2,008 research outputs found

    The friendship paradox in scale-free networks

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    Our friends have more friends than we do. That is the basis of the friendship paradox. In mathematical terms, the mean number of friends of friends is higher than the mean number of friends. In the present study, we analyzed the relationship between the mean degree of vertices (individuals), , and the mean number of friends of friends, , in scale-free networks with degrees ranging from a minimum degree (k_min) to a maximum degree (k_max). We deduced an expression for - for scale-free networks following a power-law distribution with a given scaling parameter (alpha). Based on this expression, we can quantify how the degree distribution of a scale-free network affects the mean number of friends of friends.Comment: 9 pages, 2 figure

    Optical Pumping of TeH+: Implications for the Search for Varying mp/me

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    Molecular overtone transitions provide optical frequency transitions sensitive to variation in the proton-to-electron mass ratio (μ≡mp/me\mu\equiv m_p/m_e). However, robust molecular state preparation presents a challenge critical for achieving high precision. Here, we characterize infrared and optical-frequency broadband laser cooling schemes for TeH+^+, a species with multiple electronic transitions amenable to sustained laser control. Using rate equations to simulate laser cooling population dynamics, we estimate the fractional sensitivity to μ\mu attainable using TeH+^+. We find that laser cooling of TeH+^+ can lead to significant improvements on current μ\mu variation limits

    Structural and magnetic behavior of the S=2 layered ferromagnet CsMnF4 under hydrostatic pressure

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    Under the terms of the Creative Commons Attribution License 3.0 (CC-BY).Pressure-induced transformations in the structural and magnetic properties of CsMnF4 are reported. This behavior is analyzed in the framework of magnetostructural correlations within the layered perovskite AMnF4 (A=Cs,Rb,K) series by using magnetic susceptibility and synchrotron x-ray powder-diffraction techniques as a function of temperature and hydrostatic pressure.We would like to thank C.I.C.Y.T. for Grants Nos. MAT94-43 and MAT91-681, U.K. Science Ez. Engineering Research Council for providing Synchrotron Radiation beam time under the E.C. Large Scale Facilities Programme, CNPq and the Programa de Cooperacion Cientifica con Iberoamerica.Peer Reviewe

    The Kardar-Parisi-Zhang exponents for the 2+12+1 dimensions

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    The Kardar-Parisi-Zhang (KPZ) equation has been connected to a large number of important stochastic processes in physics, chemistry and growth phenomena, ranging from classical to quantum physics. The central quest in this field is the search for ever more precise universal growth exponents. Notably, exact growth exponents are only known for 1+11+1 dimensions. In this work, we present physical and geometric analytical methods that directly associate these exponents to the fractal dimension of the rough interface. Based on this, we determine the growth exponents for the 2+12+1 dimensions, which are in agreement with the results of thin films experiments and precise simulations. We also make a first step towards a solution in d+1d+1 dimensions, where our results suggest the inexistence of an upper critical dimension
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