Applications of statistical physics to mixing in microchannels: Entropy and multifractals

M. Kaufman; M. Camesasca; I. Manas-Zloczower; L. A. Dudik; C. Liu

doi:10.1007/978-1-4020-8903-9-45

Applications of statistical physics to mixing in microchannels: Entropy and multifractals

M. Kaufman, M. Camesasca, I. Manas-Zloczower, L. A. Dudik, C. Liu

材料科學與工程研究所

研究成果: 書貢獻/報告類型 › 篇章 › 同行評審

3 引文斯高帕斯（Scopus）

摘要

We apply rigorous measures of mixing based on entropy in conjunction with fractals to the field of microfluidics. First we determine the entropy and multifractal dimensions of images of mixing a fluorescent and a non-fluorescent fluid in a microchannel. We find the microstructures to be self-similar (fractals). Second we propose a new approach for patterning the walls of microchannels using the Weierstrass function. We have evidence from numerical simulations that by properly adjusting the dimension of the Weierstrass function one can get microfluidic devices that exhibit better mixing than the current ones.

原文	???core.languages.en_GB???
主出版物標題	Functionalized Nanoscale Materials, Devices and Systems
編輯	A. Vaseashta, I.N. Mihailescu
頁面	437-444
頁數	8
DOIs	https://doi.org/10.1007/978-1-4020-8903-9-45
出版狀態	已出版 - 2008

出版系列

名字	NATO Science for Peace and Security Series B: Physics and Biophysics
ISSN（列印）	1874-6500

存取文件

10.1007/978-1-4020-8903-9-45

引用此

Kaufman, M., Camesasca, M., Manas-Zloczower, I., Dudik, L. A., & Liu, C. (2008). Applications of statistical physics to mixing in microchannels: Entropy and multifractals. 於 A. Vaseashta, & I. N. Mihailescu (編輯), Functionalized Nanoscale Materials, Devices and Systems (頁 437-444). (NATO Science for Peace and Security Series B: Physics and Biophysics). https://doi.org/10.1007/978-1-4020-8903-9-45

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Kaufman, M, Camesasca, M, Manas-Zloczower, I, Dudik, LA & Liu, C 2008, Applications of statistical physics to mixing in microchannels: Entropy and multifractals. 於 A Vaseashta & IN Mihailescu (編輯), Functionalized Nanoscale Materials, Devices and Systems. NATO Science for Peace and Security Series B: Physics and Biophysics, 頁 437-444. https://doi.org/10.1007/978-1-4020-8903-9-45

Applications of statistical physics to mixing in microchannels: Entropy and multifractals. / Kaufman, M.; Camesasca, M.; Manas-Zloczower, I. 等.
Functionalized Nanoscale Materials, Devices and Systems. 編輯 / A. Vaseashta; I.N. Mihailescu. 2008. p. 437-444 (NATO Science for Peace and Security Series B: Physics and Biophysics).

研究成果: 書貢獻/報告類型 › 篇章 › 同行評審

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T1 - Applications of statistical physics to mixing in microchannels

T2 - Entropy and multifractals

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AU - Dudik, L. A.

AU - Liu, C.

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AB - We apply rigorous measures of mixing based on entropy in conjunction with fractals to the field of microfluidics. First we determine the entropy and multifractal dimensions of images of mixing a fluorescent and a non-fluorescent fluid in a microchannel. We find the microstructures to be self-similar (fractals). Second we propose a new approach for patterning the walls of microchannels using the Weierstrass function. We have evidence from numerical simulations that by properly adjusting the dimension of the Weierstrass function one can get microfluidic devices that exhibit better mixing than the current ones.

KW - Entropy

KW - Fractals

KW - Microfluidics

KW - Mixing

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SN - 9781402089022

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Kaufman M, Camesasca M, Manas-Zloczower I, Dudik LA, Liu C. Applications of statistical physics to mixing in microchannels: Entropy and multifractals. 於 Vaseashta A, Mihailescu IN, 編輯, Functionalized Nanoscale Materials, Devices and Systems. 2008. p. 437-444. (NATO Science for Peace and Security Series B: Physics and Biophysics). doi: 10.1007/978-1-4020-8903-9-45

Applications of statistical physics to mixing in microchannels: Entropy and multifractals

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