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......
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 ...
Some roots of the renormalization-group concept can be found inKadanoff (1966). He considered a partition of an Ising system into cells of a size that is shorter than the correlation length but greater than thelattice constant. Each cell in his model was determined by a cell spin.Kadanoff...
On the basis of previous two-variable series analyses by Chen, Fisher, and Nickel and renormalization group ∈ =4 d expansions, it is concluded that the correction amplitudes for the susceptibility, correlation length, specific heat, and spontaneous magnetization are negative for all three lattices....
TheLennard-Jones (LJ) particle systemhas been extensively studied since it is the basic model of theoff-lattice systems with short-range interactions. It is widely believed that thegas-liquid phase transition of the particle system with short-range interaction belongs to the Ising universality class...
In contrast to the known result for periodic boundary conditions (τ e ~L z exp [const(L ν ) 2 ], where z and ν are the dynamical and correlation length exponents, respectively, and =1–T/T c ), the ergodic relaxation time for open boundary conditions is proportional to L z exp ...
This model is a good representation of a large number of impure materials. After a short repetition of earlier arguments, which prove the absence of ferromagnetic order in $d\\le 2$ space dimensions for uncorrelated random fields, we consider different random field correlations and in particular...
L. Spin correlations in MnO. Physics 1, 31–44 (1964). Article MathSciNet CAS Google Scholar Melko, R. G. & Gingras, M. J. P. Monte Carlo studies of the dipolar spin ice model. J. Phys.: Condens. Matter 16, R1277 (2004). ADS CAS Google Scholar de Leeuw, S. W., ...
We prove that in the 2D Ising model with a weak bidimensional quasi-periodic disorder in the interaction, the critical behavior is the same as in the non-disordered case; that is, the critical exponents for the specific heat and energy-energy correlations are identical, and no logarithmic corr...
To compute confidence intervals for correlation lengths in Fig. 5, we used lmfit's52 conf_interval method. It employs F-test in Eq. (21) to compare χ2 statistics of the null model with our best-found fitting parameters to an alternate model where one of the parameters is fixed. Fð...