Ising ModelCritical ExponentsCritical TemperatureWe have analyzed low and high temperature series expansions for the three-dimensional Ising model on the simple cubic lattice. Our analysis of Butera and Comi's new 21-term high temperature series yields and from the 32-term low temperature series of...
The critical temperatures for 2D and 3D ferromagnetic Ising model are well-known using several methods. In the present paper we introduce a new technique: to study the time-series of different order parameters established by means of a single-spin Monte Carlo evolution of the system in a ...
The interface between domains of opposite magnetization in the 3D Ising model near the critical temperature displays universal finite-size effects which can be described in terms of a gaussian model of capillary waves. It turns out that these finite-size corrections depend rather strongly on the sha...
In this paper, we will be aiming for a solution of the 3D Ising model in the continuum limit and at the critical temperature T = T c . While the 2D Ising model was solved exactly on the lattice and for any temperature by Onsager and Kaufman in the 1940’s, the 3D lattice case has...
Most importantly, the modified Arrott plots, Kouvel–Fisher plots, as well as critical isotherm method self-consistently co-confirm the critical exponents of β =0.33, γ =1.23, and δ =4.7, unambiguously indicating that ...
In the ordered phase of the 3D Ising model, minority spin clusters aresurrounded by a boundary of dual plaquettes. As the temperature is raised,these spin clusters become more numerous, and it is found that eventually theirboundaries undergo a percolation transition when about 13\% of spins are...
critical exponentsmonte carlo simulationWe study the energy fluctuations in 3D Ising model near the phase transition point. Specific heat is a relevant quantity which is directly related to the mean squared amplitude of the energy fluctuations in the system. We have made ex...
The three-dimensional bimodal random-field Ising model is studied via a new finite temperature numerical approach. The methods of Wang-Landau sampling and broad histogram are implemented in a unified algorithm by using the N-fold version of the Wang-Landau algorithm. The simulations are performed ...
Simulation of 3-d Ising spin glass model using three replicas: study of Binder cumulants, preprint cond-mat/9603083 - Iniguez, Parisi, et al. () Citation Context ...near one and so we obtain the following critical temperature and ν exponent Tc = 1.80 ± 0.01 , (9) ν = 0.9 ...
Confirmation of classical nucleation theory by Monte Carlo simulations in the 3-dimensional Ising model at low temperature We examine and visualize cluster formation, nucleation, and growth by Monte Carlo simulations in the three-dimensional Ising model atT/Tc=1/4,i.e., far fro... S Wonczak,...