Ensemble Equivalence for Counterion Condensation on a Two Dimensional Charged Disc
Statistical Mechanics
2012-12-04 v1
Abstract
We study the counterion condensation on a two dimensional charged disc 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.
Keywords
Cite
@article{arxiv.1110.3635,
title = {Ensemble Equivalence for Counterion Condensation on a Two Dimensional Charged Disc},
author = {Anoop Varghese and Satyavani Vemparala and R. Rajesh},
journal= {arXiv preprint arXiv:1110.3635},
year = {2012}
}
Comments
4 pages, 2 figures