| EPSRC Reference: |
GR/L12325/01 |
| Title: |
TRANSITIONS IN SELF-ORGANISED CRITICAL SYSTEMS |
| Principal Investigator: |
Jensen, Professor H |
| Other Investigators: |
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| Department: |
Mathematics |
| Organisation: |
Imperial College London |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
05 October 1996 |
Ends: |
04 October 1999 |
Value (£): |
45,440
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Summary on Grant Application Form |
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It has been suggested that dynamical systems of many degrees of freedom have a tendency to organize themselves into a state with no length or time scale- SOC behaviour. Many models have been developed which indeed do behave in this way. Experimentally many different systems have been found to exhibit SOC-like behaviour. In contrast to the analytical expectations SOC behaviour have been found even in the absence of a conservation law for the dynamical variable. The nature of the SOC state is still not very well understood. The exact conditions needed for SOC to appear have not yet been established. We have found a simple model with an easily identified transition from SOC to non-SOC behaviour. This model enables us to study the conditions under which SOC can emerge. In addition we have a strong candidate (namely the branching ratio) for a quantity which can be used in a way analogous to the order parameter in equilibrium phase transitions. The generality of the behaviour of our specific model will be tested by use of renormalization group techniques as well as by numerical studies of different classes of models. The link to experiments will be established.
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Key Findings |
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.imperial.ac.uk |