CALCULATING EXACT PROPAGATORS IN SINGLE-FILE SYSTEMS VIA THE REFLECTION PRINCIPLE

The dynamics of tagged particles in diffusive single-file systems (one -dimensional systems where the particles are not able to pass each oth er) is investigated. The presented approach, based on the reflection p rinciple, yields exact propagators for quite a general class of system s. Examples are considered explicitly and compared both with results o f computer simulations and, in one case, with the asymptotic behavior known from the literature. Practical implications of the results to th e interpretation of data from scattering experiments and to the applic ation of single files for the controlled release of particles are disc ussed.