LEADER 05179nam 22006974a 450 001 9910454326903321 005 20200520144314.0 010 $a1-281-93475-5 010 $a9786611934750 010 $a981-279-486-7 035 $a(CKB)1000000000537800 035 $a(EBL)1679290 035 $a(OCoLC)879023321 035 $a(SSID)ssj0000147312 035 $a(PQKBManifestationID)11147990 035 $a(PQKBTitleCode)TC0000147312 035 $a(PQKBWorkID)10011559 035 $a(PQKB)11253353 035 $a(MiAaPQ)EBC1679290 035 $a(WSP)00005458 035 $a(Au-PeEL)EBL1679290 035 $a(CaPaEBR)ebr10255982 035 $a(CaONFJC)MIL193475 035 $a(EXLCZ)991000000000537800 100 $a20040617d2004 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 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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