NUMERICAL SIMULATION OF PHASE TANSITIONS IN ISING MODEL AND BINARY SOLUTION MODEL

The introduction and study of physics often begin with the observation of changes between the three states of matter, which encompass phase transitions, a common phenomenon in nature. Phase transitions also serve as a key topic in thermodynamics-related courses. To provide a concrete representation of phase transitions and support the comparison of theoretical results, this paper designs and conducts Monte Carlo simulations of the phase transition processes in both the Ising model and a binary water-oil solution model. The system's evolution during the phase transition is visualized, while the temperature dependence of relevant physical quantities such as energy, specific heat, and magnetic susceptibility is tracked. The phase transition points of the system are determined, and phase diagrams are constructed. Additionally, the effects of system size on the phase transition process and the corresponding physical quantities are discussed. This paper offers a numerical experimental method that allows undergraduate and graduate students to intuitively understand phase transitions, aiming to stimulate their enthusiasm for learning, understanding, and further exploring the physics of phase transitions.