Finite-size scaling with modified boundary conditions
نویسندگان
چکیده
منابع مشابه
Exact finite-size scaling with corrections in the two-dimensional Ising model with special boundary conditions
The two-dimensional Ising model with Brascamp-Kunz boundary conditions has a partition function more amenable to analysis than its counterpart on a torus. This fact is exploited to exactly determine the full finite-size scaling behaviour of the Fisher zeroes of the model. Moreover, exact results are also determined for the scaling of the specific heat at criticality, for the specific-heat peak ...
متن کاملFinite-size scaling and corrections in the Ising model with Brascamp-Kunz boundary conditions
The Ising model in two dimensions with the special boundary conditions of Brascamp and Kunz is analyzed. Leading and subdominant scaling behavior of the Fisher zeros are determined exactly. The exact finite-size scaling, with corrections, of the specific heat is determined both at critical and effective critical ~pseudocritical! points. The shift exponents associated with the scaling of these e...
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We study the magnetization mL(h, β) for the Ising model on a large but finite lattice square under the minus boundary conditions. Using known large-deviation results evaluating the balance between the competing effects of the minus boundary conditions and the external magnetic field h, we describe the details of its dependence on h as exemplified by the finitesize rounding of the infinite-volum...
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We analyze the partition function of the dimer model on M x N triangular lattice wrapped on the torus obtained by Fendley, Moessner, and Sondhi [Phys. Rev. B 66, 214513, (2002)]. Based on such an expression, we then extend the algorithm of Ivashkevich, Izmailian, and Hu [J. Phys. A 35, 5543 (2002)] to derive the exact asymptotic expansion of the first and second derivatives of the logarithm of ...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2015
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.91.241116