Non-unitary observables in the 2d critical Ising model

Dynamic Critical Behavior of Percolation Observables in the 2d Ising Model

We present preliminary results of our numerical study of the critical dynamics of percolation observables for the two-dimensional Ising model. We consider the (Monte-Carlo) short-time evolution of the system obtained with a local heat-bath method and with the global Swendsen-Wang algorithm. In both cases, we find qualitatively different dynamic behaviors for the magnetization and Ω, the order p...

The critical equation of state of the 2D Ising model

We compute the 2n-point coupling constants in the high-temperature phase of the 2d Ising model by using transfer-matrix techniques. This provides the first few terms of the expansion of the effective potential (Helmholtz free energy) and of the equation of state in terms of the renormalized magnetization. By means of a suitable parametric representation, we determine an analytic extension of th...

The solution of the 2D Ising model

Critical percolation in the dynamics of the 2d ferromagnetic Ising model

We study the early time dynamics of the 2d ferromagnetic Ising model instantaneously quenched from the disordered to the ordered, low temperature, phase. We evolve the system with kinetic Monte Carlo rules that do not conserve the order parameter. We confirm the rapid approach to random critical percolation in a time-scale that diverges with the system size but is much shorter than the equilibr...

The Critical Behaviour of Ising Spins on 2d Regge Lattices

We performed a high statistics simulation of Ising spins coupled to 2D quantum gravity on toroidal geometries. The tori were triangulated using the Regge calculus approach and contained up to 512 2 vertices. We used a constant area ensemble with an added R 2 interaction term, employing the dl=l measure. We nd clear evidence that the critical exponents of the Ising phase transition are consisten...