ISSN:
1434-6036
Schlagwort(e):
PACS. 05.20.-y Classical statistical mechanics - 05.90.+m Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Physik
Notizen:
Abstract: To describe quantitatively the complexity of two-dimensional patterns we introduce a complexity measure based on a mean information gain. Two types of patterns are studied: geometric ornaments and patterns arising in random sequential adsorption of discs on a plane (RSA). For the geometric ornaments analytical expressions for entropy and complexity measures are presented, while for the RSA patterns these are calculated numerically. We compare the information-gain complexity measure with some alternative measures and show advantages of the former one, as applied to two-dimensional structures. Namely, this does not require knowledge of the “maximal” entropy of the pattern, and at the same time sensitively accounts for the inherent correlations in the system.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/s100510051157
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