Abstract
PurposeThe paper refers to Monte Carlo (MC) magnetic simulations and finite element scaling rules, allowing the simulation of magnetic mesoscopic systems. The scaling rules consist of a redefinition of the system Hamiltonian as a function of a scaling factor, including spin values and exchange integral parameters attributed to system nodes. This approach leads to a disturbance of the thermodynamic balance expressed by acceptance probability in the Metropolis steps. This paper aims to explain the effect and solve the problem.Design/methodology/approachThe change of the acceptance probability is derived from energy change and the scaling roles. As a test, a set of thermomagnetic curves was simulated in the temperature ranges related to ferro-paramagnetic transitions for the systems with different enlargement factors.FindingsThe presented approach allows the simulation of thermomagnetic curves of large magnetic systems using the MC Metropolis algorithm modified by the scaling rules.Originality/valueThe presented approach allows the simulation of thermomagnetic curves of large magnetic systems, using the MC Metropolis algorithm modified by the scaling rules.
Published Version
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