Zagazig University Digital Repository
Home
Thesis & Publications
All Contents
Publications
Thesis
Graduation Projects
Research Area
Research Area Reports
Search by Research Area
Universities Thesis
ACADEMIC Links
ACADEMIC RESEARCH
Zagazig University Authors
Africa Research Statistics
Google Scholar
Research Gate
Researcher ID
CrossRef
Analysis of symmetry breaking in quartz blocks using superstatistical random-matrix theory
Faculty
Science
Year:
2012
Type of Publication:
Article
Pages:
3027-3032
Authors:
Mazen, S. A, Abul-Magd, A. Y, Abdel-Mageed, M
DOI:
10.1016/j.physa.2012.01.001
Journal:
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS ELSEVIER SCIENCE BV
Volume:
391
Research Area:
Physics
ISSN
ISI:000302423700001
Keywords :
Random-matrix theory, Superstatistics, Acoustic resonances, Chaos
Abstract:
We study the symmetry breaking of acoustic resonances measured by Ellegaard et al. (1996) {[}1] in quartz blocks. The observed resonance spectra show a gradual transition from a superposition of two uncoupled components, one for each symmetry realization, to a single component that is well represented by a Gaussian orthogonal ensemble (GOE) of random matrices. We discuss the applicability of superstatistical random-matrix theory to the final stages of the symmetry-breaking transition. A comparison is made between the formula from superstatistics and that from a previous work by Abd El-Hady et al. (2002) {[}7], which describes the same data by introducing a third GOE component. Our results suggest that the inverse chi-squared superstatistics could be used for studying the whole symmetry-breaking process. (C) 2012 Elsevier B.V. All rights reserved.
Online
PDF
جامعة المنصورة
جامعة الاسكندرية
جامعة القاهرة
جامعة سوهاج
جامعة الفيوم
جامعة بنها
جامعة دمياط
جامعة بورسعيد
جامعة حلوان
جامعة السويس
شراقوة
جامعة المنيا
جامعة دمنهور
جامعة المنوفية
جامعة أسوان
جامعة جنوب الوادى
جامعة قناة السويس
جامعة عين شمس
جامعة أسيوط
جامعة كفر الشيخ
جامعة السادات
جامعة طنطا
جامعة بنى سويف