Hydrodynamic limit of asymmetric exclusion processes under diffusive scaling in d≥3d\ge 3

We consider the asymmetric exclusion process. We start from a profile which is constant along the drift direction and prove that the density profile, under a diffusive rescaling of time, converges to the solution of a parabolic equation

Gaussian estimates for symmetric simple exclusion processes

We prove Gaussian tail estimates for the transition probability of $n$ particles evolving as symmetric exclusion processes on \bb Z^d, improving results obtained in \cite{l}. We derive from this result a non-equilibrium Boltzmann-Gibbs principle for the symmetric simple exclusion process in dimension 1 starting from a product measure with slowly varying parameter

Coupled dark energy: a dynamical analysis with complex scalar field

The dynamical analysis for coupled dark energy with dark matter is presented, where a complex scalar field is taken into account and it is considered in the presence of a barothropic fluid. We consider three dark energy candidates: quintessence, phantom and tachyon. The critical points are found and their stabilities analyzed, leading to the three cosmological eras (radiation, matter and dark energy), for a generic potential. The results presented here enlarge the previous analyses found in the literature.Comment: 9 pages, version accepted for publication in EPJC. arXiv admin note: text overlap with arXiv:1505.0324