935 resultados para First and Second Order Directional Derivatives


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We present the first detailed numerical study in three dimensions of a first-order phase transition that remains first order in the presence of quenched disorder (specifically, the ferromagnetic-paramagnetic transition of the site-diluted four states Potts model). A tricritical point, which lies surprisingly near the pure-system limit and is studied by means of finite-size scaling, separates the first-order and second-order parts of the critical line. This investigation has been made possible by a new definition of the disorder average that avoids the diverging-variance probability distributions that plague the standard approach. Entropy, rather than free energy, is the basic object in this approach that exploits a recently introduced microcanonical Monte Carlo method.

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We present a detailed numerical study on the effects of adding quenched impurities to a three dimensional system which in the pure case undergoes a strong first order phase transition (specifically, the ferromagnetic/paramagnetic transition of the site-diluted four states Potts model). We can state that the transition remains first-order in the presence of quenched disorder (a small amount of it) but it turns out to be second order as more impurities are added. A tricritical point, which is studied by means of Finite-Size Scaling, separates the first-order and second-order parts of the critical line. The results were made possible by a new definition of the disorder average that avoids the diverging-variance probability distributions that arise using the standard methodology. We also made use of a recently proposed microcanonical Monte Carlo method in which entropy, instead of free energy, is the basic quantity.

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Starting from the idea that European elections cannot be considered as purely second order elections, the author gathers some proposals in order to encourage a more effective electoral process. According to the author, if political leaders adopt these reforms, it could transform gradually the European elections into genuine ‘first-order supranational elections’.

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Starting from the idea that European elections cannot be considered as purely second order elections, the author gathers some proposals in order to encourage a more effective electoral process. According to the author, if political leaders adopt these reforms, it could transform gradually the European elections into genuine ‘first-order supranational elections’.

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Fluorescent proteins have proven to be important tools for in vitro live imaging of parasites and for imaging of parasites within the living host by intravital microscopy. We observed that a red fluorescent transgenic malaria parasite of rodents, Plasmodium berghei-RedStar, is suitable for in vitro live imaging experiments but bleaches rapidly upon illumination in intravital imaging experiments using mice. We have therefore generated two additional transgenic parasite lines expressing the novel red fluorescent proteins tdTomato and mCherry, which have been reported to be much more photostable than first- and second-generation red fluorescent proteins including RedStar. We have compared all three red fluorescent parasite lines for their use in in vitro live and intravital imaging of P. berghei blood and liver parasite stages, using both confocal and wide-field microscopy. While tdTomato bleached almost as rapidly as RedStar, mCherry showed improved photostability and was bright in all experiments performed.