Sandro Frigio

Computer simulation of shock waves in the completely asymmetric simple exclusion process

AbstractWe study the evolution of the completely asymmetric simple exclusion process in one dimension, with particles moving only to the right, for initial configurations corresponding to average densityρ− (ρ+) left (right) of the origin,ρ−⩽ρ+. The microscopic shock position is identified by introducing a “second-class” particle. Results indicate that the shock profile is stable, and that the distribution as seen from the shock positionN(t) tends, as time increases, to a limiting distribution, which is locally close to an equilibrium distribution far from the shock. Moreover

Exploding solutions of the complex two-dimensional Burgers equations: Computer simulations

N(t)_{\frown \,}^\smile V \cdot t

Diffusion and Einstein Relation for a Massive Particle in a One-Dimensional Free Fas: Numerical Evidence

, withV=1−ρ−−ρ+, as predicted, and the dispersion ofN(t), σ2(t), behaves linearly, for not too small values ofρ+−ρ−, i.e.,

Numerical Evidence for the Low-Mass Behavior of the One-Dimensional Rayleigh Gas with Local Interaction

\sigma ^2 (t)_{\frown \,}^\smile S \cdot t

Ising-Type and Other Transitions in One-Dimensional Coupled Map Lattices with Sign Symmetry

, whereS is equal, up to a scaling factor, to the valueSWA predicted in the weakly asymmetric case. Forρ+=ρ− we find agreement with the conjecture