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Updated: Jun 24, 2025

Phase Diagram Characterization Using Magnetic Beads as Liquid Carriers
Published on: September 4, 2015
A simple and accurate method to determine fluid-crystal phase boundaries from direct coexistence simulations
Frank Smallenburg1, Giovanni Del Monte2, Marjolein de Jager2
1Université Paris-Saclay, CNRS, Laboratoire de Physique des Solides, 91405 Orsay, France.
This study introduces a simple direct coexistence method for accurately predicting fluid-crystal phase boundaries. The enhanced simulation technique offers a more accessible alternative to complex free-energy calculations.
Area of Science:
- Computational physics
- Materials science
- Statistical mechanics
Background:
- Determining phase boundaries computationally is crucial for materials science.
- Direct coexistence simulations are effective for fluid-fluid systems but challenging for fluid-crystal transitions due to strain issues.
- Existing methods for fluid-crystal phase boundaries often involve complex free-energy calculations.
Purpose of the Study:
- To present a simplified adaptation of the direct coexistence method for accurate fluid-crystal phase boundary prediction.
- To demonstrate the method's applicability across various systems, including hard spheres and screened Coulomb potentials.
- To provide an accessible and efficient alternative to traditional free-energy based methods.
Main Methods:
- Adaptation of the direct coexistence simulation method.
- Explicit simulation of direct coexistence between fluid and crystal phases.
- Testing the method on hard spheres, screened Coulomb potential, and a 2D patchy-particle model.
Main Results:
- The adapted direct coexistence method yields highly accurate predictions of fluid-crystal coexistence conditions.
- Excellent agreement was found between this method and more cumbersome free-energy calculation methods.
- The method successfully resolved the minute free-energy difference between FCC and HCP crystal phases of hard spheres.
Conclusions:
- The presented direct coexistence method is a simple yet accurate approach for determining fluid-crystal phase boundaries.
- This method overcomes limitations of traditional direct coexistence simulations for crystalline phases.
- Its ease of implementation makes it a valuable alternative for precise phase boundary determination in various simulation packages.
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