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A reduction scheme ...
A reduction scheme for coupled Brownian harmonic oscillators
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- Colangeli, Matteo (författare)
- University of L'Aquila, ITA
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- Duong, Manh Hong (författare)
- University of Birmingham, GBR
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- Muntean, Adrian, 1974- (författare)
- Karlstads universitet,Institutionen för matematik och datavetenskap (from 2013)
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(creator_code:org_t)
- 2022-12-22
- 2022
- Engelska.
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Ingår i: Journal of Physics A. - : Institute of Physics Publishing (IOPP). - 1751-8113 .- 1751-8121. ; 55:50
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- model reduction
- Markov processes
- invariant manifold
- fluctuation-dissipation theorem
- Matematik
- Mathematics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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