Brusselator as a Reaction-Diffusion system

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Brusselator as a Reaction-Diffusion system

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dc.contributor.author Rajeev Singh
dc.date.accessioned 2009-09-24T11:35:06Z
dc.date.available 2009-09-24T11:35:06Z
dc.date.issued 2009-09-24T11:35:06Z
dc.date.submitted 2008
dc.identifier.uri http://hdl.handle.net/123456789/125
dc.description.abstract In this work the Brusselator model is studied, which is a minimal mathematical model, for chemical oscillations. The mean field analysis for the model and the traditional way of adding the effect of diffusion is reviewed. The mean field analysis does not capture the stochasticity which is present in any chemical system. The master equation for the brusselator system using the technique of second quantization method and numerical simulation is studied. The effective hamiltonian, and effective action for the brusselator system are derived. It is found that the effective action cannot be used to obtain the differential equation for the field by integration. The numerical simulation is carried out for various parameter values and a transition is found which is different from the transition in the mean-field analysis, for small system sizes observed. The effect of system size is qualitatively studied. Future directions for understanding non-equilibrium chemical phenomena at microscopic level is proposed. en_US
dc.publisher.publisher
dc.subject Chemical Oscillations en_US
dc.title Brusselator as a Reaction-Diffusion system en_US
dc.type.degree M.Sc en_US
dc.type.institution HBNI en_US
dc.description.advisor Rajesh, R.
dc.description.pages 84p. en_US
dc.type.mainsub Physics en_US

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