1,001 research outputs found

    The Fast Wandering of Slow Birds

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    I study a single "slow" bird moving with a flock of birds of a different, and faster (or slower) species. I find that every "species" of flocker has a characteristic speed γv0\gamma\ne v_0, where v0v_0 is the mean speed of the flock, such that, if the speed vsv_s of the "slow" bird equals γ\gamma, it will randomly wander transverse to the mean direction of flock motion far faster than the other birds will: its mean-squared transverse displacement will grow in d=2d=2 with time tt like t5/3t^{5/3}, in contrast to t4/3t^{4/3} for the other birds. In d=3d=3, the slow bird's mean squared transverse displacement grows like t5/4t^{5/4}, in contrast to tt for the other birds. If vsγv_s\neq \gamma, the mean-squared displacement of the "slow" bird crosses over from t5/2t^{5/2} to t4/3t^{4/3} scaling in d=2d=2, and from t5/4t^{5/4} to tt scaling in d=3d=3, at a time tct_c that scales according to tcvsγ2t_c \propto|v_s-\gamma|^{-2}.Comment: 10 pages; 5 pages of which did not appear in earlier versions, but were added in response to referee's suggestion

    An evaluation of potentially useful separator materials for nickel-cadmium (Ni-Cd] satellite batteries

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    An evaluation intended to determine the potential suitability and probable efficacy of a group of separator materials for use in nickel-cadmium (Ni-Cd) satellite batteries was carried out. These results were obtained using test procedures established in an earlier evaluation of other separator materials, some of which were used in experimental battery cells subjected to simulated use conditions. The properties that appear to be most important are: high electrolyte absorptivity, good electrolyte retention, low specific resistivity, rapid wettability and low resistance to air permeation. Wicking characteristics and wet-out time seem to be more important with respect to the initial filling of the battery with the electrolyte

    A Reanalysis of the Hydrodynamic Theory of Fluid, Polar-Ordered Flocks

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    I reanalyze the hydrodynamic theory of fluid, polar ordered flocks. I find new linear terms in the hydrodynamic equations which slightly modify the anisotropy, but not the scaling, of the damping of sound modes. I also find that the nonlinearities allowed {\it in equilibrium} do not stabilize long ranged order in spatial dimensions d=2d=2; in accord with the Mermin-Wagner theorem. Nonequilibrium nonlinearities {\it do} stabilize long ranged order in d=2d=2, as argued by earlier work. Some of these were missed by earlier work; it is unclear whether or not they change the scaling exponents in d=2d=2.Comment: 6 pages, no figures. arXiv admin note: text overlap with arXiv:0909.195

    Dreamtime Astronomy: development of a new Indigenous program at Sydney Observatory

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    The Australian National Curriculum promotes Indigenous culture in school education programs. To foster a broader appreciation of cultural astronomy, to utilise the unique astronomical heritage of the site, and to develop an educational program within the framework of the National Curriculum, Sydney Observatory launched Dreamtime Astronomy, a program incorporating Australian Indigenous culture, astronomy, and Sydney's astronomical history and heritage. This paper reviews the development and implementation of this program and discusses modifications following an evaluation by schools.Comment: Journal of Astronomical History and Heritage, Volume 17, Issue 2, Preprint (2014

    Self-organization in systems of self-propelled particles

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    We investigate a discrete model consisting of self-propelled particles that obey simple interaction rules. We show that this model can self-organize and exhibit coherent localized solutions in one- and in two-dimensions.In one-dimension, the self-organized solution is a localized flock of finite extent in which the density abruptly drops to zero at the edges.In two-dimensions, we focus on the vortex solution in which the particles rotate around a common center and show that this solution can be obtained from random initial conditions, even in the absence of a confining boundary. Furthermore, we develop a continuum version of our discrete model and demonstrate that the agreement between the discrete and the continuum model is excellent.Comment: 4 pages, 5 figure

    Kinetic Roughening in Surfaces of Crystals Growing on Disordered Substrates

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    Substrate disorder effects on the scaling properties of growing crystalline surfaces in solidification or epitaxial deposition processes are investigated. Within the harmonic approach there is a phase transition into a low-temperature (low-noise) superrough phase with a continuously varying dynamic exponent z>2 and a non-linear response. In the presence of the KPZ nonlinearity the disorder causes the lattice efects to decay on large scales with an intermediate crossover behavior. The mobility of the rough surface hes a complex dependence on the temperature and the other physical parameters.Comment: 13 pages, 2 figures (not included). Submitted to Phys. Rev. Letts. Use Latex twic

    The Communication Cost of Simulating Bell Correlations

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    What classical resources are required to simulate quantum correlations? For the simplest and most important case of local projective measurements on an entangled Bell pair state, we show that exact simulation is possible using local hidden variables augmented by just one bit of classical communication. Certain quantum teleportation experiments, which teleport a single qubit, therefore admit a local hidden variables model.Comment: 4 pages, 2 figures; reference adde

    Mean-field analysis of a dynamical phase transition in a cellular automaton model for collective motion

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    A cellular automaton model is presented for random walkers with biologically motivated interactions favoring local alignment and leading to collective motion or swarming behavior. The degree of alignment is controlled by a sensitivity parameter, and a dynamical phase transition exhibiting spontaneous breaking of rotational symmetry occurs at a critical parameter value. The model is analyzed using nonequilibrium mean field theory: Dispersion relations for the critical modes are derived, and a phase diagram is constructed. Mean field predictions for the two critical exponents describing the phase transition as a function of sensitivity and density are obtained analytically.Comment: 4 pages, 4 figures, final version as publishe
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