Joule–Thomson expansion of the torus-like black hole

In this paper, we study the Joule–Thomson expansion of torus-like black hole in extended phase space, where cosmological constant is determined by pressure. It noteworthy that has a horizon toroidal topology, rather than spherical topology. We both inversion and isenthalpic curves holes $$T-P$$ plane find their intersection coincides with point distinguishes heat cooling process. Compared to Van der Waals fluid, do not end at any only lower are available. Most importantly, $$P - V$$ diagram no inflection point, i.e., always thermally stable. Therefore, critical temperature, there ratio between minimum temperature temperature. This completely different from