Optimization of the composition in a composite material for microelectronics application using the Ising model
Abstract Tailored material is necessary in many industrial applications since material properties directly determine the characteristics of components. However, the conventional trial and error approach is costly and time-consuming. Therefore, materials informatics is expected to overcome these draw...
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2021
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oai:doaj.org-article:345c50dba10643d2bbda6bdc137254c62021-12-02T14:06:50ZOptimization of the composition in a composite material for microelectronics application using the Ising model10.1038/s41598-021-81243-22045-2322https://doaj.org/article/345c50dba10643d2bbda6bdc137254c62021-02-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-81243-2https://doaj.org/toc/2045-2322Abstract Tailored material is necessary in many industrial applications since material properties directly determine the characteristics of components. However, the conventional trial and error approach is costly and time-consuming. Therefore, materials informatics is expected to overcome these drawbacks. Here, we show a new materials informatics approach applying the Ising model for solving discrete combinatorial optimization problems. In this study, the composition of the composite, aimed at developing a heat sink with three necessary properties: high thermal dissipation, attachability to Si, and a low weight, is optimized. We formulate an energy function equation concerning three objective terms with regard to the thermal conductivity, thermal expansion and specific gravity, with the composition variable and two constrained terms with a quadratic unconstrained binary optimization style equivalent to the Ising model and calculated by a simulated annealing algorithm. The composite properties of the composition selected from ten constituents are verified by the empirical mixture rule of the composite. As a result, an optimized composition with high thermal conductivity, thermal expansion close to that of Si, and a low specific gravity is acquired.Yoshihiko ImanakaToshihisa AnazawaFumiaki KumasakaHideyuki JippoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-7 (2021) |
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Medicine R Science Q Yoshihiko Imanaka Toshihisa Anazawa Fumiaki Kumasaka Hideyuki Jippo Optimization of the composition in a composite material for microelectronics application using the Ising model |
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Abstract Tailored material is necessary in many industrial applications since material properties directly determine the characteristics of components. However, the conventional trial and error approach is costly and time-consuming. Therefore, materials informatics is expected to overcome these drawbacks. Here, we show a new materials informatics approach applying the Ising model for solving discrete combinatorial optimization problems. In this study, the composition of the composite, aimed at developing a heat sink with three necessary properties: high thermal dissipation, attachability to Si, and a low weight, is optimized. We formulate an energy function equation concerning three objective terms with regard to the thermal conductivity, thermal expansion and specific gravity, with the composition variable and two constrained terms with a quadratic unconstrained binary optimization style equivalent to the Ising model and calculated by a simulated annealing algorithm. The composite properties of the composition selected from ten constituents are verified by the empirical mixture rule of the composite. As a result, an optimized composition with high thermal conductivity, thermal expansion close to that of Si, and a low specific gravity is acquired. |
format |
article |
author |
Yoshihiko Imanaka Toshihisa Anazawa Fumiaki Kumasaka Hideyuki Jippo |
author_facet |
Yoshihiko Imanaka Toshihisa Anazawa Fumiaki Kumasaka Hideyuki Jippo |
author_sort |
Yoshihiko Imanaka |
title |
Optimization of the composition in a composite material for microelectronics application using the Ising model |
title_short |
Optimization of the composition in a composite material for microelectronics application using the Ising model |
title_full |
Optimization of the composition in a composite material for microelectronics application using the Ising model |
title_fullStr |
Optimization of the composition in a composite material for microelectronics application using the Ising model |
title_full_unstemmed |
Optimization of the composition in a composite material for microelectronics application using the Ising model |
title_sort |
optimization of the composition in a composite material for microelectronics application using the ising model |
publisher |
Nature Portfolio |
publishDate |
2021 |
url |
https://doaj.org/article/345c50dba10643d2bbda6bdc137254c6 |
work_keys_str_mv |
AT yoshihikoimanaka optimizationofthecompositioninacompositematerialformicroelectronicsapplicationusingtheisingmodel AT toshihisaanazawa optimizationofthecompositioninacompositematerialformicroelectronicsapplicationusingtheisingmodel AT fumiakikumasaka optimizationofthecompositioninacompositematerialformicroelectronicsapplicationusingtheisingmodel AT hideyukijippo optimizationofthecompositioninacompositematerialformicroelectronicsapplicationusingtheisingmodel |
_version_ |
1718391954461425664 |