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Generalized Nonlinear Fluctuation-Dissipation Relation for the One-Component Plasma

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An Erratum to this article was published on 01 February 2016

Abstract

We present a novel procedure leading to compact and tractable cubic \((p=3)\) and quartic \((p=4)\) scalar fluctuation-dissipation relations for the classical one-component plasma subjected to a weak external Coulombic perturbation; there is no external magnetic field. The ultimate goal here is to establish a generalized nonlinear fluctuation-dissipation relation in which a single \((p+1)\)-point dynamical structure function is expressed as a linear combination of pth-order external density response functions. When cast in this form, such an architecture, by definition, is invariant with respect to rotation on the (\(p+1\))-sided polygon formed by the wave vector-frequency arguments of the dynamical structure function. The application of this rotation symmetry to suppress unphysical isolated singularities is a basic ingredient of the derivation.

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Author notes

  1. Joshuah T. Heath

    Present address: Department of Physics, Boston College, Chestnut Hill, MA, USA

Authors and Affiliations

  1. Department of Mathematics and Statistics and Department of Physics, University of Vermont, Burlington, VT, USA

    Kenneth I. Golden & Joshuah T. Heath

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  1. Kenneth I. Golden
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  2. Joshuah T. Heath
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Correspondence to Kenneth I. Golden.

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Golden, K.I., Heath, J.T. Generalized Nonlinear Fluctuation-Dissipation Relation for the One-Component Plasma. J Stat Phys 162, 199–217 (2016). https://doi.org/10.1007/s10955-015-1395-6

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