Transport in a Stochastic Double Diffusivity Model

Amit Chattopadhyay; Elias Aifantis; Konstantinos Parisis; Avraam Konstantinidis

doi:10.1007/s11012-023-01686-x

Transport in a Stochastic Double Diffusivity Model

Amit Chattopadhyay, Elias Aifantis, Konstantinos Parisis, Avraam Konstantinidis

Research output: Contribution to journal › Article › peer-review

Abstract

A recent study analyzed the role of stochastic perturbations on the interface dynamics of two interacting species within a double-diffusivity framework, involving double diffusion models. The model relied on a restricted translation–reflection (TR) symmetry manifold, leading to a single variable description. The present study generalizes this model for a TR symmetry violating system that does not permit reduction to a single variable dynamics, leading to a hitherto unseen stochastic resonance (SR), a mechanism that indicates discrete, rather than a continuous, mode of energy transport. The SR exhibited by the model captures the signature fast transport observed in stochastically driven dynamics of nanopolycrystals, that previous deterministic models failed to emulate. We show that the speed of transfer relates to the strength of energy cross-correlations between the two diffusing species communicating through interface dynamics that eventually drives the energy throughput and identifies the role of stochasticity in nanopolycrystalline transport.

Original language	English
Pages (from-to)	1539–1553
Number of pages	15
Journal	Meccanica (Springer)
Volume	58
Issue number	8
Early online date	3 Aug 2023
DOIs	https://doi.org/10.1007/s11012-023-01686-x
Publication status	Published - 3 Aug 2023

Bibliographical note

This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Funding: The authors acknowledge financial support from the H2020-MSCA-RISE-2016 program, grant no. 734485 “Fracture Across Scales and Materials, Processes and Disciplines (FRAMED)”. The last author is grateful to the support of FAU through a Mercator Fellow arrangement

Keywords

Double diffusion
Interface dynamics
Nanopolycrystal
Stochastic

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10.1007/s11012-023-01686-xLicence: CC BY 4.0

Transport in a stochastic double diffusivity model
This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Final published version, 1.75 MBLicence: CC BY 4.0

Cite this

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Transport in a Stochastic Double Diffusivity Model

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