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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.
Entropy of non-equilibrium stationary measures of boundary driven TASEP
Gonçalves, Patrícia; Bernardin, Cédric; Landim, CláudioProva tipográfica ; We examine the entropy of non-equilibrium stationary states of boundary driven totally asymmetric simple exclusion processes. As a consequence, we obtain that the Gibbs-Shannon entropy of the non equilibrium stationary state converges to the Gibbs-Shannon entropy of the local equilibrium state. Moreover, we prove that its fluctuations are Gaussian, except when the mean displacement of part...
Equilibrium fluctuations of additive functionals of zero-range models
Bernardin, Cédric; Gonçalves, Patrícia; Sethuraman, SunderFor mean-zero and asymmetric zero-range processes on $\Z^d$, the fluctuations of additive functionals starting from an invariant measure are considered. Under certain assumptions, we establish when the fluctuations are diffusive and satisfy functional central limit theorems. These results complement those for symmetric zero-range systems and also those for simple exclusion models already in the literature.
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