Action-Amplitude Approach to Controlled Entropic Self-Organization

Action-Amplitude Approach to Controlled Entropic Self-Organization

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 partiti...

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Bibliographic Details
Main Authors: Vladimir Ivancevic, Darryn Reid, Jason Scholz
Format: Article
Language:English
Published: MDPI AG 2014-05-01
Series:Entropy
Subjects:
controlled self-organization
entropy
path integrals
Kähler–Ricci flow
Fokker–Planck equation
computer simulation
Online Access:http://www.mdpi.com/1099-4300/16/5/2699
Description
Summary: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.
ISSN:1099-4300

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