@article{StraubePikovskij2011, author = {Straube, Arthur V. and Pikovskij, Arkadij}, title = {Pattern formation induced by time-dependent advection}, series = {Mathematical modelling of natural phenomena}, volume = {6}, journal = {Mathematical modelling of natural phenomena}, number = {1}, publisher = {EDP Sciences}, address = {Les Ulis}, issn = {0973-5348}, doi = {10.1051/mmnp/20116107}, pages = {138 -- 148}, year = {2011}, abstract = {We study pattern-forming instabilities in reaction-advection-diffusion systems. We develop an approach based on Lyapunov-Bloch exponents to figure out the impact of a spatially periodic mixing flow on the stability of a spatially homogeneous state. We deal with the flows periodic in space that may have arbitrary time dependence. We propose a discrete in time model, where reaction, advection, and diffusion act as successive operators, and show that a mixing advection can lead to a pattern-forming instability in a two-component system where only one of the species is advected. Physically, this can be explained as crossing a threshold of Turing instability due to effective increase of one of the diffusion constants.}, language = {en} } @article{ZhirovPikovskijShepelyansky2011, author = {Zhirov, O. V. and Pikovskij, Arkadij and Shepelyansky, Dima L.}, title = {Quantum vacuum of strongly nonlinear lattices}, series = {Physical review : E, Statistical, nonlinear and soft matter physics}, volume = {83}, journal = {Physical review : E, Statistical, nonlinear and soft matter physics}, number = {1}, publisher = {American Physical Society}, address = {College Park}, issn = {1539-3755}, doi = {10.1103/PhysRevE.83.016202}, pages = {7}, year = {2011}, abstract = {We study the properties of classical and quantum strongly nonlinear chains by means of extensive numerical simulations. Due to strong nonlinearity, the classical dynamics of such chains remains chaotic at arbitrarily low energies. We show that the collective excitations of classical chains are described by sound waves whose decay rate scales algebraically with the wave number with a generic exponent value. The properties of the quantum chains are studied by the quantum Monte Carlo method and it is found that the low-energy excitations are well described by effective phonon modes with the sound velocity dependent on an effective Planck constant. Our results show that at low energies the quantum effects lead to a suppression of chaos and drive the system to a quasi-integrable regime of effective phonon modes.}, language = {en} } @article{TurukinaPikovskij2011, author = {Turukina, L. V. and Pikovskij, Arkadij}, title = {Hyperbolic chaos in a system of resonantly coupled weakly nonlinear oscillators}, series = {Modern physics letters : A, Particles and fields, gravitation, cosmology, nuclear physics}, volume = {375}, journal = {Modern physics letters : A, Particles and fields, gravitation, cosmology, nuclear physics}, number = {11}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0375-9601}, doi = {10.1016/j.physleta.2011.02.017}, pages = {1407 -- 1411}, year = {2011}, abstract = {We show that a hyperbolic chaos can be observed in resonantly coupled oscillators near a Hopf bifurcation, described by normal-form-type equations for complex amplitudes. The simplest example consists of four oscillators, comprising two alternatively activated, due to an external periodic modulation, pairs. In terms of the stroboscopic Poincare map, the phase differences change according to an expanding Bernoulli map that depends on the coupling type. Several examples of hyperbolic chaos for different types of coupling are illustrated numerically.}, language = {en} } @article{PikovskijFishman2011, author = {Pikovskij, Arkadij and Fishman, Shmuel}, title = {Scaling properties of weak chaos in nonlinear disordered lattices}, series = {Physical review : E, Statistical, nonlinear and soft matter physics}, volume = {83}, journal = {Physical review : E, Statistical, nonlinear and soft matter physics}, number = {2}, publisher = {American Physical Society}, address = {College Park}, issn = {1539-3755}, doi = {10.1103/PhysRevE.83.025201}, pages = {4}, year = {2011}, abstract = {We study the discrete nonlinear Schrodinger equation with a random potential in one dimension. It is characterized by the length, the strength of the random potential, and the field density that determines the effect of nonlinearity. Following the time evolution of the field and calculating the largest Lyapunov exponent, the probability of the system to be regular is established numerically and found to be a scaling function of the parameters. This property is used to calculate the asymptotic properties of the system in regimes beyond our computational power.}, language = {en} } @article{MulanskyAhnertPikovskij2011, author = {Mulansky, Mario and Ahnert, Karsten and Pikovskij, Arkadij}, title = {Scaling of energy spreading in strongly nonlinear disordered lattices}, series = {Physical review : E, Statistical, nonlinear and soft matter physics}, volume = {83}, journal = {Physical review : E, Statistical, nonlinear and soft matter physics}, number = {2}, publisher = {American Physical Society}, address = {College Park}, issn = {1539-3755}, doi = {10.1103/PhysRevE.83.026205}, pages = {4}, year = {2011}, abstract = {To characterize a destruction of Anderson localization by nonlinearity, we study the spreading behavior of initially localized states in disordered, strongly nonlinear lattices. Due to chaotic nonlinear interaction of localized linear or nonlinear modes, energy spreads nearly subdiffusively. Based on a phenomenological description by virtue of a nonlinear diffusion equation, we establish a one-parameter scaling relation between the velocity of spreading and the density, which is confirmed numerically. From this scaling it follows that for very low densities the spreading slows down compared to the pure power law.}, language = {en} } @article{SunHenniesPietzschetal.2011, author = {Sun, Y. -P. and Hennies, Franz and Pietzsch, Annette and Kennedy, B. and Schmitt, Thorsten and Strocov, Vladimir N. and Andersson, Joakim and Berglund, Martin and Rubensson, Jan-Erik and Aidas, K. and Gel'mukhanov, F. and Odelius, Michael and F{\"o}hlisch, Alexander}, title = {Intramolecular soft modes and intermolecular interactions in liquid acetone}, series = {Physical review : B, Condensed matter and materials physics}, volume = {84}, journal = {Physical review : B, Condensed matter and materials physics}, number = {13}, publisher = {American Physical Society}, address = {College Park}, issn = {1098-0121}, doi = {10.1103/PhysRevB.84.132202}, pages = {4}, year = {2011}, abstract = {Resonant inelastic x-ray scattering spectra excited at the O1s(-1)pi* resonance of liquid acetone are presented. Scattering to the electronic ground state shows a resolved vibrational progression where the dominant contribution is due to the C-O stretching mode, thus demonstrating a unique sensitivity of the method to the local potential energy surface in complex molecular systems. For scattering to electronically excited states, soft vibrational modes and, to a smaller extent, intermolecular interactions give a broadening, which blurs the vibrational fine structure. It is predicted that environmental broadening is dominant in aqueous acetone.}, language = {en} } @article{PietzschSunHenniesetal.2011, author = {Pietzsch, Annette and Sun, Y. -P. and Hennies, Franz and Rinkevicius, Z. and Karlsson, Hans O. and Schmitt, Thorsten and Strocov, Vladimir N. and Andersson, Joakim and Kennedy, B. and Schlappa, J. and F{\"o}hlisch, Alexander and Rubensson, Jan-Erik and Gel'mukhanov, F.}, title = {Spatial quantum beats in vibrational resonant inelastic soft X-ray scattering at dissociating states in oxygen}, series = {Physical review letters}, volume = {106}, journal = {Physical review letters}, number = {15}, publisher = {American Physical Society}, address = {College Park}, issn = {0031-9007}, doi = {10.1103/PhysRevLett.106.153004}, pages = {4}, year = {2011}, abstract = {Resonant inelastic soft x-ray scattering (RIXS) spectra excited at the 1 sigma(g) -> 3 sigma(u) resonance in gas-phase O-2 show excitations due to the nuclear degrees of freedom with up to 35 well-resolved discrete vibronic states and a continuum due to the kinetic energy distribution of the separated atoms. The RIXS profile demonstrates spatial quantum beats caused by two interfering wave packets with different momenta as the atoms separate. Thomson scattering strongly affects both the spectral profile and the scattering anisotropy.}, language = {en} } @article{ArhammarPietzschBocketal.2011, author = {Arhammar, C. and Pietzsch, Annette and Bock, Nicolas and Holmstroem, Erik and Araujo, C. Moyses and Grasjo, Johan and Zhao, Shuxi and Green, Sara and Peery, T. and Hennies, Franz and Amerioun, Shahrad and F{\"o}hlisch, Alexander and Schlappa, Justine and Schmitt, Thorsten and Strocov, Vladimir N. and Niklasson, Gunnar A. and Wallace, Duane C. and Rubensson, Jan-Erik and Johansson, Borje and Ahuja, Rajeev C.}, title = {Unveiling the complex electronic structure of amorphous metal oxides}, series = {Proceedings of the National Academy of Sciences of the United States of America}, volume = {108}, journal = {Proceedings of the National Academy of Sciences of the United States of America}, number = {16}, publisher = {National Acad. of Sciences}, address = {Washington}, issn = {0027-8424}, doi = {10.1073/pnas.1019698108}, pages = {6355 -- 6360}, year = {2011}, abstract = {Amorphous materials represent a large and important emerging area of material's science. Amorphous oxides are key technological oxides in applications such as a gate dielectric in Complementary metal-oxide semiconductor devices and in Silicon-Oxide-Nitride-Oxide-Silicon and TANOS (TaN-Al2O3-Si3N4-SiO2-Silicon) flash memories. These technologies are required for the high packing density of today's integrated circuits. Therefore the investigation of defect states in these structures is crucial. In this work we present X-ray synchrotron measurements, with an energy resolution which is about 5-10 times higher than is attainable with standard spectrometers, of amorphous alumina. We demonstrate that our experimental results are in agreement with calculated spectra of amorphous alumina which we have generated by stochastic quenching. This first principles method, which we have recently developed, is found to be superior to molecular dynamics in simulating the rapid gas to solid transition that takes place as this material is deposited for thin film applications. We detect and analyze in detail states in the band gap that originate from oxygen pairs. Similar states were previously found in amorphous alumina by other spectroscopic methods and were assigned to oxygen vacancies claimed to act mutually as electron and hole traps. The oxygen pairs which we probe in this work act as hole traps only and will influence the information retention in electronic devices. In amorphous silica oxygen pairs have already been found, thus they may be a feature which is characteristic also of other amorphous metal oxides.}, language = {en} } @article{SunPietzschHenniesetal.2011, author = {Sun, Y-P and Pietzsch, Annette and Hennies, Franz and Rinkevicius, Z. and Karlsson, Hans O. and Schmitt, Thorsten and Strocov, Vladimir N. and Andersson, Joakim and Kennedy, B. and Schlappa, J. and F{\"o}hlisch, Alexander and Gel'mukhanov, F. and Rubensson, Jan-Erik}, title = {Internal symmetry and selection rules in resonant inelastic soft x-ray scattering}, series = {Journal of physics : B, Atomic, molecular and optical physics}, volume = {44}, journal = {Journal of physics : B, Atomic, molecular and optical physics}, number = {16}, publisher = {IOP Publ. Ltd.}, address = {Bristol}, issn = {0953-4075}, doi = {10.1088/0953-4075/44/16/161002}, pages = {5}, year = {2011}, abstract = {Resonant inelastic soft x-ray scattering spectra excited at the dissociative 1 sigma(g) -> 3 sigma(u) resonance in gas-phase O(2) are presented and discussed in terms of state-of-the-art molecular theory. A new selection rule due to internal spin coupling is established, facilitating a deep analysis of the valence excited final states. Furthermore, it is found that a commonly accepted symmetry selection rule due to orbital parity breaks down, as the core hole and excited electron swap parity, thereby opening the symmetry forbidden 3 sigma(g) decay channel.}, language = {en} } @article{DouceSuisseGuillonetal.2011, author = {Douce, Laurent and Suisse, Jean-Moise and Guillon, Daniel and Taubert, Andreas}, title = {Imidazolium-based liquid crystals a modular platform for versatile new materials with finely tuneable properties and behaviour}, series = {Liquid crystals : an international journal of science and technology}, volume = {38}, journal = {Liquid crystals : an international journal of science and technology}, number = {11-12}, publisher = {Routledge, Taylor \& Francis Group}, address = {Abingdon}, issn = {0267-8292}, doi = {10.1080/02678292.2011.610474}, pages = {1653 -- 1661}, year = {2011}, abstract = {Ionic liquid Crystals constitute highly versatile materials that have drawn much interest these past few years in the fields of academic research and industrial development. In this respect, the present article is intended as an update of K. Binnemans review published in 2005, but focusing exclusively on the imidazolium cation - the most widely studied. Herein, imidazolium-containing thermotropic liquid crystalline materials will be sorted by molecular structure (mono-, bis-, poly-imidazolium compounds, with symmetrical and non-symmetrical structures) and discussed. Their physico-chemical properties will be exposed in order to adduce the relevancy and potential of the imidazolium platform in various fields of research.}, language = {en} }