@phdthesis{Ahnert2010,
  author    = {Ahnert, Karsten},
  title     = {Compactons in strongly nonlinear lattices},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-48539},
  school      = {Universit{\"a}t Potsdam},
  year      = {2010},
  abstract  = {In the present work, we study wave phenomena in strongly nonlinear lattices. Such lattices are characterized by the absence of classical linear waves. We demonstrate that compactons - strongly localized solitary waves with tails decaying faster than exponential - exist and that they play a major role in the dynamics of the system under consideration. We investigate compactons in different physical setups. One part deals with lattices of dispersively coupled limit cycle oscillators which find various applications in natural sciences such as Josephson junction arrays or coupled Ginzburg-Landau equations. Another part deals with Hamiltonian lattices. Here, a prominent example in which compactons can be found is the granular chain. In the third part, we study systems which are related to the discrete nonlinear Schr{\"o}dinger equation describing, for example, coupled optical wave-guides or the dynamics of Bose-Einstein condensates in optical lattices. Our investigations are based on a numerical method to solve the traveling wave equation. This results in a quasi-exact solution (up to numerical errors) which is the compacton. Another ansatz which is employed throughout this work is the quasi-continuous approximation where the lattice is described by a continuous medium. Here, compactons are found analytically, but they are defined on a truly compact support. Remarkably, both ways give similar qualitative and quantitative results. Additionally, we study the dynamical properties of compactons by means of numerical simulation of the lattice equations. Especially, we concentrate on their emergence from physically realizable initial conditions as well as on their stability due to collisions. We show that the collisions are not exactly elastic but that a small part of the energy remains at the location of the collision. In finite lattices, this remaining part will then trigger a multiple scattering process resulting in a chaotic state.},
  language  = {en}
}
@article{BaibolatovRosenblumZhanabaevetal.2010,
  author    = {Baibolatov, Yernur and Rosenblum, Michael and Zhanabaev, Zeinulla Zh. and Pikovskij, Arkadij},
  title     = {Complex dynamics of an oscillator ensemble with uniformly distributed natural frequencies and global nonlinear coupling},
  issn      = {1539-3755},
  doi       = {10.1103/Physreve.82.016212},
  year      = {2010},
  abstract  = {We consider large populations of phase oscillators with global nonlinear coupling. For identical oscillators such populations are known to demonstrate a transition from completely synchronized state to the state of self-organized quasiperiodicity. In this state phases of all units differ, yet the population is not completely incoherent but produces a nonzero mean field; the frequency of the latter differs from the frequency of individual units. Here we analyze the dynamics of such populations in case of uniformly distributed natural frequencies. We demonstrate numerically and describe theoretically (i) states of complete synchrony, (ii) regimes with coexistence of a synchronous cluster and a drifting subpopulation, and (iii) self-organized quasiperiodic states with nonzero mean field and all oscillators drifting with respect to it. We analyze transitions between different states with the increase of the coupling strength; in particular we show that the mean field arises via a discontinuous transition. For a further illustration we compare the results for the nonlinear model with those for the Kuramoto-Sakaguchi model.},
  language  = {en}
}
@article{BalažVidanovicBogojevićetal.2010,
  author    = {Balaž, Antun and Vidanovic, Ivana and Bogojević, Aleksandar and Pelster, Axel},
  title     = {Ultra-fast converging path-integral approach for rotating ideal Bose-Einstein condensates},
  issn      = {0375-9601},
  doi       = {10.1016/j.physleta.2010.01.034},
  year      = {2010},
  abstract  = {A recently developed efficient recursive approach for analytically calculating the short-time evolution of the one-particle propagator to extremely high orders is applied here for numerically studying the thermodynamical and dynamical properties of a rotating ideal Bose gas of Rb-87 atoms in an anharmonic trap. At first, the one-particle energy spectrum of the system is obtained by diagonalizing the discretized short-time propagator. Using this, many-boson properties such as the condensation temperature, the ground-state occupancy, density profiles, and time-of-flight absorption pictures are calculated for varying rotation frequencies. The obtained results improve previous semiclassical calculations, in particular for smaller particle numbers. Furthermore, we find that typical time scales for a free expansion are increased by an order of magnitude for the delicate regime of both critical and overcritical rotation.},
  language  = {en}
}
@article{BangeSchubertNeher2010,
  author    = {Bange, Sebastian and Schubert, Marcel and Neher, Dieter},
  title     = {Charge mobility determination by current extraction under linear increasing voltages : case of nonequilibrium charges and field-dependent mobilities},
  issn      = {1098-0121},
  doi       = {10.1103/Physrevb.81.035209},
  year      = {2010},
  abstract  = {The method of current extraction under linear increasing voltages (CELIV) allows for the simultaneous determination of charge mobilities and charge densities directly in thin-film geometries as used in organic photovoltaic (OPV) cells. It has been specifically applied to investigate the interrelation of microstructure and charge-transport properties in such systems. Numerical and analytical calculations presented in this work show that the evaluation of CELIV transients with the commonly used analysis scheme is error prone once charge recombination and, possibly, field- dependent charge mobilities are taken into account. The most important effects are an apparent time dependence of charge mobilities and errors in the determined field dependencies. Our results implicate that reports on time-dependent mobility relaxation in OPV materials obtained by the CELIV technique should be carefully revisited and confirmed by other measurement methods.},
  language  = {en}
}
@article{BarthelKlieschEisert2010,
  author    = {Barthel, Thomas and Kliesch, Martin and Eisert, Jens},
  title     = {Real-space renormalization yields finite correlations},
  issn      = {0031-9007},
  doi       = {10.1103/Physrevlett.105.010502},
  year      = {2010},
  abstract  = {Real-space renormalization approaches for quantum lattice systems generate certain hierarchical classes of states that are subsumed by the multiscale entanglement renormalization Ansatz (MERA). It is shown that, with the exception of one spatial dimension, MERA states are actually states with finite correlations, i.e., projected entangled pair states (PEPS) with a bond dimension independent of the system size. Hence, real-space renormalization generates states which can be encoded with local effective degrees of freedom, and MERA states form an efficiently contractible class of PEPS that obey the area law for the entanglement entropy. It is further pointed out that there exist other efficiently contractible schemes violating the area law.},
  language  = {en}
}
@article{BimonteHaakhHenkeletal.2010,
  author    = {Bimonte, Giuseppe and Haakh, Harald Richard and Henkel, Carsten and Intravaia, Francesco},
  title     = {Optical BCS conductivity at imaginary frequencies and dispersion energies of superconductors},
  issn      = {1751-8113},
  doi       = {10.1088/1751-8113/43/14/145304},
  year      = {2010},
  abstract  = {We present an efficient expression for the analytic continuation to arbitrary complex frequencies of the complex optical and ac conductivity of a homogeneous superconductor with an arbitrary mean free path. Knowledge of this quantity is fundamental in the calculation of thermodynamic potentials and dispersion energies involving type-I superconducting bodies. When considered for imaginary frequencies, our formula evaluates faster than previous schemes involving Kramers-Kronig transforms. A number of applications illustrate its efficiency: a simplified low-frequency expansion of the conductivity, the electromagnetic bulk self-energy due to longitudinal plasma oscillations, and the Casimir free energy of a superconducting cavity.},
  language  = {en}
}
@article{BlakesleyClubbGreenham2010,
  author    = {Blakesley, James C. and Clubb, Helen S. and Greenham, Neil C.},
  title     = {Temperature-dependent electron and hole transport in disordered semiconducting polymers : analysis of energetic disorder},
  issn      = {1098-0121},
  doi       = {10.1103/Physrevb.81.045210},
  year      = {2010},
  abstract  = {We have used space-charge limited current measurements to study the mobility of holes and electrons in two fluorene-based copolymers for temperatures from 100 to 300 K. Interpreting the results using the standard analytical model produced an Arrhenius-type temperature dependence for a limited temperature range only and mobility was found to be apparently dependent on the thickness of the polymer film. To improve on this, we have interpreted our data using a numerical model that takes into account the effects of the carrier concentration and energetic disorder on transport. This accounted for the thickness dependence and gave a more consistent temperature dependence across the full range of temperatures, giving support to the extended Gaussian disorder model for transport in disordered polymers. Furthermore, we find that the same model adequately describes both electron and hole transport without the need to explicitly include a distribution of electron traps. Room-temperature mobilities were found to be in the region of 4 x 10(-8) and 2 x 10(- 8) cm(2) V-1 s(-1) in the limit of zero field and zero carrier density with disorders of 110+/-10 and 100+/-10 meV for polymers poly{9,9-dioctylfluorene-co-bis[N,N'-(4-butylphenyl)]bis(N, N'-phenyl-1,4-phenylene)diamine} and poly(9,9-dioctylfluorene-co-benzothiadiazole), respectively.},
  language  = {en}
}
@phdthesis{Blessmann2010,
  author    = {Bleßmann, Daniela},
  title     = {Der Einfluss der Dynamik auf die stratosph{\"a}rische Ozonvariabilit{\"a}t {\"u}ber der Arktis im Fr{\"u}hwinter},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-51394},
  school      = {Universit{\"a}t Potsdam},
  year      = {2010},
  abstract  = {Der fr{\"u}hwinterliche Ozongehalt ist ein Indikator f{\"u}r den Ozongehalt im Sp{\"a}twinter/Fr{\"u}hjahr. Jedoch weist dieser aufgrund von Absinkprozessen, chemisch bedingten Ozonabbau und Wellenaktivit{\"a}t von Jahr zu Jahr starke Schwankungen auf. Die vorliegende Arbeit zeigt, dass diese Variabilit{\"a}t weitestgehend auf dynamische Prozesse w{\"a}hrend der Wirbelbildungsphase des arktischen Polarwirbels zur{\"u}ckgeht. Ferner wird der bisher noch ausstehende Zusammenhang zwischen dem fr{\"u}h- und sp{\"a}twinterlichen Ozongehalt bez{\"u}glich Dynamik und Chemie aufgezeigt. F{\"u}r die Untersuchung des Zusammenhangs zwischen der im Polarwirbel eingeschlossenen Luftmassenzusammensetzung und Ozonmenge wurden Beobachtungsdaten von Satellitenmessinstrumenten und Ozonsonden sowie Modellsimulationen des Lagrangschen Chemie/Transportmodells ATLAS verwandt. Die {\"u}ber die Fl{\"a}che (45-75°N) und Zeit (August-November) gemittelte Vertikalkomponente des Eliassen-Palm-Flussvektors durch die 100hPa-Fl{\"a}che zeigt eine Verbindung zwischen der fr{\"u}hwinterlichen wirbelinneren Luftmassenzusammensetzung und der Wirbelbildungsphase auf. Diese ist jedoch nur f{\"u}r die untere Stratosph{\"a}re g{\"u}ltig, da die Vertikalkomponente die sich innerhalb der Stratosph{\"a}re {\"a}ndernden Wellenausbreitungsbedingungen nicht erfasst. F{\"u}r eine verbesserte H{\"o}hendarstellung des Signals wurde eine neue integrale auf der Wellenamplitude und dem Charney-Drazin-Kriterium basierende Gr{\"o}ße definiert. Diese neue Gr{\"o}ße verbindet die Wellenaktivit{\"a}t w{\"a}hrend der Wirbelbildungsphase sowohl mit der Luftmassenzusammensetzung im Polarwirbel als auch mit der Ozonverteilung {\"u}ber die Breite. Eine verst{\"a}rkte Wellenaktivit{\"a}t f{\"u}hrt zu mehr Luft aus niedrigeren ozonreichen Breiten im Polarwirbel. Aber im Herbst und Fr{\"u}hwinter zerst{\"o}ren chemische Prozesse, die das Ozon ins Gleichgewicht bringen, die interannuale wirbelinnere Ozonvariablit{\"a}t, die durch dynamische Prozesse w{\"a}hrend der arktischen Polarwirbelbildungsphase hervorgerufen wird. Eine Analyse in Hinblick auf den Fortbestand einer dynamisch induzierten Ozonanomalie bis in den Mittwinter erm{\"o}glicht eine Absch{\"a}tzung des Einflusses dieser dynamischen Prozesse auf den arktischen Ozongehalt. Zu diesem Zweck wurden f{\"u}r den Winter 1999-2000 Modelll{\"a}ufe mit dem Lagrangesche Chemie/Transportmodell ATLAS gerechnet, die detaillierte Informationen {\"u}ber den Erhalt der k{\"u}nstlichen Ozonvariabilit{\"a}t hinsichtlich Zeit, H{\"o}he und Breite liefern. Zusammengefasst, besteht die dynamisch induzierte Ozonvariabilit{\"a}t w{\"a}hrend der Wirbelbildungsphase l{\"a}nger im Inneren als im {\"A}ußeren des Polarwirbels und verliert oberhalb von 750K potentieller Temperatur ihre signifikante Wirkung auf die mittwinterliche Ozonvariabilit{\"a}t. In darunterliegenden H{\"o}henbereichen ist der Anteil an der urspr{\"u}nglichen St{\"o}rung groß, bis zu 90\% auf der 450K. Innerhalb dieses H{\"o}henbereiches {\"u}ben die dynamischen Prozesse w{\"a}hrend der Wirbelbildungsphase einen entscheidenden Einfluss auf den Ozongehalt im Mittwinter aus.},
  language  = {de}
}
@article{BoedekerBetaFranketal.2010,
  author    = {Boedeker, Hendrik Ulrich and Beta, Carsten and Frank, Till D. and Bodenschatz, Eberhard},
  title     = {Quantitative analysis of random ameboid motion},
  issn      = {0295-5075},
  doi       = {10.1209/0295-5075/90/28005},
  year      = {2010},
  abstract  = {We quantify random migration of the social ameba Dictyostelium discoideum. We demonstrate that the statistics of cell motion can be described by an underlying Langevin-type stochastic differential equation. An analytic expression for the velocity distribution function is derived. The separation into deterministic and stochastic parts of the movement shows that the cells undergo a damped motion with multiplicative noise. Both contributions to the dynamics display a distinct response to external physiological stimuli. The deterministic component depends on the developmental state and ambient levels of signaling substances, while the stochastic part does not.},
  language  = {en}
}
@article{BordyugovFischerEngeletal.2010,
  author    = {Bordyugov, Grigory and Fischer, Nils and Engel, Harald and Manz, Niklas and Steinbock, Oliver},
  title     = {Anomalous dispersion in the Belousov-Zhabotinsky reaction : experiments and modeling},
  issn      = {0167-2789},
  doi       = {10.1016/j.physd.2009.10.022},
  year      = {2010},
  abstract  = {We report results on dispersion relations and instabilities of traveling waves in excitable systems. Experiments employ solutions of the 1,4-cyclohexanedione Belousov-Zhabotinsky reaction confined to thin capillary tubes which create a pseudo-one-dimensional system. Theoretical analyses focus on a three-variable reaction-diffusion model that is known to reproduce qualitatively many of the experimentally observed dynamics. Using continuation methods, we show that the transition from normal, monotonic to anomalous, single-overshoot dispersion curves is due to an orbit flip bifurcation of the solitary pulse homoclinics. In the case of "wave stacking", this anomaly induces attractive pulse interaction, slow solitary pulses, and faster wave trains. For "wave merging", wave trains break up in the wake of the slow solitary pulse due to an instability of wave trains at small wavelength. A third case, "wave tracking" is characterized by the non-existence of solitary waves but existence of periodic wave trains. The corresponding dispersion curve is a closed curve covering a finite band of wavelengths.},
  language  = {en}
}