A universal criterion of melting.

@article{Lubchenko2006AUC,
  title={A universal criterion of melting.},
  author={Vassiliy Lubchenko},
  journal={The journal of physical chemistry. B},
  year={2006},
  volume={110 38},
  pages={
          18779-86
        }
}
  • V. Lubchenko
  • Published 1 July 2006
  • Physics
  • The journal of physical chemistry. B
Melting is analyzed dynamically as a problem of localization at a liquid-solid interface. A Lindemann-like criterion of melting is derived in terms of particular vibrational amplitudes, which turn out to equal a universal quotient (about one-tenth) of the molecular spacing, at the interface. The near universality of the Lindemann ratio apparently arises owing to strongly overdamped dynamics near melting, and despite the anharmonic interactions being system-specific. A similar criterion is… 

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References

SHOWING 1-10 OF 55 REFERENCES
Phase transitions in surface films 2
  • H. Taub
  • Physics, Materials Science
  • 1991
Monolayers.- Phase Transitions of Monolayer Films Adsorbed on Graphite.- Computer Simulations of Two-Dimensional Systems.- Modulated Structures of Adsorbed Rare Gas Monolayers.- Signatures and
Dynamical theory of electron diffraction for the electron microscopic image of crystal lattices I. Images of single crystals
The dynamical theory of electron diffraction is applied to the interpretation of electron micro scopic images of lattice planes of plate- and wedge-shaped crystals. The wave functions and
Physics Today.
TLDR
Using a combination of x-ray diffraction and electron diffraction, the scientists produced a three-dimensional map of the hybridized "orbital hole" bonding copper with neighboring oxygen atoms in cuprite (Cu2O).
Theory of crystal dislocations
Theory of elasticity
This book is designed for use by students and teachers in the field of applied mechanics and mathematics, and for practitioners in civil and mechanical engineering. Since tensor calculus is an
Kinetic theory of liquids
...
...