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	イジングモデルモンテカルロ	CALPHAD
分野	材料科学	材料科学
系統	Process / pipeline	Process / pipeline
提唱年	1925	1970
提唱者	Ernst Ising	Larry Kaufman
種類	Simulation method	Computational method
原典	Ising, E. (1925). Beitrag zur Theorie des Ferromagnetismus. Zeitschrift für Physik, 31(1), 253-258.	Kaufman, L., & Bernstein, H. (1970). Computer Calculation of Phase Diagrams. Academic Press.
別名	Ising simulation, spin-system simulation, Metropolis algorithm	CALPHAD method, computational thermodynamics
関連	3	3
概要	Ising Model Monte Carlo simulation is a computational method for studying phase transitions and magnetic ordering in materials by stochastically sampling configurations of binary spins on a lattice. Originating from Ernst Ising's 1925 theoretical model and combined with Metropolis algorithm in 1953, Ising Monte Carlo enables exploration of thermodynamic properties at scales impossible to access analytically. Though a simplification, the Ising model captures essential physics of ferromagnetism, antiferromagnetism, and critical phenomena, and its mathematical structure extends to disorder, adsorption, and other binary-state systems.	CALPHAD (CALculation of PHAse Diagrams) is a computational method for predicting thermodynamic equilibrium properties and phase diagrams of multicomponent alloys. Pioneered by Larry Kaufman in 1970, CALPHAD combines experimental and computational data to assess thermodynamic properties of phases and subsequently predict equilibrium conditions. It is the standard methodology in physical metallurgy and materials design for alloy development, process optimization, and understanding phase stability.