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Finite Dust Clusters

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Physics of Dusty Plasmas

Part of the book series: Lecture Notes in Physics ((LNP,volume 962))

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Abstract

Now, collective effects in finite systems are discussed. Finite systems are particularly appealing because of the interplay between the electrostatic repulsion among the particles and the confinement due to an external potential. This interplay determines the structure of a cluster and also its dynamics. Structure and dynamics dramatically depend on the exact particle number and the formation of highly symmetric configurations with magic particle numbers is observed. Finally, also phase transitions in these finite systems are presented and analyzed.

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Notes

  1. 1.

    This is easily seen from a simple analogy: Starting from the equation of motion for a simple spring

    $$\displaystyle \begin{aligned} m\ddot{x}=-kx \quad \to -\omega^2x=-(k/m)x \end{aligned}$$

    assuming an oscillatory solution \(x\to x\exp (-\mathrm{i} \omega t)\). Now, for the many-particle case k∕m is replaced by the second derivatives, i.e the dynamical matrix A, and x becomes the vector of particle positions in x, y.

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Authors and Affiliations

  1. Institut für Physik, Universität Greifswald, Greifswald, Germany

    André Melzer

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  1. André Melzer
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Melzer, A. (2019). Finite Dust Clusters. In: Physics of Dusty Plasmas. Lecture Notes in Physics, vol 962. Springer, Cham. https://doi.org/10.1007/978-3-030-20260-6_8

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