Ensemble Equivalence for Counterion Condensation on a Two Dimensional Charged Disc

Autor:	Varghese, Anoop, Vemparala, Satyavani, Rajesh, R.
Rok vydání:	2011
Předmět:	Condensed Matter - Statistical Mechanics
Zdroj:	Phys. Rev. E 85, 011119 (2012)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.85.011119
Popis:	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. Comment: 4 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1110.3635 Zobrazit plný text záznamu View this record from Arxiv