The last decades have seen considerable efforts to understand nonequilibrium absorbing phase transitions from an active phase into an absorbing phase consisting of absorbing states [1]. Once the system is trapped into an absorbing state, it can never escape from the state. Various one dimensional lattice models exhibiting absorbing transitions have been studied, and most of them turn out to bel...

Multi-walled carbon nanotube (MWCNT)/Portland cement (PC) composites have been prepared to evaluate their electromagnetic wave absorbing properties. The effects of MWCNTs content and sample thickness were discussed in the frequency ranges of 2–18 GHz. Results show that the absorbing properties of cement-based composites are affected by the content of MWCNT and the thickness of the samples. When...

Iran is located in an area with high earthquake risk. There are over 20 active faults with length of 500 km and also densely populated parts of the country have been rendered vulnerable to strong earthquakes. However, existence of eight faults of the main faults of Iran along with at least 18 faults with length of more than 100 km in Kerman province have turned the place into one of the riskies...

The phase transitions to absorbing states of the branching-annihilating reaction-diffusion processes mA-->(m+k)A, nA-->(n-l)A are studied systematically in one space dimension within a new family of models. Four universality classes of nontrivial critical behavior are found. This provides, in particular, the first evidence of universal scaling laws for pair and triplet processes.

We consider the linear Boltzmann equation in R, d ∈ N, under the effect of an absorbing moving barrier. We prove existence and uniqueness of the solution and consider the problem of the timeasymptotic convergence to equilibrium. We then propose a numerical strategy to study the problem and provide quantitative results concerning some relevant test cases.

A new theorem is applied to the Kuramoto-Sivashinsky equation with L-periodic boundary conditions, proving the existence of an asymptotically complete inertial manifold attracting all initial data. Combining this result with a new estimate of the size of the globally absorbing set yields an improved estimate of the dimension, N ∼ L.