Finite-size scaling above the upper critical dimension is a long-standing puzzle in the field of statistical physics. Even for pure systems various scaling theories have been suggested, partially corroborated by numerical simulations. In the present manuscript we address this problem in the even more complicated case of disordered systems.
View Article and Find Full Text PDFWe provide a nontrivial test of supersymmetry in the random-field Ising model at five spatial dimensions, by means of extensive zero-temperature numerical simulations. Indeed, supersymmetry relates correlation functions in a D-dimensional disordered system with some other correlation functions in a D-2 clean system. We first show how to check these relationships in a finite-size scaling calculation and then perform a high-accuracy test.
View Article and Find Full Text PDFThe random-field Ising model is one of the few disordered systems where the perturbative renormalization group can be carried out to all orders of perturbation theory. This analysis predicts dimensional reduction, i.e.
View Article and Find Full Text PDFAccording to current recommendations, patients on dabigatran should stop the drug 24-96 h before scheduled surgery. This may seem too long for non-elective cases. The aim of our study was to assess the number of patients on dabigatran who could theoretically undergo surgery 12 h post last drug dosing.
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