A reaction-diffusion equation is studied in a time-dependent interval whose length varies with time. The reaction term either linear or of KPP type. On fixed interval, it well-known that if the less than certain critical value then solution tends to zero. When domain may vary time, we prove conditions under which does and not converge zero long We show that, even always strictly 'critical lengt...

– We report numerical simulations of a strongly biased diffusion process on a one-dimensional substrate with directed shortcuts between randomly chosen sites, i.e. with a small-world-like structure. We find that, unlike many other dynamical phenomena on smallworld networks, this process exhibits non-monotonic dependence on the density of shortcuts. Specifically, the diffusion time over a finite...

Bismuth triiodide is a lead-free direct wide-bandgap solution-processable semiconductor that could be an alternative to lead-based perovskites in tandem or multijunction solar cells. However, the power conversion efficiency of single-junction BiI3 cells remains low. Here, we determine main loss mechanisms both n-i-p and p-i-n architectures. Overall, devices have higher than n-i-p. It found (and...

We study the competition between domain coarsening in a symmetric binary mixture below critical temperature and turbulent fluctuations. We find that the coarsening process is arrested in the presence of turbulence. The physics of the process shares remarkable similarities with the behavior of diluted turbulent emulsions and the arrest length scale can be estimated with an argument similar to th...