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High-resolution Monte Carlo study of the order-parameter distribution of the three-dimensional Ising model
Jiahao Xu, Alan M. Ferrenberg, David P. Landau
We apply extensive Monte Carlo simulations to study the probability distribution of the order parameter for the simple cubic Ising model with periodic boundary condition…
Finite size scaling for a first order transition where a continuous symmetry is broken: The spin-flop transition in the 3D XXZ Heisenberg antiferromagnet
Jiahao Xu, Shan-Ho Tsai, D. P. Landau +1
Finite size scaling for a first order phase transition where a continuous symmetry is broken is developed using an approximation of Gaussian probability distributions with a phenom…
Pushing the Limits of Monte Carlo Simulations for the 3d Ising Model
Alan M. Ferrenberg, Jiahao Xu, David P. Landau
While the 3d Ising model has defied analytic solution, various numerical methods like Monte Carlo, MCRG and series expansion have provided precise information about the phase trans…
Combined Molecular and Spin Dynamics Simulation of BCC Iron with Vacancy Defects
Mark Mudrick, Markus Eisenbach, Dilina Perera +1
Utilizing an atomistic computational model which handles both translational and spin degrees of freedom, combined molecular and spin dynamics simulations have been performed to inv…
Exploring Replica-Exchange Wang-Landau sampling in higher-dimensional parameter space
Alexandra Valentim, Julio C. S. Rocha, Shan-Ho Tsai +4
We considered a higher-dimensional extension for the replica-exchange Wang-Landau algorithm to perform a random walk in the energy and magnetization space of the two-dimensional Is…
Scalable replica-exchange framework for Wang-Landau sampling
Thomas Vogel, Ying Wai Li, Thomas Wüst +1
We investigate a generic, parallel replica-exchange framework for Monte Carlo simulations based on the Wang-Landau method. To demonstrate its advantages and general applicability f…