{"title":"分形动力学在薄膜和块体材料微结构演变中的作用","authors":"K. A. Padmanabhan, M. Ghanashyam Krishna","doi":"10.1557/s43578-024-01424-3","DOIUrl":null,"url":null,"abstract":"<p>Fractal (micro)-structures are observed in many thin films, bulk specimens and fractured samples. A phenomenon that leads to the formation of these structures in thin films is diffusion-limited aggregation. The assumption in diffusion-limited aggregation is that formation of such structures is independent of the source conditions and relies only on film-substrate interactions with requirement of single crystallinity in both cases. The possibilities of fractal structures occurring in amorphous or crystalline film-on-amorphous or crystalline substrate have received limited attention. However, results on sputter deposited transition metal nitride thin films show that these combinations can indeed lead to fractal structures such as dendrites and snowflakes. In this work we postulate that the formation of these microstructures is perhaps related and sensitive to the initial conditions provided for growth, which leads to a conclusion that perhaps chaos-related dynamics is at work. We believe that a new theoretical framework is required to explain these phenomena. An attempt to identify the knowns and the unknowns in this area is made using our results as well as some available in the literature.</p><h3 data-test=\"abstract-sub-heading\">Graphical abstract</h3>\n","PeriodicalId":16306,"journal":{"name":"Journal of Materials Research","volume":null,"pages":null},"PeriodicalIF":2.7000,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the role of fractals dynamics in the evolution of microstructures in thin films and bulk materials\",\"authors\":\"K. A. Padmanabhan, M. Ghanashyam Krishna\",\"doi\":\"10.1557/s43578-024-01424-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Fractal (micro)-structures are observed in many thin films, bulk specimens and fractured samples. A phenomenon that leads to the formation of these structures in thin films is diffusion-limited aggregation. The assumption in diffusion-limited aggregation is that formation of such structures is independent of the source conditions and relies only on film-substrate interactions with requirement of single crystallinity in both cases. The possibilities of fractal structures occurring in amorphous or crystalline film-on-amorphous or crystalline substrate have received limited attention. However, results on sputter deposited transition metal nitride thin films show that these combinations can indeed lead to fractal structures such as dendrites and snowflakes. In this work we postulate that the formation of these microstructures is perhaps related and sensitive to the initial conditions provided for growth, which leads to a conclusion that perhaps chaos-related dynamics is at work. We believe that a new theoretical framework is required to explain these phenomena. An attempt to identify the knowns and the unknowns in this area is made using our results as well as some available in the literature.</p><h3 data-test=\\\"abstract-sub-heading\\\">Graphical abstract</h3>\\n\",\"PeriodicalId\":16306,\"journal\":{\"name\":\"Journal of Materials Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.7000,\"publicationDate\":\"2024-08-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Materials Research\",\"FirstCategoryId\":\"88\",\"ListUrlMain\":\"https://doi.org/10.1557/s43578-024-01424-3\",\"RegionNum\":4,\"RegionCategory\":\"材料科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Materials Research","FirstCategoryId":"88","ListUrlMain":"https://doi.org/10.1557/s43578-024-01424-3","RegionNum":4,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
On the role of fractals dynamics in the evolution of microstructures in thin films and bulk materials
Fractal (micro)-structures are observed in many thin films, bulk specimens and fractured samples. A phenomenon that leads to the formation of these structures in thin films is diffusion-limited aggregation. The assumption in diffusion-limited aggregation is that formation of such structures is independent of the source conditions and relies only on film-substrate interactions with requirement of single crystallinity in both cases. The possibilities of fractal structures occurring in amorphous or crystalline film-on-amorphous or crystalline substrate have received limited attention. However, results on sputter deposited transition metal nitride thin films show that these combinations can indeed lead to fractal structures such as dendrites and snowflakes. In this work we postulate that the formation of these microstructures is perhaps related and sensitive to the initial conditions provided for growth, which leads to a conclusion that perhaps chaos-related dynamics is at work. We believe that a new theoretical framework is required to explain these phenomena. An attempt to identify the knowns and the unknowns in this area is made using our results as well as some available in the literature.
期刊介绍:
Journal of Materials Research (JMR) publishes the latest advances about the creation of new materials and materials with novel functionalities, fundamental understanding of processes that control the response of materials, and development of materials with significant performance improvements relative to state of the art materials. JMR welcomes papers that highlight novel processing techniques, the application and development of new analytical tools, and interpretation of fundamental materials science to achieve enhanced materials properties and uses. Materials research papers in the following topical areas are welcome.
• Novel materials discovery
• Electronic, photonic and magnetic materials
• Energy Conversion and storage materials
• New thermal and structural materials
• Soft materials
• Biomaterials and related topics
• Nanoscale science and technology
• Advances in materials characterization methods and techniques
• Computational materials science, modeling and theory