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Emergence of competition between different dissipative structures for the same free energy source

Emergence of competition between different dissipative structures for the same free energy source
Emergence of competition between different dissipative structures for the same free energy source
In this paper, we explore the emergence and direct interaction of two different types of dissipative structure in a single system: self-replicating chemical spot patterns and buoyancy-induced convection rolls. A new Lattice Boltzmann Model is developed, capable of simulating fluid flow, heat transport, and thermal chemical reactions, all within a simple, efficient framework. We report on a first set of simulations using this new model, wherein the Gray-Scott reaction diffusion system is embedded within a non isothermal fluid undergoing natural convection due to temperature gradients. The non-linear reaction which characterises the Gray-Scott system is given a temperature-dependent rate constant of the form of the Arrhenius equation. The enthalpy change (exothermic heat release or endothermic heat absorption) of the reaction can also be adjusted, allowing a direct coupling between the dynamics of the reaction and the thermal fluid flow.

The simulations show positive feedback effects when the reaction is exothermic, but an intriguing, competitive and unstable behaviour occurs when the reaction is sufficiently endothermic. In fact when convection plumes emerge and grow, the reaction diffusion spots immediately surround them, since they require a source of heat for the reaction to proceed. Then however, the proliferation of spot patterns dampens the local temperature, eventually eliminating the initial convection plume and reducing the ability of the spots to persist. This behaviour appears almost ecological, similar as it is, to competitive interactions between organisms competing for the same nutrient source.
415-422
MIT Press
Bartlett, Stuart
d6942368-4dbc-4111-bce0-1867f4c60a89
Bullock, Seth
2ad576e4-56b8-4f31-84e0-51bd0b7a1cd3
Andrews, Paul
Caves, Leo
Doursat, Rene
Hickinbotham, Simon
Polack, Fiona
Stepney, Susan
Taylor, Tim
Timmis, Jon
Bartlett, Stuart
d6942368-4dbc-4111-bce0-1867f4c60a89
Bullock, Seth
2ad576e4-56b8-4f31-84e0-51bd0b7a1cd3
Andrews, Paul
Caves, Leo
Doursat, Rene
Hickinbotham, Simon
Polack, Fiona
Stepney, Susan
Taylor, Tim
Timmis, Jon

Bartlett, Stuart and Bullock, Seth (2015) Emergence of competition between different dissipative structures for the same free energy source. Andrews, Paul, Caves, Leo, Doursat, Rene, Hickinbotham, Simon, Polack, Fiona, Stepney, Susan, Taylor, Tim and Timmis, Jon (eds.) In Advances in Artificial Life, ECAL 2015. MIT Press. pp. 415-422 .

Record type: Conference or Workshop Item (Paper)

Abstract

In this paper, we explore the emergence and direct interaction of two different types of dissipative structure in a single system: self-replicating chemical spot patterns and buoyancy-induced convection rolls. A new Lattice Boltzmann Model is developed, capable of simulating fluid flow, heat transport, and thermal chemical reactions, all within a simple, efficient framework. We report on a first set of simulations using this new model, wherein the Gray-Scott reaction diffusion system is embedded within a non isothermal fluid undergoing natural convection due to temperature gradients. The non-linear reaction which characterises the Gray-Scott system is given a temperature-dependent rate constant of the form of the Arrhenius equation. The enthalpy change (exothermic heat release or endothermic heat absorption) of the reaction can also be adjusted, allowing a direct coupling between the dynamics of the reaction and the thermal fluid flow.

The simulations show positive feedback effects when the reaction is exothermic, but an intriguing, competitive and unstable behaviour occurs when the reaction is sufficiently endothermic. In fact when convection plumes emerge and grow, the reaction diffusion spots immediately surround them, since they require a source of heat for the reaction to proceed. Then however, the proliferation of spot patterns dampens the local temperature, eventually eliminating the initial convection plume and reducing the ability of the spots to persist. This behaviour appears almost ecological, similar as it is, to competitive interactions between organisms competing for the same nutrient source.

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SJB_SB_ECAL_2015.pdf - Accepted Manuscript
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More information

Accepted/In Press date: 28 April 2015
Published date: July 2015
Venue - Dates: conference; 2015-04-28, 2015-04-28
Organisations: Agents, Interactions & Complexity

Identifiers

Local EPrints ID: 376656
URI: https://eprints.soton.ac.uk/id/eprint/376656
PURE UUID: e05aa3d1-2721-456d-a6ee-50cb1b540e34

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Date deposited: 18 May 2015 15:59
Last modified: 07 Sep 2017 16:36

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Contributors

Author: Stuart Bartlett
Author: Seth Bullock
Editor: Paul Andrews
Editor: Leo Caves
Editor: Rene Doursat
Editor: Simon Hickinbotham
Editor: Fiona Polack
Editor: Susan Stepney
Editor: Tim Taylor
Editor: Jon Timmis

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