{"title":"电沉积枝晶中的信息","authors":"M. Kozicki","doi":"10.1080/23746149.2021.1920846","DOIUrl":null,"url":null,"abstract":"ABSTRACT Dendrites are structures that develop with a continuously branching tree-like form. Such patterns are found in many aspects of the natural world, which indicates the universality of their topology. This review presents an examination of dendritic structures, addressing their stochasticity and fractal character, and exploring their information content or more specifically their ability to provide a very large number of unique patterns that may be used as a novel form of item identification. A brief summary of fractals and their dimensionality is presented and applied to the well-known diffusion limited aggregate (DLA) dendritic construct. Dendrites formed by electrochemical ‘self-assembly’ are explored and examples given of their formation under different conditions. Stochastic variations in the self-similar Y-shaped symbol that underlies these fractals can carry information, leading to significant entropy, even though the structural entropy of the overall pattern is relatively small.","PeriodicalId":7374,"journal":{"name":"Advances in Physics: X","volume":" ","pages":""},"PeriodicalIF":7.7000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/23746149.2021.1920846","citationCount":"3","resultStr":"{\"title\":\"Information in electrodeposited dendrites\",\"authors\":\"M. Kozicki\",\"doi\":\"10.1080/23746149.2021.1920846\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"ABSTRACT Dendrites are structures that develop with a continuously branching tree-like form. Such patterns are found in many aspects of the natural world, which indicates the universality of their topology. This review presents an examination of dendritic structures, addressing their stochasticity and fractal character, and exploring their information content or more specifically their ability to provide a very large number of unique patterns that may be used as a novel form of item identification. A brief summary of fractals and their dimensionality is presented and applied to the well-known diffusion limited aggregate (DLA) dendritic construct. Dendrites formed by electrochemical ‘self-assembly’ are explored and examples given of their formation under different conditions. Stochastic variations in the self-similar Y-shaped symbol that underlies these fractals can carry information, leading to significant entropy, even though the structural entropy of the overall pattern is relatively small.\",\"PeriodicalId\":7374,\"journal\":{\"name\":\"Advances in Physics: X\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":7.7000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/23746149.2021.1920846\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Physics: X\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1080/23746149.2021.1920846\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Physics: X","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1080/23746149.2021.1920846","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
ABSTRACT Dendrites are structures that develop with a continuously branching tree-like form. Such patterns are found in many aspects of the natural world, which indicates the universality of their topology. This review presents an examination of dendritic structures, addressing their stochasticity and fractal character, and exploring their information content or more specifically their ability to provide a very large number of unique patterns that may be used as a novel form of item identification. A brief summary of fractals and their dimensionality is presented and applied to the well-known diffusion limited aggregate (DLA) dendritic construct. Dendrites formed by electrochemical ‘self-assembly’ are explored and examples given of their formation under different conditions. Stochastic variations in the self-similar Y-shaped symbol that underlies these fractals can carry information, leading to significant entropy, even though the structural entropy of the overall pattern is relatively small.
期刊介绍:
Advances in Physics: X is a fully open-access journal that promotes the centrality of physics and physical measurement to modern science and technology. Advances in Physics: X aims to demonstrate the interconnectivity of physics, meaning the intellectual relationships that exist between one branch of physics and another, as well as the influence of physics across (hence the “X”) traditional boundaries into other disciplines including:
Chemistry
Materials Science
Engineering
Biology
Medicine