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Ising model
About: Ising model is a research topic. Over the lifetime, 25508 publications have been published within this topic receiving 555000 citations.
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TL;DR: The gas-liquid phase transition of the three-dimensional Lennard-Jones particles system is studied by molecular dynamics simulations and the obtained values of β and ν are consistent with those of the Ising universality class.
Abstract: The gas-liquid phase transition of the three-dimensional Lennard-Jones particles system is studied by molecular dynamics simulations. The gas and liquid densities in the coexisting state are determined with high accuracy. The critical point is determined by the block density analysis of the Binder parameter with the aid of the law of rectilinear diameter. From the critical behavior of the gas-liquid coexisting density, the critical exponent of the order parameter is estimated to be β = 0.3285(7). Surface tension is estimated from interface broadening behavior due to capillary waves. From the critical behavior of the surface tension, the critical exponent of the correlation length is estimated to be ν = 0.63(4). The obtained values of β and ν are consistent with those of the Ising universality class.
118 citations
TL;DR: STMD shows a superior ability to find local minima in proteins and new global minima are found for the 55 bead AB model in two and three dimensions and Calculations of the occupation probabilities of individual protein inherent structures provide new insights into folding and misfolding.
Abstract: A simulation method is presented that achieves a flat energy distribution by updating the statistical temperature instead of the density of states in Wang-Landau sampling. A novel molecular dynamics algorithm (STMD) applicable to complex systems and a Monte Carlo algorithm are developed from this point of view. Accelerated convergence for large energy bins, essential for large systems, is demonstrated in tests on the Ising model, the Lennard-Jones fluid, and bead models of proteins. STMD shows a superior ability to find local minima in proteins and new global minima are found for the 55 bead AB model in two and three dimensions. Calculations of the occupation probabilities of individual protein inherent structures provide new insights into folding and misfolding.
118 citations
TL;DR: In this paper, the authors investigated the singularities observable at second-order phase transitions (e.g., the divergence of the specific heat) can only occur if the size of the considered system is very large (strictly speaking).
118 citations
TL;DR: Theoretical information from series and ϵ-exponential expansions on the values of these ratios for short-ranged Ising, Heisenberg, and spherical models, and for dipolar systems is presented in this paper.
Abstract: The hypothesis of universality implies that there are four universal ratios among the six usually defined thermodynamic critical amplitudes. Theoretical information from series and $\ensuremath{\epsilon}$ expansions is presented on the values of these ratios for short-ranged Ising, Heisenberg, and spherical models, and for dipolar systems. A number of real materials are discussed (Xe, ${\mathrm{CO}}_{2}$, Ni, EuO, and ${\mathrm{LiTbF}}_{4}$), and the present state of our understanding of the thermodynamic ratios for these systems is found to be rather crude.
118 citations
TL;DR: In this paper, the effects of the two transverse fields at the surface shell and in the core to these magnetizations have been firstly clarified by using the two theoretical frameworks of the mean field theory and the EFT.
117 citations