Long Memory from Sauerbrey Equation : A Case in Coated Quartz Crystal Microbalance in terms of Ammonia

المؤلفون المشاركون

Li, Ming
Wang, Xiaohua
Chen, Sheng-yong

المصدر

Mathematical Problems in Engineering

العدد

المجلد 2011، العدد 2011 (31 ديسمبر/كانون الأول 2011)، ص ص. 1-9، 9ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2010-12-21

دولة النشر

مصر

عدد الصفحات

9

التخصصات الرئيسية

هندسة مدنية

الملخص 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.

نمط استشهاد جمعية علماء النفس الأمريكية (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

نمط استشهاد الجمعية الأمريكية للغات الحديثة (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

نمط استشهاد الجمعية الطبية الأمريكية (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

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-496412