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arXiv · 1110.3635

Ensemble Equivalence for Counterion Condensation on a Two Dimensional Charged Disc

Anoop Varghese·Satyavani Vemparala·R. Rajesh
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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.

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Anoop Varghese, Satyavani Vemparala, R. Rajesh. 2011-10-17. Ensemble Equivalence for Counterion Condensation on a Two Dimensional Charged Disc. https://doi.org/10.1103/physreve.85.011119

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