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Event-driven power-law relaxation in weak turbulence: A liquid crystals mesoscopic experiment bridging quantum dots and the integration theory for the brain
Author(s) -
Ludovico Silvestri,
Leone Fronzoni,
Angelo Gemignani,
Paolo Grigolini,
Danilo Menicucci,
Paolo Allegrini
Publication year - 2009
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/174/1/012070
Subject(s) - mesoscopic physics , bridging (networking) , turbulence , quantum dot , nanowire , physics , event (particle physics) , condensed matter physics , quantum mechanics , statistical physics , computer science , mechanics , computer network
We illustrate a theoretical approach to derive generalized master equations, in both quantum and classical physics, compatible with the occurrence of crucial events. We show how to derive out of it a new Fluctuation-Dissipation Theorem (FDT), called phenomenological FDT. We fail deriving from the same approach another FDT form, called dynamic FDT, which is proved by us to drive the response of liquid crystals to external perturbations. We argue that this experimental effect is incompatible with the adoption of a density approach, in the same way as the decoherence theory fails explaining the wave function collapse, if this corresponds to crucial events. We also argue that the same perspective applies to the brain, according to the tenets of the integration theory of consciousness

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