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Related Concept Videos

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 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 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...
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 Transitions: Vaporization and Condensation02:39

Phase Transitions: Vaporization and Condensation

The physical form of a substance changes on changing its temperature. For example, raising the temperature of a liquid causes the liquid to vaporize (convert into vapor). The process is called vaporization—a surface phenomenon. Vaporization occurs when the thermal motion of the molecules overcome the intermolecular forces, and the molecules (at the surface) escape into the gaseous state. When a liquid vaporizes in a closed container, gas molecules cannot escape. As these gas phase molecules...

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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Geodesics in information geometry: classical and quantum phase transitions.

Prashant Kumar1, Subhash Mahapatra, Prabwal Phukon

  • 1Department of Physics, Indian Institute of Technology, Kanpur 208016, India. kprash@iitk.ac.in

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 11, 2012
PubMed
Summary
This summary is machine-generated.

Geodesics in phase transition systems stay within a single phase and turn near critical points, revealing geometric universality across diverse physical models.

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Area of Science:

  • Theoretical Physics
  • Condensed Matter Physics
  • Mathematical Physics

Background:

  • Second-order phase transitions, both classical and quantum, are fundamental phenomena in physics.
  • Understanding the behavior of systems near critical points is crucial for theoretical advancements.
  • Geometric approaches offer novel perspectives on complex physical systems.

Purpose of the Study:

  • To investigate the geometric properties of parameter manifolds for systems undergoing phase transitions.
  • To analyze the behavior of geodesics in classical and quantum phase transitions.
  • To explore potential geometric universality across different physical systems exhibiting phase transitions.

Main Methods:

  • Numerical solutions of coupled nonlinear geodesic equations.
  • Application to various models exhibiting second-order phase transitions in the thermodynamic limit.
  • Analysis of geodesic trajectories and their behavior near critical points.

Main Results:

  • Geodesics are confined to a single phase region within the parameter manifold.
  • Geodesics exhibit characteristic turning behavior as they approach critical points.
  • These findings hold true for both classical and quantum phase transitions.

Conclusions:

  • The study demonstrates a geometric confinement of geodesics to specific phases.
  • Turning behavior near critical points suggests a universal geometric feature.
  • Results indicate a potential for geometric universality in diverse physical systems undergoing phase transitions.