86,166 research outputs found

    Critical curvature of large-NN nonlinear O(N)O(N) sigma model on S2S^2

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    We study the nonlinear O(N)O(N) sigma model on S2S^2 with the gravitational coupling term, by evaluating the effective potential in the large-NN limit. It is shown that there is a critical curvature RcR_c of S2S^2 for any positive gravitational coupling constant ξ\xi, and the dynamical mass generation takes place only when R<RcR<R_c. The critical curvature is analytically found as a function of ξ\xi (>0)(>0), which leads us to define a function looking like a natural generalization of Euler-Mascheroni constant.Comment: 7 pages, LaTe

    Real-time imaging of pulvinus bending in Mimosa pudica

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    Mimosa pudica is a plant that rapidly shrinks its body in response to external stimuli. M. pudica does not perform merely simple movements, but exhibits a variety of movements that quickly change depending on the type of stimuli. Previous studies have investigated the motile mechanism of the plants from a biochemical perspective. However, an interdisciplinary study on the structural characteristics of M. pudica should be accompanied by biophysical research to explain the principles underlying such movements. In this study, the structural characteristics and seismonastic reactions of M. pudica were experimentally investigated using advanced bio-imaging techniques. The results show that the key factors for the flexible movements by the pulvinus are the following: bendable xylem bundle, expandable/shrinkable epidermis, tiny wrinkles for surface modification, and a xylem vessel network for efficient water transport. This study provides new insight for better understanding the M. pudica motile mechanism through structural modification.open1111Nsciescopu

    State space mixed models for longitudinal obsservations with binary and binomial responses

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    We propose a new class of state space models for longitudinal discrete response data where the observation equation is specified in an additive form involving both deterministic and random linear predictors. These models allow us to explicitly address the effects of trend, seaonal or other time-varying covariates while preserving the power of state space models in modeling serial dependence in the data. We develop a Markov Chain Monte Carlo algorithm to carry out statistical inferene for models with binary and binomial responses, in which we invoke de Jong and Shephard's (1995) simulaton smoother to establish an efficent sampling procedure for the state variables. To quantify and control the sensitivity of posteriors on the priors of variance parameters, we add a signal-to-noise ratio type parmeter in the specification of these priors. Finally, we ilustrate the applicability of the proposed state space mixed models for longitudinal binomial response data in both simulation studies and data examples
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