Ising Model Monte Carlo
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.
Allikakirje
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- Ising, E. (1925). Beitrag zur Theorie des Ferromagnetismus. Zeitschrift für Physik, 31(1), 253-258. · DOI 10.1007/BF02980577
- Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., & Teller, E. (1953). Equation of state calculations by fast computing machines. The Journal of Chemical Physics, 21(6), 1087-1092. · DOI 10.1063/1.1699114
- Swendsen, R. H., & Wang, J. S. (1987). Nonuniversal critical dynamics in Monte Carlo simulations. Physical Review Letters, 58(2), 86-88. · DOI 10.1103/PhysRevLett.58.86
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