Lindemann melting criterion in two dimensions
S. A. Khrapak
Abstract
This paper demonstrates that the Lindemann's criterion can be re-formulated in two dimensions using statistical mechanics arguments. The resulting explicit expression for the melting temperature appears formally equivalent to that in three dimensions. The result is practically equivalent to the the Berezinskii-Kosterlitz-Thouless-Halperin-Nelson-Young melting condition of dislocation unbinding.
Topics & Concepts
Melting temperatureDislocationExpression (computer science)ThermodynamicsStatistical physicsPhysicsMaterials scienceMathematicsCondensed matter physicsComputer scienceComposite materialProgramming languageTheoretical and Computational PhysicsHigh-pressure geophysics and materialsStatistical Mechanics and Entropy