title: Reply to "Comment on 'Thomson rings in a disk' ".
abstract: We demonstrate that our model [Phys. Rev. E 91, 032312 (2015)PLEEE81539-375510.1103/PhysRevE.91.032312] serves as a useful tool to trace the evolution of equilibrium configurations of one-component charged particles confined in a disk. Our approach reduces significantly the computational effort in minimizing the energy of equilibrium configurations, and it demonstrates a remarkable agreement with the values provided by molecular-dynamics calculations. We show that the Comment misrepresents our paper and fails to provide plausible arguments against the formation hexagonal structure for n≥200 in molecular-dynamics calculations.
authors.affiliation: Departament de Física, Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain.
authors.forename: A
authors.initials: A
authors.lastname: Puente
authors.affiliation: Departament de Física, Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain.|Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia.
authors.forename: R G
authors.initials: RG
authors.lastname: Nazmitdinov
authors.affiliation: Department of Theory of Structure of Matter, Institute of Nuclear Physics PAN, 31-342 Cracow, Poland.
authors.forename: M
authors.initials: M
authors.lastname: Cerkaski
authors.affiliation: Kirensky Institute of Physics, 660036 Krasnoyarsk, Russia.
authors.forename: K N
authors.initials: KN
authors.lastname: Pichugin