3,493 research outputs found
Hydrodynamic limit of asymmetric exclusion processes under diffusive scaling in
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
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
Metastability of reversible finite state Markov processes
We prove the metastable behavior of reversible Markov processes on finite
state spaces under minimal conditions on the jump rates. To illustrate the
result we deduce the metastable behavior of the Ising model with a small
magnetic field at very low temperature
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
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