Entropy Processing Theory: Analysis of Self-Organization Mechanisms in Non-Equilibrium Systems Based on Entropy Processing Theory

This study presents the first explicit and systematic formulation of a general theory encompassing any form of entropy reduction and any process of imposing order on disorder, characterized by internal consistency and extensive generalizability. The principles and coordinates of the Entropy Processing Theory are introduced herein to examine any entropy reduction and any ordering of disorder. This research posits that all self-organization mechanisms in non-equilibrium systems are essentially processing operations—or intertwined ensembles of such operations—that conform to the principles and coordinates of the Entropy Processing Theory. In this investigation, three self-organization mechanisms in non-equilibrium systems (Rayleigh-B´enard cells, Marangoni patterns, and Turing patterns) are analyzed based on the Entropy Processing Theory. The analysis addresses the conditions required for the emergence of gradients to establish the substrate for processing, along with the factors influencing those gradients or the diverse gradients of the particles undergoing processing. Additionally, it examines the manner in which the non-equilibrium system is processed by the processor, as well as the factors affecting the processor or various processors, for each of the three aforementioned self-organization mechanisms in non-equilibrium systems.