Article
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The Entropic Potential of Events in Deterministic and Indeterministic Systems
Version 1
: Received: 11 May 2022 / Approved: 13 May 2022 / Online: 13 May 2022 (04:38:38 CEST)
How to cite: Zilberman, M. The Entropic Potential of Events in Deterministic and Indeterministic Systems. Preprints 2022, 2022050178. https://doi.org/10.20944/preprints202205.0178.v1 Zilberman, M. The Entropic Potential of Events in Deterministic and Indeterministic Systems. Preprints 2022, 2022050178. https://doi.org/10.20944/preprints202205.0178.v1
Abstract
This article analyses entropy changes triggered by specific events in deterministic and indeterministic systems. Article considers a simple model consisting of water in a cuvette, an ice cube in the device above the cuvette and a random number generator (RNG) that controls the probability of dropping the ice into water. Article introduces the entropic potential Z(T, A) of an event A occurred in a system R at the moment Т0, which describes the influence of the event A to the entropy of the system R in the future (for the moments T>Т0). The entropic potential of an event Z(T,A) can be calculated as the difference between the mathematical expectations of entropy of the system R for the moment T (T>Т0) made immediately before and immediately after the event A as Z(T, A) = ŜT(Т0+dT) - ŜT(Т0-dT). Article also presents examples of calculations of the entropic potentials of events in indeterministic systems with different probabilities of events. Since real-life systems are mostly indeterministic, the entropic potentials of events in real-life usually have non-zero values. The entropic potentials of the events "useful" for the system are negative, and entropic potentials of the events "harmful" for the system are positive.
Keywords
entropy; event; deterministic system; indeterministic system; entropic potential of an event
Subject
Physical Sciences, Thermodynamics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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