q-BREATHERS:
math: classical and quantum
solving the FPU problem: q-breathers explain all major observations of FPU
(localization, recurrence, equipartition via tail resonances)
finite systems: abundant in nature, generically allow for q-breathers and their control
scaling: finite system solution scaling to infinite system size, connection to
anharmonic phonon theory on rigorous footing
applications? under construction (e.g. electronic transport through single
molecules, interaction with vibrational modes)
Title: Statistics of wave interactions in nonlinear disordered systems
Author: D.O. Krimer, S. Flach
Comments: arXiv:1005.4820 (2010).
Title: The crossover from strong to weak chaos for nonlinear waves in disordered systems
Author: T.V. Laptyeva, J.D. Bodyfelt, D.O. Krimer, Ch. Skokos, S. Flach
Comments: EPL, in print; arXiv:1005.0485 (2010).
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Title: Spreading of wave packets in disordered systems with tunable nonlinearity
Author:Ch. Skokos and S. Flach
Comments:
Phys. Rev. E 82, 016208 (2010).
mpi-pks/qb,db[
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Title: Spreading of waves in nonlinear disordered media
Author:S. Flach
Comments:
Chem. Phys. 375, 548 (2010).
mpi-pks/qb,db[
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Title: Delocalization and spreading in a nonlinear Stark ladder
Author: D. O. Krimer, R. Khomeriki and Sergej Flach
Comments:
Phys. Rev. E 80, 036201 (2009).
mpi-pks/qb,db[
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Title: Delocalization of wave packets in disordered nonlinear chains
Author: Ch. Skokos, D. O. Krimer, S. Komineas, S. Flach
Comments:
Phys. Rev. E 79, 056211 (2009).
mpi-pks/db,qb[
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Title: Control of wavepacket spreading in nonlinear
finite disordered lattices
Author: R. A. Vicencio and S. Flach,
Comments: Phys. Rev. E 79, 016217 (2009).
mpi-pks/qb[
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Title: Boundary effects on quantum q-breathers in a Bose-Hubbard chain
Author: Ricardo A. Pinto, Jean Pierre Nguenang and Sergej Flach
Comments:
Physica D 238, 581 (2009).
Title: Universal spreading of wavepackets
in disordered nonlinear systems
Author: S. Flach, D. Krimer, Ch. Skokos
Comments:
Phys. Rev. Lett. 102, 024101 (2009);
Phys. Rev. Lett. 102, 209903
mpi-pks/qb[
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Title: Periodic orbits, localization in normal mode space,
and the Fermi-Pasta-Ulam problem
Author: S. Flach, M. V. Ivanchenko, O. I. Kanakov, and K. G. Mishagin
Comments: Am. J. Phys. 76, 453 (2008).
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Title: q-breathers in Discrete Nonlinear Schroedinger lattices
Author: K.G. Mishagin, S. Flach, O.I. Kanakov and M.V. Ivanchenko
Comments: New J. Phys. 10, 073034 (2008).
mpi-pks/qb[
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Title: The Fermi-Pasta-Ulam problem: periodic orbits,
normal forms and resonance overlap criteria
Author: S. Flach and A. Ponno
Comments: Physica D 237, 908 (2008).
mpi-pks/qb[
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Title: Quantum q-breathers in a finite Bose-Hubbard chain:
the case of two interacting bosons
Author: J. P. Nguenang, R. A. Pinto and S. Flach
Comments: Phys. Rev. B 75, 214303 (2007)
mpi-pks/qb[
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Title: Periodic orbits, localization
in normal mode space and the FPU problem (in russian)
Author: Sergej Flach
Comments: lecture held at winter school, Nizhnii Novgorod, 2006.
mpi-pks/qb[
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Title: Tail resonances of FPU q-breathers and their
impact on the pathway to equipartition
Author: Tiziano Penati, and Sergej Flach
Comments: Chaos 17, 023102 (2007).
mpi-pks/qb[
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Title: q-breathers in FPU lattices -
scaling and properties for large systems
Author: S. Flach, O. I. Kanakov, M. V. Ivanchenko and K. G. Mishagin
Comments: Int. J. Mod. Phys. B 21, 3925 (2007).
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Title: Scaling properties of $q$-breathers in
nonlinear acoustic lattices
Author: O. I. Kanakov, S. Flach, M. V. Ivanchenko and K. G. Mishagin
Comments: Phys. Lett. A 365, 416 (2007).
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Title: q-breathers in finite two- and three-dimensional nonlinear acoustic
lattices
Author: M.V.Ivanchenko, O.I.Kanakov, K.G.Mishagin and S. Flach
Comments: Phys. Rev. Lett. 97, 025505 (2006)..
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Title: q-Breathers in Fermi-Pasta-Ulam chains:
existence, localization and stability
Author: S. Flach, M.V.Ivanchenko and O.I.Kanakov
Comments: Phys. Rev. E 73, 036618 (2006).
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Title: q-Breathers and the Fermi-Pasta-Ulam Problem
Author: S. Flach, M. V. Ivanchenko and O. I. Kanakov
Comments: Phys. Rev. Lett. 95, 064102 (2005).