{"title":"结盟游戏:多物种的集体行为","authors":"Siming He , Eitan Tadmor","doi":"10.1016/j.anihpc.2020.10.003","DOIUrl":null,"url":null,"abstract":"<div><p>We study the (hydro-)dynamics of multi-species driven by alignment. What distinguishes the different species is the protocol of their interaction with the rest of the crowd: the collective motion is described by different <em>communication kernels</em>, <span><math><msub><mrow><mi>ϕ</mi></mrow><mrow><mi>α</mi><mi>β</mi></mrow></msub></math></span>, between the crowds in species <em>α</em> and <em>β</em>. We show that flocking of the overall crowd emerges provided the communication array between species forms a <span><em>connected graph</em></span>. In particular, the crowd within each species need <em>not</em> interact with its own kind, i.e., <span><math><msub><mrow><mi>ϕ</mi></mrow><mrow><mi>α</mi><mi>α</mi></mrow></msub><mo>=</mo><mn>0</mn></math></span>; different species which are engaged in such ‘game’ of alignment require a connecting path for propagation of information which will lead to the flocking of overall crowd. The same methodology applies to multi-species aggregation dynamics governed by first-order alignment: connectivity implies concentration around an emerging consensus.</p></div>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.anihpc.2020.10.003","citationCount":"13","resultStr":"{\"title\":\"A game of alignment: Collective behavior of multi-species\",\"authors\":\"Siming He , Eitan Tadmor\",\"doi\":\"10.1016/j.anihpc.2020.10.003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We study the (hydro-)dynamics of multi-species driven by alignment. What distinguishes the different species is the protocol of their interaction with the rest of the crowd: the collective motion is described by different <em>communication kernels</em>, <span><math><msub><mrow><mi>ϕ</mi></mrow><mrow><mi>α</mi><mi>β</mi></mrow></msub></math></span>, between the crowds in species <em>α</em> and <em>β</em>. We show that flocking of the overall crowd emerges provided the communication array between species forms a <span><em>connected graph</em></span>. In particular, the crowd within each species need <em>not</em> interact with its own kind, i.e., <span><math><msub><mrow><mi>ϕ</mi></mrow><mrow><mi>α</mi><mi>α</mi></mrow></msub><mo>=</mo><mn>0</mn></math></span>; different species which are engaged in such ‘game’ of alignment require a connecting path for propagation of information which will lead to the flocking of overall crowd. The same methodology applies to multi-species aggregation dynamics governed by first-order alignment: connectivity implies concentration around an emerging consensus.</p></div>\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2021-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.anihpc.2020.10.003\",\"citationCount\":\"13\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0294144920301074\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0294144920301074","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
A game of alignment: Collective behavior of multi-species
We study the (hydro-)dynamics of multi-species driven by alignment. What distinguishes the different species is the protocol of their interaction with the rest of the crowd: the collective motion is described by different communication kernels, , between the crowds in species α and β. We show that flocking of the overall crowd emerges provided the communication array between species forms a connected graph. In particular, the crowd within each species need not interact with its own kind, i.e., ; different species which are engaged in such ‘game’ of alignment require a connecting path for propagation of information which will lead to the flocking of overall crowd. The same methodology applies to multi-species aggregation dynamics governed by first-order alignment: connectivity implies concentration around an emerging consensus.
期刊介绍：
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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