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.
Original language | English |
---|---|
Article number | 505002 |
Number of pages | 24 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 55 |
Issue number | 50 |
DOIs | |
Publication status | Published - 22 Dec 2022 |
Keywords
- model reduction
- Markov processes
- invariant manifold
- fluctuation-dissipation theorem