1,739 research outputs found

    Aggregation of chemotactic organisms in a differential flow

    Get PDF
    We study the effect of advection on the aggregation and pattern formation in chemotactic systems described by Keller-Segel type models. The evolution of small perturbations is studied analytically in the linear regime complemented by numerical simulations. We show that a uniform differential flow can significantly alter the spatial structure and dynamics of the chemotactic system. The flow leads to the formation of anisotropic aggregates that move following the direction of the flow, even when the chemotactic organisms are not directly advected by the flow. Sufficiently strong advection can stop the aggregation and coarsening process that is then restricted to the direction perpendicular to the flow

    Absolute instabilities of travelling wave solutions in a Keller-Segel model

    Full text link
    We investigate the spectral stability of travelling wave solutions in a Keller-Segel model of bacterial chemotaxis with a logarithmic chemosensitivity function and a constant, sublinear, and linear consumption rate. Linearising around the travelling wave solutions, we locate the essential and absolute spectrum of the associated linear operators and find that all travelling wave solutions have essential spectrum in the right half plane. However, we show that in the case of constant or sublinear consumption there exists a range of parameters such that the absolute spectrum is contained in the open left half plane and the essential spectrum can thus be weighted into the open left half plane. For the constant and sublinear consumption rate models we also determine critical parameter values for which the absolute spectrum crosses into the right half plane, indicating the onset of an absolute instability of the travelling wave solution. We observe that this crossing always occurs off of the real axis

    Surface resonance of the (2×1) reconstructed lanthanum hexaboride (001)-cleavage plane : a combined STM and DFT study

    Get PDF
    We performed a combined study of the (001)-cleavage plane of lanthanum hexaboride (LaB6) using scanning tunneling microscopy and density-functional theory (DFT). Experimentally, we found a (2×1) reconstructed surface on a local scale. The reconstruction is only short-range ordered and tends to order perpendicularly to step edges. At larger distances from surface steps, the reconstruction evolves to a labyrinthlike pattern. These findings are supported by low-energy electron diffraction experiments. Slab calculations within the framework of DFT show that the atomic structure consists of parallel lanthanum chains on top of boron octahedra. Scanning tunneling spectroscopy shows a prominent spectral feature at −0.6eV. Using DFT, we identify this structure as a surface resonance of the (2×1) reconstructed LaB6 (100) surface which is dominated by boron dangling bond states and lanthanum d states

    Serving Innovation in Scholarly Communication with the Open Platform “Digital Peer Publishing"

    Get PDF
    The internet causes a continuous emergence of novel forms of scholarly communication and collaboration. Electronic publishing provides a means for representing eventual outcomes of these processes, i.e. all types of content such as papers and advanced forms of media. Electronic journals are often chosen as an adequate publishing format because they simultaneously deliver content in a well-known manner but, at the same time, allow extending traditional publishing with innovative features. The initiative Digital Peer Publishing (DiPP) provides technological, organizational and legal frameworks and tools that help to incubate and proliferate such innovative publishing projects. The hosting platform reflects principles of a Service Oriented Architecture. It combines, via Web Services, already established components such as an OAI repository (Fedora) and a Web Content Management System (Plone) with customized workflows for document processing, conversion and distribution. As an open platform it is capable of integrating external tools and services or acts itself as a service provider. It is therefore disposed for supplementing research infrastructures with electronic publishing

    On the robustness of entanglement in analogue gravity systems

    Get PDF
    We investigate the possibility of generating quantum-correlated quasi-particles utilizing analogue gravity systems. The quantumness of these correlations is a key aspect of analogue gravity effects and their presence allows for a clear separation between classical and quantum analogue gravity effects. However, experiments in analogue systems, such as Bose–Einstein condensates (BECs) and shallow water waves, are always conducted at non-ideal conditions, in particular, one is dealing with dispersive media at non-zero temperatures. We analyse the influence of the initial temperature on the entanglement generation in analogue gravity phenomena. We lay out all the necessary steps to calculate the entanglement generated between quasi-particle modes and we analytically derive an upper bound on the maximal temperature at which given modes can still be entangled. We further investigate a mechanism to enhance the quantum correlations. As a particular example, we analyse the robustness of the entanglement creation against thermal noise in a sudden quench of an ideally homogeneous BEC, taking into account the super-sonic dispersion relations

    The one-dimensional Keller-Segel model with fractional diffusion of cells

    Get PDF
    We investigate the one-dimensional Keller-Segel model where the diffusion is replaced by a non-local operator, namely the fractional diffusion with exponent 0<α≀20<\alpha\leq 2. We prove some features related to the classical two-dimensional Keller-Segel system: blow-up may or may not occur depending on the initial data. More precisely a singularity appears in finite time when α<1\alpha<1 and the initial configuration of cells is sufficiently concentrated. On the opposite, global existence holds true for α≀1\alpha\leq1 if the initial density is small enough in the sense of the L1/αL^{1/\alpha} norm.Comment: 12 page

    Language Typology Trace Based on Motion Events: Javanese Spoken by English Learners

    Get PDF
    This study aimed at identifying the ways Javanese, one of Austronesian languages, speakers expressed motion events, either using man-ner-incorporating sentences, path-incorporating sentences, or equipollently framing manner and path in the same predication position. The investigated speakers were English learners. Furthermore, the study investigated whether language contact played a role in the lan-guage change. After analyzing data from Javanese speakers learning English, it was revealed that Javanese consultants used mostly man-ner verbs, behaving more like a satellite-framed language, no longer an equipollently-framed. Language contact played a role in the ten-dency alteration of Javanese speakers to produce manner verbs in the predicate position caused by their learning English, which is a sat-ellite-framed language with major construction of manner-incorporating sentences. The result of the study on language typology of Java-nese spoken by English learners could end up showing that language contact in the multilingual contexts might contribute to any lan-guage variation

    High-resolution mapping of Bora winds in the northern Adriatic Sea using synthetic aperture radar

    Get PDF
    Author Posting. © American Geophysical Union, 2010. This article is posted here by permission of American Geophysical Union for personal use, not for redistribution. The definitive version was published in Journal of Geophysical Research 115 (2010): C04020, doi:10.1029/2009JC005524.The Adriatic Sea is regularly subjected to strong Bora wind events from the northeast during winter. The events have a strong effect on the oceanography in the Adriatic, driving basin-scale gyres that determine the transport of biogeochemical material and extracting large amounts of heat. The Bora is known to have multiple surface wind jets linked to the surrounding orography and have been the focus of many studies, but it has not been possible to describe the detailed spatial structure of these jets by in situ observations. Using high-resolution spaceborne RADARSAT-1 synthetic aperture radar (SAR) images collected during an active Bora period (23 January–16 February 2003), we created a series of high-resolution (300 m) maps of the wind field. The obtained winds show reasonable agreement with several in situ wind observations, with an RMS wind speed error of 3.6 m/s, slightly higher than the 2–3 m/s errors reported in previous studies. These SAR images reveal the spatial structure of the Bora wind in unprecedented detail, showing several new features. In the Senj region of Croatia, several images show rhythmic structure with wavelengths of 2–3 km that may reflect Bora pulsation seen at fixed locations by previous investigators. Along the Italian coast, several images show a wide (20–30 km) band of northwesterly winds that abruptly change to the northeasterly Bora winds further offshore. Meteorological model results suggest that these northwesterly winds are consistent with those of a barrier jet forming along the Italian Apennine mountain chain

    Critical dynamics of self-gravitating Langevin particles and bacterial populations

    Full text link
    We study the critical dynamics of the generalized Smoluchowski-Poisson system (for self-gravitating Langevin particles) or generalized Keller-Segel model (for the chemotaxis of bacterial populations). These models [Chavanis & Sire, PRE, 69, 016116 (2004)] are based on generalized stochastic processes leading to the Tsallis statistics. The equilibrium states correspond to polytropic configurations with index nn similar to polytropic stars in astrophysics. At the critical index n3=d/(d−2)n_{3}=d/(d-2) (where d≄2d\ge 2 is the dimension of space), there exists a critical temperature Θc\Theta_{c} (for a given mass) or a critical mass McM_{c} (for a given temperature). For Θ>Θc\Theta>\Theta_{c} or M<McM<M_{c} the system tends to an incomplete polytrope confined by the box (in a bounded domain) or evaporates (in an unbounded domain). For Θ<Θc\Theta<\Theta_{c} or M>McM>M_{c} the system collapses and forms, in a finite time, a Dirac peak containing a finite fraction McM_c of the total mass surrounded by a halo. This study extends the critical dynamics of the ordinary Smoluchowski-Poisson system and Keller-Segel model in d=2d=2 corresponding to isothermal configurations with n3→+∞n_{3}\to +\infty. We also stress the analogy between the limiting mass of white dwarf stars (Chandrasekhar's limit) and the critical mass of bacterial populations in the generalized Keller-Segel model of chemotaxis
    • 

    corecore