title: Exact cluster size distribution in the one-dimensional Ising model.
abstract: The exact solution for the cluster size distribution in the one-dimensional Ising model is obtained. In the thermodynamic limit the result is a simple analytical formula which gives the normalized number of clusters of different sizes. The analytical prediction is compared with Monte Carlo simulations and the energy dependence of the distribution is studied.
authors.affiliation: Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, USA.
authors.forename: M B
authors.initials: MB
authors.lastname: Yilmaz
authors.forename: Frank M
authors.initials: FM
authors.lastname: Zimmermann