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伊辛模型蒙特卡洛×分子动力学×
领域材料科学材料科学
方法族Process / pipelineProcess / pipeline
起源年份19251957
提出者Ernst IsingAlder and Wainwright
类型Simulation methodSimulation method
开创性文献Ising, E. (1925). Beitrag zur Theorie des Ferromagnetismus. Zeitschrift für Physik, 31(1), 253-258. DOI ↗Alder, B. J., & Wainwright, T. E. (1957). Phase transition for a hard sphere system. The Journal of Chemical Physics, 27(5), 1208-1209. DOI ↗
别名Ising simulation, spin-system simulation, Metropolis algorithmMD simulation, molecular dynamics simulation, atomistic simulation
相关33
摘要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.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.
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  1. v1
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  3. PUBLISHED

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ScholarGate方法对比: Ising Model Monte Carlo · Molecular Dynamics. 于 2026-06-18 检索自 https://scholargate.app/zh/compare