เปรียบเทียบวิธี

	การจำลองแบบมอนติคาร์โลของแบบจำลองไอซิง	CALPHAD	Molecular Dynamics
สาขาวิชา	วัสดุศาสตร์	วัสดุศาสตร์	วัสดุศาสตร์
ตระกูล	Process / pipeline	Process / pipeline	Process / pipeline
ปีกำเนิด	1925	1970	1957
ผู้ริเริ่ม	Ernst Ising	Larry Kaufman	Alder and Wainwright
ประเภท	Simulation method	Computational method	Simulation method
แหล่งต้นตำรับ	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.	Alder, B. J., & Wainwright, T. E. (1957). Phase transition for a hard sphere system. The Journal of Chemical Physics, 27(5), 1208-1209.
ชื่อเรียกอื่น	Ising simulation, spin-system simulation, Metropolis algorithm	CALPHAD method, computational thermodynamics	MD simulation, molecular dynamics simulation, atomistic simulation
ที่เกี่ยวข้อง	3	3	3
สรุป	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.	Molecular Dynamics (MD) is a computational technique that simulates the motion of atoms and molecules by solving Newton's equations of motion under specified forces. Pioneered by Alder and Wainwright in 1957, MD integrates time-dependent atomic trajectories from initial positions, allowing prediction of material properties, phase transitions, and dynamic behavior. It bridges the gap between quantum mechanics (which determines interatomic forces) and macroscopic phenomena (accessible only through experiment), enabling study of timescales from femtoseconds to microseconds and length scales from angstroms to hundreds of nanometers.