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ALGORITHMS FOR MONTE CARLO SIMULATIONS OF THE ISING MODELS ON A SIMPLE CUBIC LATTICE
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1993
Year
Quantum Lattice SystemEngineeringSpin SystemsMonte Carlo MethodsMulti-spin CodingMarkov Chain Monte CarloExplicit Logical ExpressionMagnetismNumerical SimulationModeling And SimulationMonte-carlo ModellingPhysicsMetropolis MethodMonte CarloMonte Carlo SamplingSequential Monte CarloNatural SciencesMonte Carlo MethodCondensed Matter PhysicsMultiscale Modeling
The vectorized Monte Carlo algorithm by multi-spin coding is extended to the ±J Ising spin glass model on a simple cubic lattice in a magnetic field. Explicit logical expression is given for this algorithm. In addition, shorter logical expressions are found in some special cases. They are given for the heat-bath method under the general condition and for the Metropolis method under the condition, H = 0.