Critical and finite-size-scaling behaviours of short-range order parameters
نویسنده
چکیده
We investigate the behaviour of short-range order (SRO) parameters with temperature and system size in several versions of the Ising model, namely the pure and dilute models, the impure case where a fraction of spins are maintained fixed at one of the two possible states, and a driven-diffusive (non-equilibrium) lattice gas. The behaviour shown by SRO parameters is interesting, and reveals itself to be most useful in practice for determining qualitative and quantitative properties of phase transitions.
منابع مشابه
ec 1 99 9 Finite - size scaling investigations in the quantum φ 4 - model with long - range interaction
In this paper, we study in details the critical behavior of theO(n) quantum φ4 model with long-range interaction decaying with the distances r by a power law as r−d−σ in the large n-limit. The zero-temperature critical behavior is discussed. Its alteration by the finite temperature and/or finite sizes in the space is studied. The scaling behaviours are studied in different regimes depending upo...
متن کاملN ov 1 99 9 Finite size scaling investigations in the quantum φ 4 - model with long - range interaction
In this paper, we study in details the critical behavior of theO(n) quantum φ4 model with long-range interaction decaying with the distances r by a power law as r−d−σ in the large n-limit. The zero-temperature critical behavior is discussed. Its alteration by the finite temperature and/or finite sizes in the space is studied. The scaling behaviours are studied in different regimes depending upo...
متن کاملFinite-Size Scaling in the transverse Ising Model on a Square Lattice
Energy eigenvalues and order parameters are calculated by exact diagonalization for the transverse Ising model on square lattices of up to 6x6 sites. Finite-size scaling is used to estimate the critical parameters of the model, confirming universality with the three-dimensional classical Ising model. Critical amplitudes are also estimated for both the energy gap and the ground-state energy. PAC...
متن کاملChiral transition and deconfinement in QCD
The study of QCD with two light dynamical fermions is of fundamental importance to understand the mechanism of color confinement. We present results of a numerical investigation on the order of the chiral phase transition with Nf = 2 by use of a novel strategy in finite size scaling analysis. We compare the critical behaviour of the specific heat, of the chiral susceptibility and of the equatio...
متن کاملComparison study of finite element and basis set methods for finite size scaling
We compare two methods of obtaining critical parameters for a quantum Hamiltonian using a finite size scaling approach. A finite element and basis set method were used in conjunction with the finite size scaling to obtain the critical parameters for the Hulthen potential. The critical parameters obtained analytically were the coupling constant c= 1 2 , the critical exponents for the energy =2 a...
متن کامل