Encontrados 55 documentos, a visualizar página 1 de 6
Occupation time of exclusion processes with conductances
Franco, Tertuliano; Gonçalves, Patrícia; Neumann, AdrianaEm publicação em "Journal of statistical physics". ISSN 0022-4715. ; We obtain the fluctuations for the occupation time of one-dimensional symmetric exclusion processes with speed change, where the transition rates ({\em conductances}) are driven by a general function $W$. The approach does not require sharp bounds on the spectral gap of the system nor the jump rates to be bounded from above or below. We pres...
On the asymmetric zero-range in the rarefaction fan
Gonçalves, PatríciaEm publicação ; We consider one-dimensional asymmetric zero-range processes starting from a step decreasing profile leading, in the hydrodynamic limit, to the rarefaction fan of the associated hydrodynamic equation. Under that initial condition, and for {\em{ totally asymmetric jumps}}, we show that the weighted sum of joint probabilities for second class particles sharing the same site is convergent and we co...
O comportamento adaptativo e os apoios
Gonçalves, Patrícia ManuelMestrado em Reabilitação Psicomotora ; Assiste-se, atualmente, a uma mudança de paradigma no seio das práticas e das pesquisas no campo da dificuldade intelectual e desenvolvimental. Com efeito, a dificuldade intelectual e desenvolvimental passou a ser considerada como um estado multidimensional do funcionamento humano, onde os apoios assumem um papel crucial na supressão das dificuldades da pessoa. Apreende-s...
Hydrodynamical behavior of symmetric exclusion with slow bonds
Franco, Tertuliano; Gonçalves, Patrícia; Neumann, AdrianaWe consider the exclusion process in the one-dimensional discrete torus with $N$ points, where all the bonds have conductance one, except a finite number of slow bonds, with conductance $N^{-\beta}$, with $\beta\in[0,\infty)$. We prove that the time evolution of the empirical density of particles, in the diffusive scaling, has a distinct behavior according to the range of the parameter $\beta$. If $\beta\in [0,...
Phase transition of a heat equation with Robin's boundary conditions and exclus...
Gonçalves, Patrícia; Franco, Tertuliano; Neumann, AdrianaFor a heat equation with Robin's boundary conditions which depends on a parameter $\alpha>0$, we prove that its unique weak solution $\rho^\alpha$ converges, when $\alpha$ goes to zero or to infinity, to the unique weak solution of the heat equation with Neumann's boundary conditions or the heat equation with periodic boundary conditions, respectively. To this end, we use uniform bounds on a Sobolev norm of $...
Anomalous fluctuations for a perturbed Hamiltonian system with exponential inte...
Gonçalves, Patrícia; Bernardin, CédricA one-dimensional Hamiltonian system with exponential interactions perturbed by a conservative noise is considered. It is proved that energy superdiffuses and upper and lower bounds describing this anomalous diffusion are obtained.
A stochastic Burgers equation from a class of microscopic interactions
Gonçalves, Patrícia; Jara, Milton; Sethuraman, SunderDocumento submetido para revisão pelos pares. A publicar em Annals of Probability. ISSN 0091-1798 ; We consider a class of nearest-neighbor weakly asymmetric mass conservative particle systems evolving on $\mathbb{Z}$, which includes zero-range and types of exclusion processes, starting from a perturbation of a stationary state. When the weak asymmetry is of order $O(n^\gamma)$ for $1/2<\gamma\leq 1$, we show...
Phase transition in equilibrium fluctuations of symmetric slowed exclusion
Franco, Tertuliano; Gonçalves, Patrícia; Neumann, AdrianWe analyze the equilibrium fluctuations of density, current and tagged particle in symmetric exclusion with a slow bond. The system evolves in the one-dimensional lattice and the jump rate is everywhere equal to one except at the slow bond where it is $\alpha n^-\beta$, with $\alpha,\beta\geq{0}$ and $n$ is the scaling parameter. Depending on the regime of $\beta$, we find three different behaviors for the li...
Scaling limits of additive functionals of interacting particle systems
Gonçalves, Patrícia; Jara, MiltonEm publicação ; Using the renormalization method introduced in [arXiv:1003.4478v1], we prove what we call the local Boltzmann-Gibbs principle for conservative, stationary interacting particle systems in dimension d=1. As applications of this result, we obtain various scaling limits of additive functionals of particle systems, like the occupation time of a given site or extensive additive fields of the dynamics...
Occupation times of exclusion processes
Gonçalves, PatríciaEm publicação ; In this paper we consider exclusion processes $\{\eta_t: t\geq{0}\}$ evolving on the one-dimensional lattice $\mathbb{Z}$, under the diffusive time scale $tn^2$ and starting from the invariant state $\nu_\rho$ - the Bernoulli product measure of parameter $\rho\in{[0,1]}$. Our goal consists in establishing the scaling limits of the additive functional $\Gamma_t:=\int_{0}^{tn^2} \eta_s(0)\, ds$ -...
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