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Researchers developed new methods to trace isomorphs in molecular systems using single configurations. The best method involves invariant center-of-mass reduced forces, advancing the study of thermodynamic phase diagrams.

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Area of Science:

  • Thermodynamics and Statistical Mechanics
  • Computational Chemistry
  • Materials Science

Background:

  • Isomorphs are curves in thermodynamic phase diagrams where structure and dynamics remain approximately invariant.
  • Traditional methods for tracing isomorphs include the configurational-adiabat and direct-isomorph-check methods.
  • A recent force-scaling method proved effective for atomic systems, requiring only one equilibrium configuration.

Purpose of the Study:

  • To test generalizations of the force-scaling method for tracing isomorphs in molecular systems.
  • To compare the performance of new force- and torque-based methods using single configurations.
  • To identify the most effective method for identifying isomorphs in molecular models.

Main Methods:

  • Introduced and tested two novel force-based methods for isomorph tracing.
  • Introduced and tested one novel torque-based method for isomorph tracing.
  • Simulations were performed on three molecular models: asymmetric dumbbell (Lennard-Jones), symmetric inverse-power-law dumbbell, and the Lewis-Wahnström o-terphenyl model.

Main Results:

  • All introduced methods successfully traced isomorphs using a single configuration.
  • The method requiring invariant center-of-mass reduced forces demonstrated the best performance.
  • The study successfully generalized the force-scaling approach to molecular systems.

Conclusions:

  • The center-of-mass reduced force invariance method is a robust and efficient approach for identifying isomorphs in molecular systems.
  • This single-configuration method offers a significant advancement over previous techniques for exploring thermodynamic phase diagrams.
  • The findings facilitate a deeper understanding of structure-property relationships in molecular materials.