase Diagrams02:39

Phase Diagrams

49.0K
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...
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Phase Diagram01:19

Phase Diagram

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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).
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Energy Diagrams - II01:10

Energy Diagrams - II

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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...
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Toughness and Hardness of Aggregate01:22

Toughness and Hardness of Aggregate

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Toughness and hardness are critical properties of aggregate materials used in concrete, particularly on pavement surfaces and industrial flooring subjected to heavy loads. Toughness is defined as the aggregate's resistance to failure by impact and is measured by the aggregate impact value (AIV). For this, the aggregate impact value test is performed, wherein the impact is delivered by a standard hammer, which falls freely under its own weight onto the aggregates. The aggregates fragment in...
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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
Free-body Diagram01:28

Free-body Diagram

3.6K
In mechanics, understanding the motion of objects is essential, and one tool that helps solve this problem is the free-body diagram. It is a simple but powerful graphical representation that succinctly represents all the forces acting on an object. A free-body diagram can represent a stationary or moving object, and is used in mechanics to explain the cause of an object's motion.
A free-body diagram transforms a complex problem into a simple representation, making it easy to understand the...
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Updated: Jan 22, 2026

Phase Diagram Characterization Using Magnetic Beads as Liquid Carriers
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Sedimentation profiles and phase stacking diagrams in polydisperse hard rounded rectangle fluids.

Tobias Eckert1, Daniel de Las Heras2, Enrique Velasco3

  • 1Universität Bayreuth, Remote Sensing Technology Institute, Earth Observation Center, German Aerospace Center (DLR), Oberpfaffenhofen, D-82234 Weßling, Germany and Physikalisches Institut, D-95440 Bayreuth, Germany.

Physical Review. E
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Summary

This study reveals complex phase behaviors in polydisperse liquid crystals during sedimentation. Gravity and particle shape variations create intricate stacking patterns, including inverted and reentrant phases.

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Area of Science:

  • Soft Matter Physics
  • Colloidal Science
  • Liquid Crystal Theory

Background:

  • Understanding the behavior of polydisperse fluids is crucial for materials science.
  • Liquid crystals exhibit diverse phases (isotropic, nematic, tetratic) influenced by particle shape and interactions.
  • Sedimentation dynamics in confined or interacting systems are complex and not fully understood.

Purpose of the Study:

  • To investigate the sedimentation behavior of a two-dimensional polydisperse liquid-crystal fluid.
  • To explore the phase stacking phenomena arising from particle polydispersity and gravity.
  • To model the interplay between excluded volume effects and gravitational forces in liquid crystals.

Main Methods:

  • Utilizing a local density-functional theory (DFT) approach.
  • Employing scaled particle theory (SPT) to model hard rectangular particles.
  • Incorporating polydispersity through variations in particle roundness.

Main Results:

  • The model predicts isotropic, nematic, and tetratic bulk phases.
  • Complex phase stacking diagrams were observed during sedimentation.
  • Phenomena include multiphasic stacking, inverted sequences (e.g., isotropic over nematic), and reentrant stacks (e.g., tetratic between isotropic).

Conclusions:

  • Particle polydispersity and gravity intricately couple to produce rich sedimentation phenomenology.
  • The developed DFT-SPT model effectively captures complex phase behaviors in polydisperse systems.
  • The approach is adaptable for studying sedimentation in other polydisperse colloidal systems.