50,095 research outputs found

    An improved 2.5 GHz electron pump: single-electron transport through shallow-etched point contacts driven by surface acoustic waves

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    We present an experimental study of a 2.5 GHz electron pump based on the quantized acoustoelectric current driven by surface acoustic waves (SAWs) through a shallow-etched point contact in a GaAs/AlGaAs heterostructure. At low temperatures and with an additional counter-propagating SAW beam, up to n = 20 current plateaus at I=nef could be resolved, where n is an integer, e the electron charge, and f the SAW frequency. In the best case the accuracy of the first plateau at 0.40 nA was estimated to be dI/I = +/- 25 ppm over 0.25 mV in gate voltage, which is better than previous results.Comment: 11 pages, 4 figure

    Bifurcations and Complete Chaos for the Diamagnetic Kepler Problem

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    We describe the structure of bifurcations in the unbounded classical Diamagnetic Kepler problem. We conjecture that this system does not have any stable orbits and that the non-wandering set is described by a complete trinary symbolic dynamics for scaled energies larger then ϵc=0.328782…\epsilon_c=0.328782\ldots.Comment: 15 pages PostScript uuencoded with figure

    An interior point algorithm for minimum sum-of-squares clustering

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    Copyright @ 2000 SIAM PublicationsAn exact algorithm is proposed for minimum sum-of-squares nonhierarchical clustering, i.e., for partitioning a given set of points from a Euclidean m-space into a given number of clusters in order to minimize the sum of squared distances from all points to the centroid of the cluster to which they belong. This problem is expressed as a constrained hyperbolic program in 0-1 variables. The resolution method combines an interior point algorithm, i.e., a weighted analytic center column generation method, with branch-and-bound. The auxiliary problem of determining the entering column (i.e., the oracle) is an unconstrained hyperbolic program in 0-1 variables with a quadratic numerator and linear denominator. It is solved through a sequence of unconstrained quadratic programs in 0-1 variables. To accelerate resolution, variable neighborhood search heuristics are used both to get a good initial solution and to solve quickly the auxiliary problem as long as global optimality is not reached. Estimated bounds for the dual variables are deduced from the heuristic solution and used in the resolution process as a trust region. Proved minimum sum-of-squares partitions are determined for the rst time for several fairly large data sets from the literature, including Fisher's 150 iris.This research was supported by the Fonds National de la Recherche Scientifique Suisse, NSERC-Canada, and FCAR-Quebec

    Dielectric response of a polar fluid trapped in a spherical nanocavity

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    We present extensive Molecular Dynamics simulation results for the structure, static and dynamical response of a droplet of 1000 soft spheres carrying extended dipoles and confined to spherical cavities of radii R=2.5R=2.5, 3, and 4 nm embedded in a dielectric continuum of permittivity ϵ′≥1\epsilon' \geq 1. The polarisation of the external medium by the charge distribution inside the cavity is accounted for by appropriate image charges. We focus on the influence of the external permittivity ϵ′\epsilon' on the static and dynamic properties of the confined fluid. The density profile and local orientational order parameter of the dipoles turn out to be remarkably insensitive to ϵ′\epsilon'. Permittivity profiles ϵ(r)\epsilon(r) inside the spherical cavity are calculated from a generalised Kirkwood formula. These profiles oscillate in phase with the density profiles and go to a ``bulk'' value ϵb\epsilon_b away from the confining surface; ϵb\epsilon_b is only weakly dependent on ϵ′\epsilon', except for ϵ′=1\epsilon' = 1 (vacuum), and is strongly reduced compared to the permittivity of a uniform (bulk) fluid under comparable thermodynamic conditions. The dynamic relaxation of the total dipole moment of the sample is found to be strongly dependent on ϵ′\epsilon', and to exhibit oscillatory behaviour when ϵ′=1\epsilon'=1; the relaxation is an order of magnitude faster than in the bulk. The complex frequency-dependent permittivity ϵ(ω)\epsilon(\omega) is sensitive to ϵ′\epsilon' at low frequencies, and the zero frequency limit ϵ(ω=0)\epsilon(\omega=0) is systematically lower than the ``bulk'' value ϵb\epsilon_b of the static primitivity.Comment: 12 pages including 17 figure

    How `sticky' are short-range square-well fluids?

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    The aim of this work is to investigate to what extent the structural properties of a short-range square-well (SW) fluid of range λ\lambda at a given packing fraction and reduced temperature can be represented by those of a sticky-hard-sphere (SHS) fluid at the same packing fraction and an effective stickiness parameter τ\tau. Such an equivalence cannot hold for the radial distribution function since this function has a delta singularity at contact in the SHS case, while it has a jump discontinuity at r=λr=\lambda in the SW case. Therefore, the equivalence is explored with the cavity function y(r)y(r). Optimization of the agreement between y_{\sw} and y_{\shs} to first order in density suggests the choice for τ\tau. We have performed Monte Carlo (MC) simulations of the SW fluid for λ=1.05\lambda=1.05, 1.02, and 1.01 at several densities and temperatures T∗T^* such that τ=0.13\tau=0.13, 0.2, and 0.5. The resulting cavity functions have been compared with MC data of SHS fluids obtained by Miller and Frenkel [J. Phys: Cond. Matter 16, S4901 (2004)]. Although, at given values of η\eta and τ\tau, some local discrepancies between y_{\sw} and y_{\shs} exist (especially for λ=1.05\lambda=1.05), the SW data converge smoothly toward the SHS values as λ−1\lambda-1 decreases. The approximate mapping y_{\sw}\to y_{\shs} is exploited to estimate the internal energy and structure factor of the SW fluid from those of the SHS fluid. Taking for y_{\shs} the solution of the Percus--Yevick equation as well as the rational-function approximation, the radial distribution function g(r)g(r) of the SW fluid is theoretically estimated and a good agreement with our MC simulations is found. Finally, a similar study is carried out for short-range SW fluid mixtures.Comment: 14 pages, including 3 tables and 14 figures; v2: typo in Eq. (5.1) corrected, Fig. 14 redone, to be published in JC

    On the nonlocal viscosity kernel of mixtures

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    In this report we investigate the multiscale hydrodynamical response of a liquid as a function of mixture composition. This is done via a series of molecular dynamics simulations where the wave vector dependent viscosity kernel is computed for three mixtures each with 7-15 different compositions. We observe that the nonlocal viscosity kernel is dependent on composition for simple atomic mixtures for all the wave vectors studied here, however, for a model polymer melt mixture the kernel is independent of composition for large wave vectors. The deviation from ideal mixing is also studied. Here it is shown that a Lennard-Jones mixture follows the ideal mixing rule surprisingly well for a large range of wave vectors, whereas for both the Kob-Andersen mixture and the polymer melt large deviations are found. Furthermore, for the polymer melt the deviation is wave vector dependent such that there exists a critical length scale at which the ideal mixing goes from under-estimating to over-estimating the viscosity

    Different quantization mechanisms in single-electron pumps driven by surface acoustic waves

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    We have studied the acoustoelectric current in single-electron pumps driven by surface acoustic waves. We have found that in certain parameter ranges two different sets of quantized steps dominate the acoustoelectric current versus gate-voltage characteristics. In some cases, both types of quantized steps appear simultaneously though at different current values, as if they were superposed on each other. This could indicate two independent quantization mechanisms for the acoustoelectric current.Comment: 6 pages, 3 figure

    Three-body interactions in complex fluids: virial coefficients from simulation finite-size effects

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    A simulation technique is described for quantifying the contribution of three-body interactions to the thermodynamical properties of coarse-grained representations of complex fluids. The method is based on comparing the third virial coefficient B3B_3 for a complex fluid with that of an approximate coarse-grained model described by a pair potential. To obtain B3B_3 we introduce a new technique which expresses its value in terms of the measured volume-dependent asymptote of a certain structural function. The strategy is applicable to both Molecular Dynamics and Monte Carlo simulation. Its utility is illustrated via measurements of three-body effects in models of star polymer and highly size-asymmetrical colloid-polymer mixtures.Comment: 13 pages, 8 figure

    Time scale for the onset of Fickian diffusion in supercooled liquids

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    We propose a quantitative measure of a time scale on which Fickian diffusion sets in for supercooled liquids and use Brownian Dynamics computer simulations to determine the temperature dependence of this onset time in a Lennard-Jones binary mixture. The time for the onset of Fickian diffusion ranges between 6.5 and 31 times the Îą\alpha relaxation time (the Îą\alpha relaxation time is the characteristic relaxation time of the incoherent intermediate scattering function). The onset time increases faster with decreasing temperature than the Îą\alpha relaxation time. Mean squared displacement at the onset time increases with decreasing temperature
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