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Localization And Energy Transfer In Nonlinear Systems, Proceedings Of The Third Conference.

This conference was the third meeting organized in the framework of the European LOCNET project. The main topics discussed by this international research collaboration were localization by nonlinearity and spatial discreteness, and energy transfer (in crystals, biomolecules and Josephson arrays).

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Vzquez, Luis
Otros Autores: MacKay, Robert S., Zorzano, Mara Paz
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : World Scientific, 2003.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • Contents
  • Preface
  • A Non Adiabatic Theory for Ultrafast and Catalytic Transfer of Electrons at Low Temperature S. Aubry and G. Kopidakis
  • 1. Introduction-Standard Marcus theory of ET
  • 2. A Non-adiabatic Model for ET
  • 3. ET in the Dimer Model
  • 4. Principle of Catalytic ET in a trimer model
  • 4.1. Targeted Energy Transfer between nonlinear oscillators
  • 4.2. Targeted Transfer of Electron between donor and catalyst
  • 4.3. Ultrafast ET in the m m e r model
  • 5. Ultra Fast Electron Transfer in the Photosynthetic Reaction Center as an illustration
  • 6. Summary and Concluding Remarks
  • 6.1. Discussion on the effect of tempemture
  • 6.2. Summary
  • 6.3. Future Perspectives in Biochemistry
  • Acknowledgments
  • References
  • Collapse Control in an Inhomogeneous Nonlinear Schrodinger Equation Model P.L. Christiansen, Yu. B. Gaididei and B. Lemesurier
  • 1. Introduction
  • 2. Critical collapse in homogeneous media
  • 3. Collapse dynamics in the presence of attractive potential
  • 3.1. Numerical results
  • 3.2. Analytical approach
  • 4. Summary
  • ACKNOWLEDGMENTS
  • References
  • The Discrete Nonlinear Schrodinger Equation
  • 20 Years On J.C. Eilbeck and M. Johansson
  • 1. Introduction
  • 2. Stationary Solutions
  • 3. Disorder
  • 4. Mobile breathers
  • 5. Chaotic Solutions
  • 6. 2-dimensional DNLS lattices
  • 7. Quasiperiodic Breathers
  • 8. Wave Instabilities
  • 9. Breather Interactions
  • 10. Applications
  • 11. Conclusions
  • Acknowledgements
  • References
  • Experimental Studies and Theory of Nonlinear Rotational Dynamics in the Quantum Regime: The Interplay of Structure, Dynamics and Localization in Crystals F. Fillaux, B. Nicolai and A. Cousson
  • 1. Introduction
  • 2. The single methyl rotor
  • 2.1. INS spectra of oriented single crystals
  • 2.2. The density probability of methyl rotors
  • 2.2.1. Methyl rotors at low temperature
  • 2.2.2. Methyl rotors at room temperature
  • 3. Quantum rotational dynamics for pairs of coupled rotors
  • 3.1. A honey comb network in 2D of quantum rotors
  • 3.2. A phase transition induced by methyl deuteration
  • 3.3. The tunnelling spectrum
  • 3.4. The coupled pair model
  • 3.5. Symmetry adapted coordinates
  • 3.6. Isotope mixtures
  • 3.7. Coupling between pairs and phase transition mechanism
  • 4. Quantum rotational dynamics for infinite chains of coupled rotors
  • 4.1. The quantum sine-Gordon
  • 4.2. Breather dynamics in isotopic mixtures
  • 4.3. Discussion
  • 5 . Conclusions
  • References
  • Energy Barriers in Coupled Oscillators: From Discrete Kinks to Discrete Breathers J.A. Sepulchre
  • 1. Introduction
  • 2. Energy barrier in a single oscillator
  • 2.1. A single pendulum
  • 2.2. The sepamtnx
  • 2.3. Anharmonicity
  • 3. Peierls-Naborro potential in a chain of oscillators
  • 3.1. The Peierls-Nabarrw potential for kinks
  • 4. Energy barriers in a pair of pendula
  • 4.1. Periodic solutions of two coupled oscillators
  • 4.2. The 2-oscillator sphere
  • 4.3. Dynamics of relative variables
  • 4.4. Parametrising periodic solutions with their area
  • 5. Peierls-Nabarro potential for discrete breathers
  • Acknowledgments
  • Appendix
  • References
  • Phase Transitions in Homogeneous Biopolymers: Basic Concepts and Methods N. Theodorakopoulos
  • 1. Introduction
  • 2. Zippers and Loops
  • 2.1. Heli.