Abstract
Self-organizing systems present generally a critical value of the control parameter λc “below -which the system is in the disordered phase (below threshold) and above which the system goes into the ordered phase. The buildup of the ordered phase is triggered by a spontaneous fluctuation. From a mathematical point of view, one notes that the macroscopic dynamic equations for self-organizing systems are intrinsically homogeneous, i.e. ρ = 0 must be a solution (ρ is the order parameter). Therefore if the system is initially at ρ = 0, it stays there forever and no self-organization takes place unless a spontaneous fluctuation is occurring. The fluctuation may be originated by thermal noise, by quantum noise (e.g., from the spontaneous emission of light), or by external disturbances.
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Degiorgio, V. (1982). Instabilities and Fluctuations. In: Riste, T. (eds) Nonlinear Phenomena at Phase Transitions and Instabilities. NATO Advanced Study Institutes Series, vol 77. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-4127-7_11
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DOI: https://doi.org/10.1007/978-1-4684-4127-7_11
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