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Freezing in two-length-scale systems: complexity, universality and prediction.

R E Ryltsev1,2, N M Chtchelkatchev2

  • 1Institute of Metallurgy, Ural Branch of Russian Academy of Sciences, 101 Amundsena str., Ekaterinburg 620016, Russia.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|July 22, 2022
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Two-length-scale systems exhibit complex behaviors due to varied bond lengths. Their freezing behavior is predictable using the radial distribution function (RDF), simplifying solid phase prediction.

Keywords:
crystallizationfreezingliquid structuremolecular dynamicspair correlations

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Area of Science:

  • Condensed matter theory
  • Materials science
  • Statistical physics

Background:

  • Two-length-scale potentials are common in molecular, metallic, and soft matter.
  • These potentials lead to complex phenomena like polymorphism and anomalies.

Purpose of the Study:

  • To investigate general freezing properties in one-component two-length-scale systems.
  • To establish a predictive method for solid phase formation based on liquid structure.

Main Methods:

  • Analysis of the radial distribution function (RDF) of liquids.
  • Introduction of dimensionless parameters (λ and φ) to characterize systems.
  • Validation through numerical simulations and soft matter experiments.

Main Results:

  • Liquid solidification is primarily determined by the RDF.
  • Systems with similar RDFs freeze into identical solid phases.
  • Predictive parameters (λ and φ) correlate with observed solid phases.

Conclusions:

  • The RDF is a key determinant of freezing in two-length-scale systems.
  • A parameter-based approach effectively predicts solid phase formation.
  • This method aids in designing materials and understanding self-assembly.