“Islands in Sea” and “Lakes in Mainland” phases and related transitions simulated on a square lattice Tajkera Khatun, Tapati Dutta and Sujata Tarafdar Eur. Phys. J. B, 90 11 (2017) 213 Published online: 07 November 2017 DOI: 10.1140/epjb/e2017-80365-3