@article{Benbouzid_Chala_Maache_2023, title={Effect of long-rang interactions on the Kosterlitz-Thouless transition}, volume={17}, url={https://oiccpress.com/journal-of-theoretical-and-applied-physics/article/effect-of-long-rang-interactions-on-the-kosterlitz-thouless-transition/}, DOI={10.57647/J.JTAP.2023.1703.30}, abstractNote={The two-dimensional XY model of continuous spins on a square lattice is studied by Monte Carlo simulations in the nonextensive statistical approach of Tsallis, using the Metropolis algorithm with a transition probability of the nonextensive approach. Energy per spin, magnetization per spin, heat capacity, magnetic susceptibility, Binder cumulant of the magnetization and Binder cumulant of the energy are calculated in a temperature interval between 0.02 and 2 with a step of 0.02, for square lattice sizes considered between 122 and 482, with periodic boundary conditions, and for discrete values of the Tsallis entropic index q used between 0.99 and 0.5. It has been found that the Kosterlitz-Thouless transition is well observed and modified for q=0.99 and 0.9 ; its critical temperature decreases when q decreases. A particular behavior of the system evolution is observed for q=0.8 and 0.7. The absence of phase transitions was confirmed for q ≤ 0.6.}, number={3}, journal={Journal of Theoretical and Applied Physics}, publisher={OICC Press}, author={Benbouzid, Yazid and Chala, Slimane and Maache, Mostefa}, year={2023}, month={Nov.}, keywords={Tsallis statistics, Two-dimensional XY model, Kosterlitz-Thouless transition, Monte Carlo simulation} }