Energy Localisation and Transfer.

This book provides an introduction to localised excitations in spatially discrete systems, from the experimental, numerical and mathematical points of view. Also known as discrete breathers, nonlinear lattice excitations and intrinsic localised modes, these are spatially localised time periodic moti...

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Bibliographic Details
Main Author: Dauxois, Thierry
Other Authors: Litvak-Hinenzon, Anna, MacKay, Robert, Spanoudaki, Anna
Format: eBook
Language:English
Published: Singapore : World Scientific Publishing Company, 2004.
Series:Advanced series in nonlinear dynamics.
Subjects:
Online Access:Click for online access

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100 1 |a Dauxois, Thierry. 
245 1 0 |a Energy Localisation and Transfer. 
260 |a Singapore :  |b World Scientific Publishing Company,  |c 2004. 
300 |a 1 online resource (428 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Advanced Series in Nonlinear Dynamics 
588 0 |a Print version record. 
520 |a This book provides an introduction to localised excitations in spatially discrete systems, from the experimental, numerical and mathematical points of view. Also known as discrete breathers, nonlinear lattice excitations and intrinsic localised modes, these are spatially localised time periodic motions in networks of dynamical units. Examples of such networks are molecular crystals, biomolecules, and arrays of Josephson superconducting junctions. The book also addresses the formation of discrete breathers and their potential role in energy transfer in such systems. Contents: Computational Stud. 
505 0 |a Preface ; CHAPTER 1 COMPUTATIONAL STUDIES OF DISCRETE BREATHERS ; 1 Introduction ; 2 A bit on numerics of solving ODEs ; 3 Observing and analyzing breathers in numerical runs ; 3.1 Targeted initial conditions ; 3.2 Breathers in transient processes. 
505 8 |a 3.3 Breathers in thermal equilibrium 4 Obtaining breathers up to machine precision: Part I ; 4.1 Method No. 1 -- designing a map ; 4.2 Method No. 2 -- saddles on the rim with space-time separation ; 4.3 Method No. 3 -- homoclinic orbits with time-space separation. 
505 8 |a 5 Obtaining breathers up to machine precision: Part II 5.1 Method No. 4 -- Newton in phase space ; 5.2 Method No. 5 -- steepest descent in phase space ; 5.3 Symmetries ; 6 Perturbing breathers ; 6.1 Linear stability analysis ; 6.2 Plane wave scattering. 
505 8 |a 7 Breathers in dissipative systems 7.1 Obtaining dissipative breathers ; 7.2 Perturbing dissipative breathers ; 8 Computing quantum breathers ; 8.1 The dimer ; 8.2 The trimer ; 8.3 Quantum roto-breathers ; 9 Some applications instead of conclusions ; Acknowledgments ; References. 
505 8 |a CHAPTER 2 VIBRATIONAL SPECTROSCOPY AND QUANTUM LOCALIZATION 1 Introduction ; 1.1 Nonlinear dynamics and energy localization ; 1.2 Nonlinear dynamics and vibrational spectroscopy ; 2 Vibrational spectroscopy techniques ; 2.1 Some definitions ; 2.2 Optical techniques. 
504 |a Includes bibliographical references and index. 
546 |a English. 
650 0 |a Energy transfer. 
650 0 |a Josephson junctions. 
650 0 |a Molecular dynamics. 
650 7 |a Energy transfer  |2 fast 
650 7 |a Josephson junctions  |2 fast 
650 7 |a Molecular dynamics  |2 fast 
700 1 |a Litvak-Hinenzon, Anna. 
700 1 |a MacKay, Robert. 
700 1 |a Spanoudaki, Anna. 
776 0 8 |i Print version:  |z 9789812387424 
830 0 |a Advanced series in nonlinear dynamics. 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=1679290  |y Click for online access 
903 |a EBC-AC 
994 |a 92  |b HCD