Berker, A. NihatArtun, E. Can2026-03-152026-03-1520260378-43711873-2119https://hdl.handle.net/20.500.12469/7791https://doi.org/10.1016/j.physa.2026.131387The Blume-Capel model in one dimension with long-range power-law interactions is studied by renormalization-group theory. A series of finite-temperature tricritical phase diagrams is found, as a function of the power-law exponent of the power-law interactions. These calculated phase diagrams exhibit a giant reentrance in the form disorder-order-disorder as temperature is lowered. The first-order transition takes over the entire phase boundary at longest-range interactions, as a near-equivalent-neighbor regime is approached.eninfo:eu-repo/semantics/closedAccessNiemeyer-van Leeuwen Renormalization GroupNiemeyer–van Leeuwen Renormalization GroupBlume–Capel ModelBlume-Capel ModelReverse-Temperature Phase TransitionsGiant Phase ReentranceFinite-Temperature Tricitical Phase DiagramLong-Range InteractionsArticle10.1016/j.physa.2026.1313872-s2.0-105030888138