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Entropy 2014, 16(5), 2699-2712; doi:10.3390/e16052699

Action-Amplitude Approach to Controlled Entropic Self-Organization

* ,
Command and Control, Joint & Operations Analysis Division, Defence Science & TechnologyOrganisation, Adelaide SA 5111, Australia
* Author to whom correspondence should be addressed.
Received: 25 January 2014 / Accepted: 12 May 2014 / Published: 14 May 2014
(This article belongs to the Special Issue Entropy Methods in Guided Self-Organization)
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Motivated by the notion of perceptual error, as a core concept of the perceptual control theory, we propose an action-amplitude model for controlled entropic self-organization (CESO). We present several aspects of this development that illustrate its explanatory power: (i) a physical view of partition functions and path integrals, as well as entropy and phase transitions; (ii) a global view of functional compositions and commutative diagrams; (iii) a local geometric view of the Kähler–Ricci flow and time-evolution of entropic action; and (iv) a computational view using various path-integral approximations.
Keywords: controlled self-organization; entropy; path integrals; Kähler–Ricci flow; Fokker–Planck equation; computer simulation controlled self-organization; entropy; path integrals; Kähler–Ricci flow; Fokker–Planck equation; computer simulation
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Ivancevic, V.; Reid, D.; Scholz, J. Action-Amplitude Approach to Controlled Entropic Self-Organization. Entropy 2014, 16, 2699-2712.

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