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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses

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Published on: June 7, 2018

Phase transition in a long-range antiferromagnetic model.

Anindita Ganguli¹, Subinay Dasgupta

¹Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Calcutta 700009, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|November 13, 2009

Summary

This study investigates an Ising model with specific spin interactions. Researchers found two distinct phase transitions, one to an ordered state and another to a disordered state, using perturbative methods.

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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses

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Area of Science:

Statistical Mechanics
Condensed Matter Physics

Background:

The Ising model is a fundamental model in statistical mechanics used to study magnetism.
Understanding phase transitions is crucial for characterizing material properties.

Purpose of the Study:

To investigate the phase transitions in an Ising model with specific antiferromagnetic interactions.
To analyze the system's behavior under a transverse magnetic field and varying temperatures.

Main Methods:

Perturbative treatment up to the second order was employed.
Analysis focused on the longitudinal spin components and their interactions.

Main Results:

A second-order phase transition to an ordered phase was observed at zero temperature under a transverse magnetic field.
An additional phase transition to a disordered phase occurred upon increasing the temperature.
These findings are nontrivial and distinct from related models.

Conclusions:

The study successfully derived and explained the two observed phase transitions in the specified Ising model.
The results highlight the unique behavior of this model, not predictable from existing theories for similar systems.