Hyperscaling in the Ising model
نویسندگان
چکیده
منابع مشابه
A Geometrical Interpretation of Hyperscaling Breaking in the Ising Model *
In random percolation one finds that the mean field regime above the upper critical dimension can simply be explained through the coexistence of infinite percolating clusters at the critical point. Because of the mapping between percolation and critical behaviour in the Ising model, one might check whether the breakdown of hyperscaling in the Ising model can also be intepreted as due to an infi...
متن کاملFinite-size scaling in Ising-like systems with quenched random fields: evidence of hyperscaling violation.
In systems belonging to the universality class of the random field Ising model, the standard hyperscaling relation between critical exponents does not hold, but is replaced with a modified hyperscaling relation. As a result, standard formulations of finite-size scaling near critical points break down. In this work, the consequences of modified hyperscaling are analyzed in detail. The most strik...
متن کاملIsing Exponents in the Two-dimensional Site-diluted Ising Model
We study the site-diluted Ising model in two dimensions with Monte Carlo simulations. Using nite-size scaling techniques we compute the critical exponents observing deviations from the pure Ising ones. The diierences can be explained as the eeects of logarithmic corrections, without requiring to change the Universality Class.
متن کاملSimulations: The Ising Model
The goal of this experiment was to create Monte Carlo simulations of the 1D and 2D Ising model. To accomplish this the Metropolis algorithm was implemented in MATLAB. The dependence of magnetization on temperature with and without an external field was calculated, as well as the dependence of the energy, specific heat, and magnetic susceptibility on temperature. The results of the 2D simulation...
متن کامل1 The Ising model
This model was suggested to Ising by his thesis adviser, Lenz. Ising solved the one-dimensional model, ..., and on the basis of the fact that the one-dimensional model had no phase transition, he asserted that there was no phase transition in any dimension. As we shall see, this is false. It is ironic that on the basis of an elementary calculation and erroneous conclusion, Ising’s name has beco...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physica B+C
سال: 1977
ISSN: 0378-4363
DOI: 10.1016/0378-4363(77)90613-1