A pair-correlation function ansatz, previously used in the derivation of the Ising model critical exponent η for the square lattice from a criticality equation within the i-δ approximation, is investigated further. Various methods are used to calculate the multispin correlation functions entering ...
Bab, M, Fabricius, G, Albano, E (2009) Critical exponents of the ising model on low-dimensional fractal media. Physica A 388: pp. 370M.A.Bab,G.Fabricius,E.V.Albano.Critical exponents of the Ising model on low-dimensional fractal media.Physica A:Statistical Me-chanics and its ...
We show that current estimates of the critical exponents of the three-dimensional random-field Ising model are in agreement with the exponents of the pure Ising system in dimension 3 - theta where theta is the exponent that governs the hyperscaling violation in the random case....
A critical exponent γ for the susceptibility is discussed in the high density limit (d →∞), and formal expressions for γ in powers of 1/d are derived. It is shown that the expansion for γ is not determined uniquely, contrary to the case of Curie point. It is suggested that the ...
摘要: We show that current estimates of the critical exponents of the three-dimensional random-field Ising model are in agreement with the exponents of the pure Ising system in dimension 3 - theta where theta is the exponent that governs the hyperscaling violation in the random case.关键词:...
critical temperature from the block density analysis of the Binder parameter, which allows us to perform finite-size analysis only from one simulation run with large system size. Additionally, this method does not require the distribution of order parameter of the Ising model atthe criticality, and...
value of the critical exponent β was also the subject of a crossover analysis in Refs. [8, 10]. Ref. [8] concludes that the experimental errors are too large in order to distinguish between the pure Ising model and the RIM critical behavior. ...
The mean field theory we mensioned before is not always valid. A critical example is the values of the critical exponent. A more powerful approach is the Monte Carlo Method.To simulate how a spin system interacts with its environment, we will consider the particular case of a ...
In this study, we computed three critical exponents ($\alpha, \beta, \gamma$) for the 3D Ising model with Metropolis Algorithm using Finite-Size Scaling Analysis on six cube length scales (L=20,30,40,60,80,90), and performed a supervised Deep Learning (DL) approach (3D Convolutional Neu...
We present a spin-3/(2) Ising model which is equivalent to a ``two-layer'' Ising model. We find a solvable spin-3/(2) Ising model and show that a system may have several critical exponents η corresponding to correlation functions of different Ising-type variables. We find two phase-...