Brusselator as a Reaction-Diffusion system (Record no. 48814)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01585nam a2200217Ia 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160627s2008||||xx |||||||||||||| ||und|| |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Rajeev Singh |
| Relator term | author |
| 245 ## - TITLE STATEMENT | |
| Title | Brusselator as a Reaction-Diffusion system |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Year of publication | 2008 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 84p. |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | 2008 |
| 502 ## - DISSERTATION NOTE | |
| Degree Type | M.Sc |
| 502 ## - DISSERTATION NOTE | |
| Name of granting institution | HBNI |
| 520 3# - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Physics |
| 653 10 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Chemical Oscillations |
| 720 1# - ADDED ENTRY--UNCONTROLLED NAME | |
| Thesis Advisor | Rajesh, R. |
| Relator term | Thesis advisor [ths] |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://www.imsc.res.in/xmlui/handle/123456789/125 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | THESIS & DISSERTATION |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|
| IMSc Library | http://www.imsc.res.in/xmlui/handle/123456789/125 | THESIS & DISSERTATION |