4,903 research outputs found

    Response Functions to Critical Shocks in Social Sciences: An Empirical and Numerical Study

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    We show that, provided one focuses on properly selected episodes, one can apply to the social sciences the same observational strategy that has proved successful in natural sciences such as astrophysics or geodynamics. For instance, in order to probe the cohesion of a policy, one can, in different countries, study the reactions to some huge and sudden exogenous shocks, which we call Dirac shocks. This approach naturally leads to the notion of structural (as opposed or complementary to temporal) forecast. Although structural predictions are by far the most common way to test theories in the natural sciences, they have been much less used in the social sciences. The Dirac shock approach opens the way to testing structural predictions in the social sciences. The examples reported here suggest that critical events are able to reveal pre-existing ``cracks'' because they probe the social cohesion which is an indicator and predictor of future evolution of the system, and in some cases foreshadows a bifurcation. We complement our empirical work with numerical simulations of the response function (``damage spreading'') to Dirac shocks in the Sznajd model of consensus build-up. We quantify the slow relaxation of the difference between perturbed and unperturbed systems, the conditions under which the consensus is modified by the shock and the large variability from one realization to another

    Possible manifestation of spin fluctuations in the temperature behavior of resistivity in Sm_{1.85}Ce_{0.15}CuO_4 thin films

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    A pronounced step-like (kink) behavior in the temperature dependence of resistivity ρ(T)\rho (T) is observed in the optimally-doped Sm1.85Ce0.15CuO4Sm_{1.85}Ce_{0.15}CuO_4 thin films around Tsf=87KT_{sf}=87K and attributed to manifestation of strong spin fluctuations induced by Sm3+Sm^{3+} moments with the energy ωsf=kBTsf7meV\hbar \omega_{sf}=k_BT_{sf}\simeq 7meV. In addition to fluctuation induced contribution ρsf(T)\rho_{sf}(T) due to thermal broadening effects (of the width ωsf\omega_{sf}), the experimental data are found to be well fitted accounting for residual (zero-temperature) ρres\rho_{res}, electron-phonon ρeph(T)=AT\rho _{e-ph}(T)=AT and electron-electron ρee(T)=BT2\rho_{e-e}(T)=BT^2 contributions. The best fits produced ωp=2.1meV\omega_p=2.1meV, τ01=9.5×1014s1\tau_0^{-1}=9.5\times 10^{-14}s^{-1}, λ=1.2\lambda =1.2, and EF=0.2eVE_F=0.2eV for estimates of the plasmon frequency, the impurity scattering rate, electron-phonon coupling constant, and the Fermi energy, respectively.Comment: 6 pages (REVTEX4), 2 EPS figures; accepted for publication in JETP Letter
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