9,751 research outputs found

    Dynamic Critical Behavior of Percolation Observables in the 2d Ising Model

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    We present preliminary results of our numerical study of the critical dynamics of percolation observables for the two-dimensional Ising model. We consider the (Monte-Carlo) short-time evolution of the system obtained with a local heat-bath method and with the global Swendsen-Wang algorithm. In both cases, we find qualitatively different dynamic behaviors for the magnetization and Omega, the order parameter of the percolation transition. This may have implications for the recent attempts to describe the dynamics of the QCD phase transition using cluster observables.Comment: 3 pages, 1 figur

    Spinors Fields in Co-dimension One Braneworlds

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    In this work we analyze the zero mode localization and resonances of 1/2−1/2-spin fermions in co-dimension one Randall-Sundrum braneworld scenarios. We consider delta-like, domain walls and deformed domain walls membranes. Beyond the influence of the spacetime dimension DD we also consider three types of couplings: (i) the standard Yukawa coupling with the scalar field and parameter η1\eta_1, (ii) a Yukawa-dilaton coupling with two parameters η2\eta_2 and λ\lambda and (iii) a dilaton derivative coupling with parameter hh. Together with the deformation parameter ss, we end up with five free parameter to be considered. For the zero mode we find that the localization is dependent of DD, because the spinorial representation changes when the bulk dimensionality is odd or even and must be treated separately. For case (i) we find that in odd dimensions only one chirality can be localized and for even dimension a massless Dirac spinor is trapped over the brane. In the cases (ii) and (iii) we find that for some values of the parameters, both chiralities can be localized in odd dimensions and for even dimensions we obtain that the massless Dirac spinor is trapped over the brane. We also calculated numerically resonances for cases (ii) and (iii) by using the transfer matrix method. We find that, for deformed defects, the increasing of DD induces a shift in the peaks of resonances. For a given λ\lambda with domain walls, we find that the resonances can show up by changing the spacetime dimensionality. For example, the same case in D=5D=5 do not induces resonances but when we consider D=10D=10 one peak of resonance is found. Therefore the introduction of more dimensions, diversely from the bosonic case, can change drastically the zero mode and resonances in fermion fields.Comment: 28 pages, 7 figure

    Affective Science

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    Decay of distance autocorrelation and Lyapunov exponents

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    This work presents numerical evidences that for discrete dynamical systems with one positive Lyapunov exponent the decay of the distance autocorrelation is always related to the Lyapunov exponent. Distinct decay laws for the distance autocorrelation are observed for different systems, namely exponential decays for the quadratic map, logarithmic for the H\'enon map and power-law for the conservative standard map. In all these cases the decay exponent is close to the positive Lyapunov exponent. For hyperbolic conservative systems, the power-law decay of the distance autocorrelation tends to be guided by the smallest Lyapunov exponent.Comment: 7 pages, 8 figure

    Supersymmetrization of the Radiation Damping

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    We construct a supersymmetrized version of the model to the radiation damping \cite{03} introduced by the present authors \cite{ACWF}. We dicuss its symmetries and the corresponding conserved Noether charges. It is shown this supersymmetric version provides a supersymmetric generalization of the Galilei algebra obtained in \cite{ACWF}. We have shown that the supersymmetric action can be splited into dynamically independent external and internal sectors.Comment: 9 page
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