Ordered metastable states in the Potts model and their connection with the superheated solid state

Felipe Moreno, Sergio Davis, Claudia Loyola, Joaquín Peralta

Resultado de la investigación: Article

1 Cita (Scopus)

Resumen

The superheating effect, in which a solid is heated well above its melting temperature and remains in an ordered, metastable phase, is a well-known phenomenon in materials science. Superheating can be observed experimentally under carefully controlled conditions, and more routinely in atomistic computer simulations. In the context of simulations of superheating, the so-called Z-method is a recently developed technique which allows a precise characterization of the metastable solid state and the melting temperature. However, metastable states are also present in other first-order phase transitions such as the order–disorder transition in spin systems. In spite of all the available work on the behavior of superheated solids, there have been few attempts to characterize the metastable ordered phase in contexts other than melting. In this work we study the ordered metastable state in a two-dimensional Potts lattice in the microcanonical ensemble under the conditions for first-order transitions. We connect our results with the melting transition in solids, and in particular with the empirical findings of the Z-method. In contrast with the sharp, discontinuous slope of the isochoric curve observed in the melting of solids, an S-shape curve is observed for T(E) in the case of spins. We discuss the implications of our results to extend the Z-method and its applicability for general first-order phase transitions.

Idioma originalEnglish
Páginas (desde-hasta)361-368
Número de páginas8
PublicaciónPhysica A: Statistical Mechanics and its Applications
Volumen509
DOI
EstadoPublished - 1 nov 2018

Huella dactilar

Metastable States
Potts Model
Melting
metastable state
superheating
melting
solid state
First-order Phase Transition
Microcanonical Ensemble
Atomistic Simulation
Curve
Materials Science
Spin Systems
curves
materials science
Slope
Computer Simulation
computerized simulation
slopes
First-order

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

Citar esto

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abstract = "The superheating effect, in which a solid is heated well above its melting temperature and remains in an ordered, metastable phase, is a well-known phenomenon in materials science. Superheating can be observed experimentally under carefully controlled conditions, and more routinely in atomistic computer simulations. In the context of simulations of superheating, the so-called Z-method is a recently developed technique which allows a precise characterization of the metastable solid state and the melting temperature. However, metastable states are also present in other first-order phase transitions such as the order–disorder transition in spin systems. In spite of all the available work on the behavior of superheated solids, there have been few attempts to characterize the metastable ordered phase in contexts other than melting. In this work we study the ordered metastable state in a two-dimensional Potts lattice in the microcanonical ensemble under the conditions for first-order transitions. We connect our results with the melting transition in solids, and in particular with the empirical findings of the Z-method. In contrast with the sharp, discontinuous slope of the isochoric curve observed in the melting of solids, an S-shape curve is observed for T(E) in the case of spins. We discuss the implications of our results to extend the Z-method and its applicability for general first-order phase transitions.",
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author = "Felipe Moreno and Sergio Davis and Claudia Loyola and Joaqu{\'i}n Peralta",
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T1 - Ordered metastable states in the Potts model and their connection with the superheated solid state

AU - Moreno, Felipe

AU - Davis, Sergio

AU - Loyola, Claudia

AU - Peralta, Joaquín

PY - 2018/11/1

Y1 - 2018/11/1

N2 - The superheating effect, in which a solid is heated well above its melting temperature and remains in an ordered, metastable phase, is a well-known phenomenon in materials science. Superheating can be observed experimentally under carefully controlled conditions, and more routinely in atomistic computer simulations. In the context of simulations of superheating, the so-called Z-method is a recently developed technique which allows a precise characterization of the metastable solid state and the melting temperature. However, metastable states are also present in other first-order phase transitions such as the order–disorder transition in spin systems. In spite of all the available work on the behavior of superheated solids, there have been few attempts to characterize the metastable ordered phase in contexts other than melting. In this work we study the ordered metastable state in a two-dimensional Potts lattice in the microcanonical ensemble under the conditions for first-order transitions. We connect our results with the melting transition in solids, and in particular with the empirical findings of the Z-method. In contrast with the sharp, discontinuous slope of the isochoric curve observed in the melting of solids, an S-shape curve is observed for T(E) in the case of spins. We discuss the implications of our results to extend the Z-method and its applicability for general first-order phase transitions.

AB - The superheating effect, in which a solid is heated well above its melting temperature and remains in an ordered, metastable phase, is a well-known phenomenon in materials science. Superheating can be observed experimentally under carefully controlled conditions, and more routinely in atomistic computer simulations. In the context of simulations of superheating, the so-called Z-method is a recently developed technique which allows a precise characterization of the metastable solid state and the melting temperature. However, metastable states are also present in other first-order phase transitions such as the order–disorder transition in spin systems. In spite of all the available work on the behavior of superheated solids, there have been few attempts to characterize the metastable ordered phase in contexts other than melting. In this work we study the ordered metastable state in a two-dimensional Potts lattice in the microcanonical ensemble under the conditions for first-order transitions. We connect our results with the melting transition in solids, and in particular with the empirical findings of the Z-method. In contrast with the sharp, discontinuous slope of the isochoric curve observed in the melting of solids, an S-shape curve is observed for T(E) in the case of spins. We discuss the implications of our results to extend the Z-method and its applicability for general first-order phase transitions.

KW - Monte Carlo simulation

KW - Phase transition

KW - Potts model

KW - Spin system

KW - Superheating

KW - Z-method

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