کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
976443 | 933128 | 2008 | 16 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: On the universality class of the 3d Ising model with long-range-correlated disorder On the universality class of the 3d Ising model with long-range-correlated disorder](/preview/png/976443.png)
We analyze a controversial topic about the universality class of the three-dimensional Ising model with long-range-correlated disorder. Whereas both theoretical and numerical studies agree on the validity of the extended Harris criterion [A. Weinrib, B.I. Halperin, Phys. Rev. B 27 (1983) 413] and indicate the existence of a new universality class, numerical values of the critical exponents found so far differ considerably. To resolve this discrepancy we perform extensive Monte Carlo simulations of a 3d Ising model with non-magnetic impurities being arranged in a form of lines along randomly chosen axes of a lattice. The Swendsen–Wang algorithm is used alongside with a histogram reweighting technique and finite-size scaling analysis to evaluate the values of critical exponents governing magnetic phase transition. Our estimates for these exponents differ from both previous numerical simulations and are in favor of a non-trivial dependency of the critical exponents on the peculiarities of long-range correlation decay.
Journal: Physica A: Statistical Mechanics and its Applications - Volume 387, Issue 18, 15 July 2008, Pages 4497–4512