Self-Organised Criticality: Difference between revisions

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Self-Organised Criticality (SOC) is a generic concept, applicable to a host of complex systems
Self-Organised Criticality (SOC) is a generic concept, applicable to a host of complex systems
<ref>[http://en.wikipedia.org/wiki/Self-organised_criticality Self-Organised Ciriticality in the Wikipedia]</ref>.
<ref>[http://en.wikipedia.org/wiki/Self-organised_criticality Self-Organised Ciriticality in the Wikipedia]</ref>.
A system is said to be in this state when it is at an attractive critical point at which it behaves as in a phase transition (i.e., the spatial and temporal scales are scale-invariant, or nearly so).
A system is said to be in this state when it is at an ''attractive'' critical point at which it behaves as in a phase transition (i.e., the spatial and temporal scales are scale-invariant, or nearly so).
Note that ordinary phase transitions are not attractive, and maintaining the system near such a phase transition point requires fine-tuning some system parameters.
SOC is different in that the system is attracted to the critical point.
This situation can only occur in systems that are ''not in equilibrium'', in which fluctuations provide a mechanism for regulating the system and keeping it close to criticality.  


In magnetically confined plasmas, this state is thought to be responsible for the global transport phenomena of ''profile consistency'', the ''Bohm scaling'' of confinement (in L-mode)
In magnetically confined plasmas, this state is thought to be responsible for the global transport phenomena of ''profile consistency'', the ''Bohm scaling'' of confinement (in L-mode)