title: Ensemble equivalence for counterion condensation on a two-dimensional charged disk.
abstract: We study the counterion condensation on a two-dimensional charged disk in the limit of infinite dilution, and compare the energy-temperature relation obtained from the canonical free energy and microcanonical entropy. The microcanonical entropy is piecewise linear in energy, and is shown to be concave for all energies. As a result, even though the interactions are long-ranged, the energy-temperature relation and hence the counterion condensation transition points are identical in both the ensembles.
authors.affiliation: The Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai 600113, India. anoop@imsc.res.in
authors.forename: Anoop
authors.initials: A
authors.lastname: Varghese
authors.forename: Satyavani
authors.initials: S
authors.lastname: Vemparala
authors.forename: R
authors.initials: R
authors.lastname: Rajesh
mesh_terms: D003198:Computer Simulation; D004735:Energy Transfer; D007477:Ions / Q000737:chemistry*; D008956:Models, Chemical; D055672:Static Electricity
chemical_list: D007477:Ions