Exit Probability in Generalised Kinetic Ising Model

Abstract

In this paper we study generalised Ising Glauber models with inflow of informa- tion in one dimension and derive expressions for the exit probability using well established analytical methods. The analytical expressions agree very well with the results obtained from numerical simulation only when the interaction is restricted to the nearest neighbor. But as the range of interaction is increased the analytical results deviate from simulation results systematically. The reasons for the deviation as well as some related open questions are discussed.

14 pages, 5 figures, accepted in J Stat Phys

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• Kinetic Ising models with various single-spin flip dynamics on quenched and annealed random regular graphs
• Zero temperature coarsening in Ising model with asymmetric second neighbour interaction in two dimensions
• Non-equilibrium dynamics in a three state opinion formation model with stochastic extreme switches
• Testing the validity of the Kirkwood approximation using an extended Sznajd model
• Non-equilibrium dynamics in Ising like models with biased initial condition