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The Blume–Capel model is a <spin model> with $\sigma_i\in\{-1,0,1\}$ and Hamiltonian
$$
H=-J\sum_{\langle i,j\rangle}\sigma_i\sigma_j+D\sum_i\sigma_i^2-h\sum_i\sigma_i.
$$
Competition between the <Ising model>[Ising interaction] and the single-ion anisotropy $D$ produces a <tricritical point> in its phase diagram.

= Spin-1 Ising model
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Blume–Capel model

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A spin model assigns a discrete or continuous spin variable to each site of a <lattice> or vertex of a graph and gives interacting configurations a <Boltzmann factor>. Spin models describe collective order and phase transitions in magnetic and other many-body systems.


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 Incoming links: Spin model