| Description |
1 online resource (xvii, 409 pages) : illustrations (some color). |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Advanced series in nonlinear dynamics ; v. 22
|
|
Advanced series in nonlinear dynamics ; v. 22.
|
| Bibliography |
Includes bibliographical references and index. |
| Summary |
Annotation 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 |
Ch. 1. Computational studies of discrete breathers. 1. Introduction. 2. A bit on numerics of solving ODEs. 3. Observing and analyzing breathers in numerical runs. 4. Obtaining breathers up to machine precision: Part I. 5. Obtaining breathers up to machine precision: Part II. 6. Perturbing breathers. 7. Breathers in dissipative systems. 8. Computing quantum breathers. 9. Some applications instead of conclusions -- ch. 2. Vibrational spectroscopy and quantum localization. 1. Introduction. 2. Vibrational spectroscopy techniques. 3. Molecular vibrations. 4. Crystals. 5. Conclusion -- ch. 3. Slow manifolds. 1. Introduction. 2. Normally hyperbolic versus general case. 3. Hamiltonian versus general case. 4. Improving a slow manifold. 5. Symplectic slow manifolds. 6. The methods of collective coordinates. 7. Velocity splitting. 8. Poisson slow manifolds. 9. Slow manifolds with internal oscillation. 10. Internal oscillation: U(l)-symmetric Hamiltonians. 11. Internal oscillation: general Hamiltonians. 12. Bounds on time evolution. 13. Weak damping -- ch. 4. Localized excitations in Josephson arrays. Part I: theory and modeling. 1. Introduction. 2. The single Josephson junction. 3. Modeling Josephson arrays. 4. Localized excitations in Josephson arrays: vortices and kinks. 5. Discrete breathers in Josephson arrays -- ch. 5. Localized excitations in Josephson arrays. Part II: experiments. 1. Introduction. 2. Fabrication of Josephson arrays. 3. Measurement techniques. 4. Experiments in the classical regime. 5. Experiments in the quantum regime. 6. Conclusions and outlook -- ch. 6. Protein functional dynamics: computational approaches. 1. Introduction. 2. Protein structure. 3. Energetics of protein stabilisation. 4. Protein folding. 5. Protein conformational changes. 6. Dissipation of energy in proteins. 7. Conclusion -- ch. 7. Nonlinear vibrational spectroscopy: a method to study vibrational self-trapping. 1. Introduction: the story of Davidov's soliton. 2. Nonlinear spectroscopy of vibrational modes. 3. Proteins and vibrational excitons. 4. Hydrogen bonds and anharmonicity. 5. Vibrational self-trapping. 6. Conclusion and outlook -- ch. 8. Breathers in biomolecules? 1. Introduction. 2. Classical vibrations. 3. Quantum self-trapping. 4. Discussion -- ch. 9. Statistical physics of localized vibrations. 1. Introduction/outlook. 2. Thermal DNA denaturation: a domain-wall driven transition? 3. ILMs in DNA dynamics? 4. Helix formation and melting in polypeptides -- ch. 10. Localization and targeted transfer of atomic-scale nonlinear excitations: perspectives for applications. 1. Introduction. 2. Discrete breathers. 3. Targeted energy transfer. 4. Ultrafast electron transfer. 5. Conclusions and perspectives. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Energy transfer.
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Energy transfer. |
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Molecular dynamics.
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Molecular dynamics. |
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Josephson junctions.
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Josephson junctions. |
| Genre/Form |
Electronic books.
|
| Added Author |
Dauxois, T. (Thierry), 1967-
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| Other Form: |
Print version: Energy localisation and transfer. River Edge, NJ : World Scientific, ©2004 (DLC) 2004274890 |
| ISBN |
9789812794864 (electronic book) |
|
9812794867 (electronic book) |
|
9789812387424 |
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9812387420 |
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9812387420 |
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