In this article we study asymptotic properties of certain discrete groups acting by isometries on a product X D X 1 X 2 of locally compact Hadamard spaces which admit a geodesic without flat half-plane. The motivation comes from the fact that KacMoody groups over finite fields, which can be seen as generalizations of arithmetic groups over function fields, belong to the considered class of groups. Hence one may ask whether classical properties of discrete subgroups of higher rank Lie groups as in Benoist [5] and Quint [16] hold in this context.In the first part of the paper we describe the structure of the geometric limit set of and prove statements analogous to the results of Benoist in [5]. The second part is concerned with the exponential growth rate ı  ./ of orbit points in X with a prescribed "slope"  2 .0; =2/, which appropriately generalizes the critical exponent in higher rank. In analogy to Quint's result in [16] we show that the homogeneous extension ‰ to R 2 0 of ı  ./ as a function of  is upper semicontinuous and concave.20F69, 51F99; 53C23, 20G15, 22D40, 51E24
For the fabrication of carbon fibre reinforced composites used in aerospace industry, microwave curing technologies are more effective than traditional thermal curing technologies. However, the manufacturer's recommended cure cycles used in traditional autoclave curing are directly adopted into current microwave curing technologies without thorough validation. Here, a new cyclic heating and cooling methodology for microwave curing process control of composite is proposed by analyzing mechanisms of heat conduction, stress generation and curing kinetics. The results of the experiment carried out show significant reductions in residual strain, warpage, total curing time and energy consumption, compared with both traditional thermal curing and current microwave curing technologies. The mechanical properties of samples cured by the new process are compared with the autoclave cured ones.
A spherical pore in the ionic crystalline material subjected to a linearly polarized microwave radiation is shown to flatten along the electric field vector. The deformation of the pore occurs due to rectification of high-frequency flows of charged vacancies in the course of their nonlinear interaction with the electric field near the pore surface. The estimates show that the effect is most pronounced in the materials with a significant contribution of mobile vacancies into microwave absorption. Preferred orientation of pores has been observed experimentally in a zirconia ceramic sample sintered under heating by a linearly polarized microwave radiation.
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