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Phase Diagrams

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 Diagram

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 Diagram

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

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

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...

Solid–Solid Solutions

Solid–Solid Solutions

The temperature-composition phase diagram of two solids, A and B, which are immiscible in the solid phase but form miscible liquids, shows that when the temperature is low, these two exist as separate, pure solids (A and B). As the temperature increases, they transition into a single-phase liquid solution where A and B coexist. Moving from point a1 to a2 in the phase diagram, the composition changes such that solid B begins to separate from the solution, enriching the remaining liquid with A.

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Simulation of the Planetary Interior Differentiation Processes in the Laboratory

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Liquid and Solid Phases of ^{3}He on Graphite.

M C Gordillo¹, J Boronat²

¹Departamento de Sistemas Físicos, Químicos y Naturales, Universidad Pablo de Olavide, E-41013 Seville, Spain.

Physical Review Letters

|April 23, 2016

Summary

Experiments confirm a stable liquid helium-3 (³He) phase on graphite at ultra-low densities. Quantum Monte Carlo simulations reveal gas-liquid coexistence on corrugated surfaces, matching experimental findings.

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Area of Science:

Condensed Matter Physics
Low-Temperature Physics
Surface Science

Background:

Recent experiments indicate a stable liquid phase of helium-3 (³He) adsorbed on graphite, existing at exceptionally low densities.
Prior theoretical models, assuming a 2D system on a flat surface, predicted this liquid phase to be unstable, favoring a gas phase.

Purpose of the Study:

To investigate the phase diagram of normal ³He adsorbed on graphite at absolute zero (T=0).
To reconcile discrepancies between experimental observations and previous theoretical predictions regarding the stability of liquid ³He on graphite.

Main Methods:

Utilized quantum Monte Carlo (QMC) methods for theoretical calculations.
Modeled the ³He/graphite system considering both fully corrugated and flat substrate potentials.

Main Results:

For a corrugated graphite substrate, QMC simulations predict a gas-liquid coexistence at T=0.
A dilute gas phase exists below 0.006 Å⁻², in equilibrium with a liquid phase at 0.014 Å⁻².
No gas-liquid coexistence was observed for a flat substrate, aligning with earlier theoretical results.

Conclusions:

The corrugated nature of the graphite substrate is crucial for the stability of the low-density liquid ³He phase.
The theoretical predictions for the corrugated surface accurately reproduce recent experimental findings.
The study also characterizes solid structures and phase transitions at higher ³He densities.