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Constrained fluid lambda-integration: constructing a reversible thermodynamic path between the solid and liquid

Gregory Grochola1

  • 1Department of Applied Physics, RMIT University, GPO Box 2476V, Melbourne VIC 3001, Australia.

The Journal of Chemical Physics
|July 23, 2004
PubMed
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A new lambda-integration method directly calculates free energy differences between solid and liquid states, simplifying phase transition calculations in computer simulations. This approach avoids reference states and is broadly applicable to various systems.

Area of Science:

  • Computational Physics
  • Materials Science
  • Chemical Engineering

Background:

  • Accurate calculation of Gibbs free energy differences is crucial for determining phase transition lines, such as melting points.
  • Current methods often rely on coupling to idealized reference states, complicating the process for computer simulations.
  • Developing efficient and direct methods for phase transition calculations is essential for advancing materials and molecular simulations.

Purpose of the Study:

  • To introduce a novel lambda-integration path for directly calculating Gibbs free energy differences between arbitrary solid and liquid states.
  • To simplify the location of melting lines and other phase transitions in computer simulation systems.
  • To provide a versatile method applicable to various simulation methodologies, cell sizes, and intermolecular potentials.

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Main Methods:

  • A three-stage reversible process is employed, involving linear scaling of intermolecular potentials and the use of 3D Gaussian wells to constrain configurations.
  • The liquid state is transformed into a weakly attractive fluid, then constrained to solid phase space, and finally returned to the original potential.
  • The thermodynamic integrability and reversibility of each stage were confirmed.

Main Results:

  • The proposed lambda-integration path successfully calculates Gibbs free energy differences between solid and liquid states.
  • Validation using the truncated and shifted Lennard-Jones system shows good agreement with existing literature data for solid-liquid coexistence points.
  • The method demonstrates high accuracy and broad applicability beyond melting transitions.

Conclusions:

  • The novel lambda-integration technique offers a simplified and direct approach to locating phase transitions in simulations.
  • This method eliminates the need for reference states, making it more efficient for computational studies.
  • The technique is versatile and can be applied to a wide range of systems, including ab initio methods.