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Long Memory from Sauerbrey Equation : A Case in Coated Quartz Crystal Microbalance in terms of Ammonia
Joint Authors
Li, Ming
Wang, Xiaohua
Chen, Sheng-yong
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-21
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The Sauerbrey equation is a useful empirical model in material science to represent the dynamics of frequency change denoted by Δf in an area, denoted by A, of the electrode in terms of the increment of the mass, which is denoted by Δm, loaded on the surface of the crystal under a certain resonant frequency f0.
For the purpose of studying Δf from the point of view of time series, we first propose two types of the modified representations of the Sauerbrey equation by taking time as an argument to represent Δf as a function expressed by x(t,f0,A,Δm), where t is time.
Usually, Δf is studied experimentally for the performance evaluation of the tested quartz used in ammonia sensors.
Its properties in time series, however, are rarely reported.
This paper presents the fractal properties of Δf.
We will show that Δf is long range dependent (LRD).
Consequently, it is heavy tailed according to the Taqqu's theorem.
The Hurst parameter (H) of Δf approaches one, implying its strong long memory, providing a new explanation of the repeatability of the experiments and novel point of view of the dynamics of Δf relating to the Sauerbrey equation in material science.
American Psychological Association (APA)
Wang, Xiaohua& Li, Ming& Chen, Sheng-yong. 2010. Long Memory from Sauerbrey Equation : A Case in Coated Quartz Crystal Microbalance in terms of Ammonia. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-496412
Modern Language Association (MLA)
Wang, Xiaohua…[et al.]. Long Memory from Sauerbrey Equation : A Case in Coated Quartz Crystal Microbalance in terms of Ammonia. Mathematical Problems in Engineering No. 2011 (2011), pp.1-9.
https://search.emarefa.net/detail/BIM-496412
American Medical Association (AMA)
Wang, Xiaohua& Li, Ming& Chen, Sheng-yong. Long Memory from Sauerbrey Equation : A Case in Coated Quartz Crystal Microbalance in terms of Ammonia. Mathematical Problems in Engineering. 2010. Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-496412
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496412