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А. И. Карасевский
«Статистический подход к термодинамическому описанию нанокристаллов.»
001–012 (2011)

PACS numbers: 61.46.Hk, 63.20.Ry, 63.22.-m, 64.70.dm, 64.70.Nd, 65.80.-g, 82.60.Qr

We propose a method for construction of statistical distribu-tion functions of atomic displacements in nanocrystals with an arbitrary number of atoms. The method is based on the determi-nation of the parameters of the statistical distribution func-tions of atomic displacements, which are determined by the ei-genvalues and eigenvectors of the nanocrystal dynamical ma-trix. As revealed, the parameters change nonmonotonically with decrease of nanocrystal size, causing nonmonotonic size-dependence of the melting temperature of small nanoclusters.