Artun E.C.Berker A.N.2026-03-052026-03-0520260378-4371https://doi.org/10.1016/j.physa.2026.131387https://hdl.handle.net/20.500.11779/3236The 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. © 2026 Elsevier B.V.eninfo:eu-repo/semantics/closedAccessBlume–Capel ModelFinite-Temperature Tricritical Phase DiagramGiant Phase ReentranceLong-Range InteractionsNiemeyer–Van Leeuwen Renormalization GroupReverse-Temperature Phase TransitionsArticle10.1016/j.physa.2026.1313872-s2.0-105030888138