Fractional phase transition in medium size metal clusters

Richard Herrmann

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 16, 3307-3315

Abstract: Based on the Riemann and Caputo definition of the fractional derivative we use the fractional extensions of the standard rotation group SO(3) to construct a higher dimensional representation of a fractional rotation group with mixed derivative types. An analytic extended symmetric rotor model is derived, which correctly predicts the sequence of magic numbers in metal clusters. It is demonstrated, that experimental data may be described by assuming a sudden change in the fractional derivative parameter α which is interpreted as a second order phase transition in the region of cluster size with 200≤N≤300.

Keywords: Perturbation and fractional calculus methods; Cluster models; Models based on group theory; Shell models; Exotic atoms and molecules; Electronic properties of clusters; Phase transitions in clusters (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:16:p:3307-3315

DOI: 10.1016/j.physa.2010.03.033

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