Correlation lengthIsing modelCritical temperatureCorrelation length exponentJournal of the Korean Physical Society - We present a method for measuring the correlation length of the Ising model. Starting from a ground state, we consider a quantity $$K(t,T) \\equiv L......
In the short-range Ising model, the correlation length diverges at the critical point. In contrast, in the long-range interacting model the spin configuration is always uniform and the correlation length is zero. As long as a system has non-zero long-range interactions, it shows criticality ...
The perturbation approach is used to derive the exact correlation length of the dilute lattice models in regimes 1 and 2 for L odd. In regime 2 the model is the lattice realization of the two-dimensional Ising model in a magnetic field h at . When combined with the singular part of the...
We discuss the phase transition in an Ising model with correlated disorder. Two parameters describe the disorder: its variance and its finite correlation lengthscale. We show that in this model, depending on the disorder parameters, one of two qualitatively different scenarios for the transition ...
Amplitude-exponent relation for the correlation length in the (2+1)-dimensional Ising model Amplitude-exponent relation for the correlation length in the (2+1)-dimensional Ising modeldoi:10.1088/0305-4470/20/12/004 M Henkel - 《Journal of Physics A Mathematical & General》 被引量: 17发表: ...
The divergences of both the length and time scales, at the magnetization-reversal transition in the Ising model under a pulsed field, have been studied in the linearized limit of the mean field theory. Both the length and time scales are shown to diverge at the transition point and it has ...
We study, using dimer and Monte Carlo approaches, the critical properties and finite size effects of the Ising model on honeycomb lattices folded on the tetrahedron. We show that the main critical exponents are not affected by the presence of conical singularities. The finite size scaling of the...
UPPER AND LOWER BOUNDS FOR THE CORRELATIONLENGTH OF THE TWO-DIMENSIONAL RANDOM-FIELD ISINGMODELYOAV BAR-NIRAbstract. We study the rate of correlation decay in the two-dimensionalrandom-f i eld Ising model at weak f i eld strength ε. We combine elements of therecent proof of exponential deca...
We developed extensive renormalization techniques for the 1D and 2D Ising model to provide a baseline for comparison. For the 1D Ising model, we successfully used Adam optimization on a correlation length loss function to learn the group flow, yielding results consistent with the analytical model ...
in the Monte Carlo simulation, temperature-induced spin flips will lead to more irregularly shaped domains and create small temporary domains. As the phase transition of the square lattice model is approached, these temperature-induced domains will grow in size and the correlation length will ...