Abstract:
Using field theory and Monte Carlo (MC) simulation we investigate the finite-size effects of the magnetization M for the three-dimensional Ising model in a finite cubic geometry with periodic boundary conditions. The field theory with infinite cutoff gives a scaling form of the equation of state where is the reduced temperature, h is the external field and L is the size of system. Below and at the theory predicts a nonmonotonic dependence of f(x,y) with respect to at fixed and a crossover from nonmonotonic to monotonic behaviour when y is further increased. These results are confirmed by MC simulation. The scaling function f(x,y) obtained from the field theory is in good quantitative agreement with the finite-size MC data. Good agreement is also found for the bulk value at.
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Received 20 July 1999 and Received in final form 11 November 1999
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Chen, X., Dohm, V. & Stauffer, D. Nonmonotonic external field dependence of the magnetization in a finite Ising model: Theory and MC simulation. Eur. Phys. J. B 14, 699–704 (2000). https://doi.org/10.1007/s100510051081
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DOI: https://doi.org/10.1007/s100510051081