Original Ising Model Sample Clauses

Original Ising Model. The original Ising Model was first proposed by ▇. ▇▇▇▇▇(26) to describe behaviors of a ferromagnetic system. In his model, a discrete random variable called spin was introduced which can take the value of either +1 or -1. Spins, denoted as S, are arranged in a chain lattice and interact only with its nearest neighbors. Although spin is an abstract concept in Quantum Mechanics, one can simply consider it as a little magnet which can be arranged either aligned or anti-aligned. The energy of system can also be defined as: E = — ⟨i,j⟩ JijSiSj (3.2) where ⟨i,j ⟩ means sum over all spins that are connected and the positive coupling coefficient Jij describes the strength of the interaction between sites i and j. If we go even further to consider an Ising system in an external magnetic field h0, the energy now becomes: E = — Σ ⟨i,j⟩ Jij SiSj — h0 Sj (3.3)