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Phase Transitions02:31

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 Transitions01:21

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...
Phase Transitions: Sublimation and Deposition02:33

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...
Phase Diagrams02:39

Phase Diagrams

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...
Phase Diagram01:19

Phase Diagram

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).
Phase Diagram01:24

Phase Diagram

A phase diagram is a graphical representation of the physical states of a substance under different conditions of temperature and pressure. It shows the boundaries between solid, liquid, and gas phases and the conditions at which these phases coexist in equilibrium. An area in a phase diagram represents a single phase, whereas lines or phase boundaries represent the equilibrium between two phases.In the phase diagram of water, the boundary line between the solid and liquid states illustrates...

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Updated: Jun 14, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Granular coarsening: phase space and evolution analogies.

Gabriel Juarez1, Richard M Lueptow, Julio M Ottino

  • 1Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 7, 2010
PubMed
Summary

Surface banding in granular mixtures forms coarsening patterns similar to phase separation. This study examines how particle concentration and tumbler rotation rate influence these patterns, revealing a phase diagram for granular dynamics.

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Area of Science:

  • Granular physics
  • Complex systems
  • Materials science

Background:

  • Axial banding in granular mixtures is a known phenomenon.
  • Previous studies have not thoroughly investigated the impact of particle concentration and rotation rate on band formation.

Purpose of the Study:

  • To examine the dependence of surface band formation on particle concentration and rotation rate in bidisperse granular mixtures.
  • To construct a phase diagram illustrating the behavior of granular mixtures under varying conditions.

Main Methods:

  • Experimentation with size-varying bidisperse granular mixtures in cylindrical tumblers.
  • Analysis of space-time plots to observe coarsening patterns.
  • Application of dynamic scaling approaches.

Main Results:

  • Coarsening patterns analogous to nucleation and spinodal decomposition were observed.
  • A phase diagram, including a region resembling a miscibility gap, was constructed.
  • Large bands were observed to grow at the expense of smaller bands, indicating dynamic scaling behavior.

Conclusions:

  • The relative concentration of particles and rotation rate significantly influence surface band formation in granular mixtures.
  • The observed patterns can be characterized using concepts from phase transitions and dynamic scaling, providing insights into granular material behavior.