Literature DB >> 26802012

Extended source model for diffusive coupling.

Héctor O González-Ochoa1, Roberto Flores-Moreno2, Luz M Reyes3, Ricardo Femat4.   

Abstract

Motivated by the prevailing approach to diffusion coupling phenomena which considers point-like diffusing sources, we derived an analogous expression for the concentration rate of change of diffusively coupled extended containers. The proposed equation, together with expressions based on solutions to the diffusion equation, is intended to be applied to the numerical solution of systems exclusively composed of ordinary differential equations, however is able to account for effects due the finite size of the coupled sources.

Keywords:  Flowing Matter: Liquids and Complex Fluids

Mesh:

Year:  2016        PMID: 26802012     DOI: 10.1140/epje/i2016-16004-y

Source DB:  PubMed          Journal:  Eur Phys J E Soft Matter        ISSN: 1292-8941            Impact factor:   1.890


  15 in total

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2.  Noise-induced spatiotemporal dynamics in a linear array of excitable chemical oscillators.

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3.  Array-enhanced coherence resonance and phase synchronization in a two-dimensional array of excitable chemical oscillators.

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4.  Phase ordering in coupled noisy bistable systems on scale-free networks.

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5.  Diffusively coupled chemical oscillators in a microfluidic assembly.

Authors:  Masahiro Toiya; Vladimir K Vanag; Irving R Epstein
Journal:  Angew Chem Int Ed Engl       Date:  2008       Impact factor: 15.336

6.  Phase clusters in large populations of chemical oscillators.

Authors:  Annette F Taylor; Mark R Tinsley; Fang Wang; Kenneth Showalter
Journal:  Angew Chem Int Ed Engl       Date:  2011-05-03       Impact factor: 15.336

7.  Coupled chemical oscillators and emergent system properties.

Authors:  Irving R Epstein
Journal:  Chem Commun (Camb)       Date:  2014-09-25       Impact factor: 6.222

8.  Combined excitatory and inhibitory coupling in a 1-D array of Belousov-Zhabotinsky droplets.

Authors:  Ning Li; Jorge Delgado; Hector O González-Ochoa; Irving R Epstein; Seth Fraden
Journal:  Phys Chem Chem Phys       Date:  2014-06-14       Impact factor: 3.676

9.  Restoration of rhythmicity in diffusively coupled dynamical networks.

Authors:  Wei Zou; D V Senthilkumar; Raphael Nagao; István Z Kiss; Yang Tang; Aneta Koseska; Jinqiao Duan; Jürgen Kurths
Journal:  Nat Commun       Date:  2015-07-15       Impact factor: 14.919

10.  Fermat's principle of least time predicts refraction of ant trails at substrate borders.

Authors:  Jan Oettler; Volker S Schmid; Niko Zankl; Olivier Rey; Andreas Dress; Jürgen Heinze
Journal:  PLoS One       Date:  2013-03-20       Impact factor: 3.240

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