Task: Text Categorization
Input (English): BakTangWiesenfeld sandpile model of self-organized criticality has been used to study a spin-1 version of this model and applications of this have been used to study the cooperative phenomena of ligand-gated ion channels. The use of Monte Carlo methods in the application of the Metropolis-Hastings algorithm can be used to find numerical solutions for it. Because the basic Kuratowskian of it is NP-complete, Istrail showed that no analytical solution to it can be extended to three dimensions. It relies on a nearest neighbor strategy wherein the coupling interactions contribute to the overall Hamiltonian of the system where the sum is taken over all pairs of neighbors. A generalization of this, useful in studying phase transitions is known as the Askin-Teller or Potts model and this model for a two dimensional square lattice with no magnetic field was analytically solved by Onsager. For 10 points, name this eponymous mathematical model that is capable of describing various phenomena notably ferromagnetism.
Output (English): Science