Universality in the Vibrational Spectra of Amorphous Systems

Gurpreet Singh Matharoo

ISBN 10: 3845418621 / ISBN 13: 9783845418629

Published by LAP LAMBERT Academic Publishing Jul 2011, 2011

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -Extensive numerical computations on the vibrational spectra of amorphous clusters and bulk amorphous systems are performed. Inherent structures are generated for both the systems. For each inherent structure, the vibrational spectra is calculated using standard techniques. For amorphous clusters, we find that over a large central region of the vibrational spectrum, the integrated density of states can be described by the same functional form, containing only one scale of frequency in all the cases and the spectral fluctuations are described by the Gaussian orthogonal ensemble of the Random matrices to an extra ordinarily high degree of accuracy.For bulk amorphous systems, at constant pressure, using techniques of Monte Carlo simulations and the Conjugate gradient method of minimization we demonstrate the change in nature of the vibrational spectrum as one goes from crystalline state to completely amorphous states and there are indeed certain limiting conditions in which the normalized density of states assume a universal shape over the entire spectrum.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 104 pp. Englisch.

Seller Inventory # 9783845418629

Bibliographic Details

• Title: Universality in the Vibrational Spectra of Amorphous Systems
• Publisher: LAP LAMBERT Academic Publishing Jul 2011
• Publication Date: 2011
• Language: English
• ISBN 10: 3845418621
• ISBN 13: 9783845418629
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 7D millimeters 220 millimeters width by 150 millimeters height by 7 millimeters depth
• Weight: 173 grams

About this title

Synopsis

Extensive numerical computations on the vibrational spectra of amorphous clusters and bulk amorphous systems are performed. Inherent structures are generated for both the systems. For each inherent structure, the vibrational spectra is calculated using standard techniques. For amorphous clusters, we find that over a large central region of the vibrational spectrum, the integrated density of states can be described by the same functional form, containing only one scale of frequency in all the cases and the spectral fluctuations are described by the Gaussian orthogonal ensemble of the Random matrices to an extra ordinarily high degree of accuracy.For bulk amorphous systems, at constant pressure, using techniques of Monte Carlo simulations and the Conjugate gradient method of minimization we demonstrate the change in nature of the vibrational spectrum as one goes from crystalline state to completely amorphous states and there are indeed certain limiting conditions in which the normalized density of states assume a universal shape over the entire spectrum.

About the Author

The author studied the universal aspects of vibrational spectra for his Ph.D. at Jawaharlal Nehru University, New Delhi, India. He is presently a Research Scientist at the Department of Earth Sciences, St. Francis Xavier University in Nova Scotia, Canada where he extensively uses the numerical techniques and methods described in the present work