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Sökning: WFRF:(Duong Manh Hong)

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1.
  • Colangeli, Matteo, et al. (författare)
  • A reduction scheme for coupled Brownian harmonic oscillators
  • 2022
  • Ingår i: Journal of Physics A. - : Institute of Physics Publishing (IOPP). - 1751-8113 .- 1751-8121. ; 55:50
  • Tidskriftsartikel (refereegranskat)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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2.
  • Colangeli, Matteo, et al. (författare)
  • Model reduction of Brownian oscillators : Quantification of errors and long-time behaviour
  • 2023
  • Ingår i: Journal of Physics A. - : Institute of Physics (IOP). - 1751-8113 .- 1751-8121. ; 56
  • Tidskriftsartikel (refereegranskat)abstract
    • A procedure for model reduction of stochastic ordinary differential equations with additive noise was recently introduced in Colangeli et al (2022 J. Phys. A: Math. Theor.55 505002), based on the Invariant Manifold method and on the Fluctuation–Dissipation relation. A general question thus arises as to whether one can rigorously quantify the error entailed by the use of the reduced dynamics in place of the original one. In this work we provide explicit formulae and estimates of the error in terms of the Wasserstein distance, both in the presence or in the absence of a sharp time-scale separation between the variables to be retained or eliminated from the description, as well as in the long-time behavior.
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  • Resultat 1-2 av 2
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tidskriftsartikel (2)
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refereegranskat (2)
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Muntean, Adrian, 197 ... (2)
Colangeli, Matteo (2)
Duong, Manh Hong (2)
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Karlstads universitet (2)
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Engelska (2)
Forskningsämne (UKÄ/SCB)
Naturvetenskap (2)

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