A solvable model for decoupling of interacting clusters

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

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Article number20003
JournalEPL
Volume125
Issue number2
DOIs
StatePublished - Jan 1 2019

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decoupling
center of mass
impurities
harmonic oscillators
ions
degrees of freedom
oscillators
interactions
probes
rings

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Volosniev, A. G., Jensen, A. S., Harshman, N. L., Armstrong, J. R., & Zinner, N. T. (2019). A solvable model for decoupling of interacting clusters. EPL, 125(2), [20003]. https://doi.org/10.1209/0295-5075/125/20003

A solvable model for decoupling of interacting clusters. / Volosniev, Artem G.; Jensen, Aksel S.; Harshman, Nathan L.; Armstrong, Jeremy R.; Zinner, Nikolaj T.

In: EPL, Vol. 125, No. 2, 20003, 01.01.2019.

Research output: Contribution to journalArticle

Volosniev, AG, Jensen, AS, Harshman, NL, Armstrong, JR & Zinner, NT 2019, 'A solvable model for decoupling of interacting clusters', EPL, vol. 125, no. 2, 20003. https://doi.org/10.1209/0295-5075/125/20003
Volosniev AG, Jensen AS, Harshman NL, Armstrong JR, Zinner NT. A solvable model for decoupling of interacting clusters. EPL. 2019 Jan 1;125(2). 20003. https://doi.org/10.1209/0295-5075/125/20003
Volosniev, Artem G. ; Jensen, Aksel S. ; Harshman, Nathan L. ; Armstrong, Jeremy R. ; Zinner, Nikolaj T. / A solvable model for decoupling of interacting clusters. In: EPL. 2019 ; Vol. 125, No. 2.
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