Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/317
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Head, DA | - |
dc.contributor.author | Rodgers, GJ | - |
dc.coverage.spatial | 8 | en |
dc.date.accessioned | 2006-10-30T12:37:53Z | - |
dc.date.available | 2006-10-30T12:37:53Z | - |
dc.date.issued | 1998 | - |
dc.identifier.citation | J. Phys. A: Math. Gen. 31: 3977-3988 | en |
dc.identifier.uri | http://www.iop.org/EJ/abstract/0305-4470/31/17/008 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/317 | - |
dc.description.abstract | The Bak-Sneppen model is shown to fall into a different universality class with the introduction of a preferred direction, mirroring the situation in spin systems. This is first demonstrated by numerical simulations and subsequently confirmed by analysis of the multitrait version of the model, which admits exact solutions in the extremes of zero and maximal anisotropy. For intermediate anisotropies, we show that the spatiotemporal evolution of the avalanche has a power law `tail' which passes through the system for any non-zero anisotropy but remains fixed for the isotropic case, thus explaining the crossover in behaviour. Finally, we identify the maximally anisotropic model which is more tractable and yet more generally applicable than the isotropic system. | en |
dc.format.extent | 410066 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Institute of Physics and IOP Publishing Limited | en |
dc.subject | Statistical mechanics | en |
dc.title | The Anisotropic Bak-Sneppen model | en |
dc.type | Research Paper | en |
Appears in Collections: | Mathematical Physics Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
The Anisotropic.pdf | 400.46 kB | Adobe PDF | View/Open |
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.