A solvable model for decoupling of interacting clusters

Artem G. Volosniev; Aksel S. Jensen; Nathan L. Harshman; Jeremy R. Armstrong; Nikolaj T. Zinner

doi:10.1209/0295-5075/125/20003

A solvable model for decoupling of interacting clusters

Artem G. Volosniev^*, Aksel S. Jensen, Nathan L. Harshman, Jeremy R. Armstrong, Nikolaj T. Zinner

^*Corresponding author af dette arbejde

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Letter › peer review

Abstract

We consider M clusters of interacting particles, whose in-group interactions are arbitrary, and inter-group interactions are approximated by oscillator potentials. We show that there are masses and frequencies that decouple the in-group and inter-group degrees of freedom, which reduces the initial problem to M independent problems that describe each of the relative in-group systems. The dynamics of the M center-of-mass coordinates is described by the analytically solvable problem of M coupled harmonic oscillators. This letter derives and discusses these decoupling conditions. Furthermore, to illustrate our findings, we consider a charged impurity interacting with a ring of ions. We argue that the impurity can be used to probe the center-of-mass dynamics of the ions.

Originalsprog	Engelsk
Artikelnummer	20003
Tidsskrift	EPL
Vol/bind	125
Nummer	2
Antal sider	7
ISSN	0295-5075
DOI	https://doi.org/10.1209/0295-5075/125/20003
Status	Udgivet - jan. 2019

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10.1209/0295-5075/125/20003

https://arxiv.org/pdf/1810.10281.pdf

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AU - Volosniev, Artem G.

AU - Jensen, Aksel S.

AU - Harshman, Nathan L.

AU - Armstrong, Jeremy R.

AU - Zinner, Nikolaj T.

PY - 2019/1

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N2 - We consider M clusters of interacting particles, whose in-group interactions are arbitrary, and inter-group interactions are approximated by oscillator potentials. We show that there are masses and frequencies that decouple the in-group and inter-group degrees of freedom, which reduces the initial problem to M independent problems that describe each of the relative in-group systems. The dynamics of the M center-of-mass coordinates is described by the analytically solvable problem of M coupled harmonic oscillators. This letter derives and discusses these decoupling conditions. Furthermore, to illustrate our findings, we consider a charged impurity interacting with a ring of ions. We argue that the impurity can be used to probe the center-of-mass dynamics of the ions.

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A solvable model for decoupling of interacting clusters

Abstract

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