Critical and finite-size-scaling behaviours of short-range order parameters

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Abstract
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.