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arXiv · 2209.13481

A reduction scheme for coupled Brownian harmonic oscillators

Matteo Colangeli·Manh Hong Duong·Adrian Muntean
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Abstract

We propose a reduction scheme for a system constituted by two coupled harmonically-bound Brownian oscillators. We reduce the description by constructing a lower dimensional model which inherits some of the basic features of the original dynamics and is written in terms of suitable transport coefficients. The proposed procedure is twofold: while the deterministic component of the dynamics is obtained by a direct application of the invariant manifold method, the diffusion terms are determined via the Fluctuation-Dissipation Theorem. We highlight the behavior of the coefficients up to a critical value of the coupling parameter, which marks the endpoint of the interval in which a contracted description is available. The study of the weak coupling regime is addressed and the commutativity of alternative reduction paths is also discussed.

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Matteo Colangeli, Manh Hong Duong, Adrian Muntean. 2022-09-27. A reduction scheme for coupled Brownian harmonic oscillators. https://doi.org/10.1088/1751-8121%2Facab41

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