Order from Randomness
Krzysztof Ma\'slanka (Polish Academy of Sciences) Jerzy Cis{\l}o, (Wroclaw University)
TL;DR
This paper analyzes a simple discrete process that begins with a random setup and evolves into an ordered, stable state, providing a complete analytical solution to understand this transition.
Contribution
It offers the first complete analytical solution to a process transforming randomness into order in a discrete system.
Findings
Demonstrates the process's evolution from randomness to order
Provides explicit analytical description of the transition
Shows stability of the final ordered state
Abstract
We consider an elementary discrete process which starts from purely random configuration and leads to well-ordered and stable state. Complete analytical solution to this problem is presented.
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Taxonomy
TopicsAdvanced Mathematical Theories · Advanced Mathematical Theories and Applications · Mathematics and Applications