05179nam 22006974a 450 991045432690332120200520144314.01-281-93475-59786611934750981-279-486-7(CKB)1000000000537800(EBL)1679290(OCoLC)879023321(SSID)ssj0000147312(PQKBManifestationID)11147990(PQKBTitleCode)TC0000147312(PQKBWorkID)10011559(PQKB)11253353(MiAaPQ)EBC1679290(WSP)00005458(Au-PeEL)EBL1679290(CaPaEBR)ebr10255982(CaONFJC)MIL193475(EXLCZ)99100000000053780020040617d2004 uy 0engur|n|---|||||txtccrEnergy localisation and transfer[electronic resource] /editors, Thierry Dauxois ... [et al.]River Edge, NJ World Scientificc20041 online resource (428 p.)Advanced series in nonlinear dynamics ;v. 22Description based upon print version of record.981-238-742-0 Includes bibliographical references and index.CONTENTS ; 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 processes3.3 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 separation5 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 scattering7 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 ; ReferencesCHAPTER 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 techniques2.3 Neutron scattering techniques 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. <br><i>Contents:</i><ul><liAdvanced series in nonlinear dynamics ;v. 22.Energy transferMolecular dynamicsJosephson junctionsElectronic books.Energy transfer.Molecular dynamics.Josephson junctions.539/.6Dauxois T(Thierry),1967-67126MiAaPQMiAaPQMiAaPQBOOK9910454326903321Energy localisation and transfer2200985UNINA