title: Evolution equation for tagged-particle density and correlations in single-file diffusion.
abstract: We derive and study a theoretical description for single-file diffusion, i.e., diffusion in a one-dimensional lattice of particles with hard core interaction. It is well known that for this system a tagged particle has anomalous diffusion for long times. The novelty of the present approach is that it allows for the derivation of correlations between a tagged particle and other particles of the system at a given distance with empty sites in between. The behavior of the correlation gives deeper insights into the processes involved. The numerical integration of differential equations are in good agreement with Monte Carlo simulations.
authors.affiliation: Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata and Instituto de Investigaciones Físicas de Mar del Plata (Consejo Nacional de Investigaciones Científicas y Técnicas), Funes 3350, 7600 Mar del Plata, Argentina.
authors.forename: Gonzalo
authors.initials: G
authors.lastname: Suárez
authors.forename: Miguel
authors.initials: M
authors.lastname: Hoyuelos
authors.forename: Héctor O
authors.initials: HO
authors.lastname: Mártin