Publication
Journal of Statistical Physics
Paper

The effect of screening on entropy production in pattern formation

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Abstract

Information theory is used to study the effects of screening on the rate of entropy production during pattern formation. Screening is an effect where the outermost parts of a growing fractal pattern influence the growth probability at interior sites. The results demonstrate that a state of maximum entropy production does exist for dynamical systems which generate patterns based on simple screening rules alone. This state corresponds to a critical point where the pattern exhibits self-similarity and fractal properties typical of random aggregates. Scaling occurs because the screening transmits information from the smallest to the largest scales of the system. © 1989 Plenum Publishing Corporation.

Date

01 Apr 1989

Publication

Journal of Statistical Physics

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