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)

    mpi-pks/qb,db[ ps and pdf]


    Title: Statistics of wave interactions in nonlinear disordered systems
    Author: D.O. Krimer, S. Flach
    Comments: arXiv:1005.4820 (2010).

    mpi-pks/qb,db[ ps and pdf]


    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).

    mpi-pks/qb,db[ pdf]


    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[ pdf]


    Title: Spreading of waves in nonlinear disordered media
    Author:S. Flach
    Comments: Chem. Phys. 375, 548 (2010).

    mpi-pks/qb,db[ pdf]


    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[ pdf]


    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[ pdf]


    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[ pdf]


    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).

    mpi-pks/db,qb[ pdf paper pdf erratum]


    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[ pdf]


    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).

    mpi-pks/qb[ pdf]


    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[ pdf]


    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[ pdf]


    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[ pdf]


    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[ pdf]


    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[ pdf]


    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).

    mpi-pks/qb[ pdf]


    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).

    mpi-pks/qb[ pdf]


    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)..

    mpi-pks/qb[ pdf]


    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).

    mpi-pks/qb[ pdf]


    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).