We study the critical behavior of the random digraph D(n, p) for np = 1+ε, where ε = ε(n) = o(n). We show that if εn → −∞, then a.a.s. D(n, p) consists of components which are either isolated vertices or directed cycles, each of size Op(|ε|). On the other hand, if εn →∞, then a.a.s. the structure of D(n, p) is dominated by the unique complex component of size (4 + o(1))εn, while all other compo...

Component-based architectures are widely used in embedded systems. For managing complexity and improving quality separation of concerns is one of the most important principles. For one component, separation of concerns is realized by defining the overall component functionality by separated protocol behaviors. One of the main challenges of applying separation of concerns is the later automatic ...

We have investigated the magnetic phase transition in amorphous Fe93Zr7(x Å)/Co95Zr5(1 Å) multilayers, where x = 25, 50, and 75. The extremely thin CoZr layer induces magnetic order at temperatures well above the inherent ordering temperature of Fe93Zr7. The changes in the critical exponent β, associated with the temperature dependence of themagnetization, imply a crossover from twoto three-dim...

determination of critical points on hot stress-strain curve of metals is crucial in thermo-mechanical processes design. in this investigation a mathematical modeling is given to illustrate the behavior of metal during hot deformation processes such as hot rolling. the critical strain for the onset of dynamic recrystallization has been obtained as a function of strain at the maximum stress. in a...

In this paper, the modified Euler-Bernoulli beam model is presented to examine the influence of surface elasticity and residual surface tension on the critical force of axial buckling of nanotubes in the presence of rotary inertia. An explicit solution is derived for the buckling loads of microscaled Euler beams considering surface effects. The size-dependent buckling behavior of the nanotube d...

the existence of infinitely many solutions is established for a class of nonlinear functionals involving the p-biharmonic operator with nonhomoge- neous neumann boundary conditions. using a recent critical-point theorem for nonsmooth functionals and under appropriate behavior of the nonlinear term and nonhomogeneous neumann boundary conditions, we obtain the result.