Using the renormalization method introduced in [17], we prove what we call the local Boltzmann-Gibbs principle for conservative, stationary interacting particle systems in dimension d = 1. As… (More)

The purpose of this study was to determine the relationship between the hip point and the centre of mass for kinematical parameters (displacement, velocity and acceleration) in the three axes of… (More)

We consider the one-dimensional asymmetric simple exclusion process (asep) in which particles jump to the right at rate p ∈ (1/2, 1] and to the left at rate 1 − p, interacting by exclusion. In the… (More)

It is well known that the hydrodynamic limit of an interacting particle system satisfying a gradient condition (such as the zero-range process or the symmetric simple exclusion process) is given by a… (More)

We introduce what we call the second-order Boltzmann-Gibbs principle, which allows to replace local functionals of a conservative, onedimensional stochastic process by a possibly nonlinear function… (More)

We consider a harmonic chain perturbed by an energy conserving noise depending on a parameter γ . When γ is of order one, the energy diffuses according to the standard heat equation after a… (More)

We prove a law of large numbers and a central limit theorem for a tagged particle in a symmetric simple exclusion process in Z with variable diffusion coefficient. The scaling limits are obtained… (More)

We consider a Hamiltonian lattice field model with two conserved quantities, energy and volume, perturbed by stochastic noise preserving the two previous quantities. It is known that this model… (More)

We 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… (More)