EXACT ANALYTICAL DESCRIPTION OF TRACER EXCHANGE AND PARTICLE CONVERSION IN SINGLE-FILE SYSTEMS

The finite single-file system (diffusion in one dimension where the mu tual passage of particles is inhibited) with particle exchange at the margins and an attractive nearest-neighbor particle-particle interacti on is investigated. As the central quantity, the residence time distri bution is introduced and related to experimentally observable quantiti es concerning tracer exchange and conversion. Exact equations determin ing these quantities are derived. The numerical solution yields the de pendence of these quantities on the system parameters. In addition, th e correlations in the single-file system are considered.