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101 0 $aeng
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181 $ctxt
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183 $acr
200 00$aEnergy localisation and transfer$b[electronic resource] /$feditors, Thierry Dauxois ... [et al.]
210 $aRiver Edge, NJ $cWorld Scientific$dc2004
215 $a1 online resource (428 p.)
225 1 $aAdvanced series in nonlinear dynamics ;$vv. 22
300 $aDescription based upon print version of record.
311 $a981-238-742-0
320 $aIncludes bibliographical references and index.
327 $aCONTENTS ; 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
327 $a3.3 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
327 $a5 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
327 $a7 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
327 $aCHAPTER 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
327 $a2.3 Neutron scattering techniques
330 $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.
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