English

Exit Probability in Generalised Kinetic Ising Model

Statistical Mechanics 2016-02-11 v2

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.

Keywords

Cite

@article{arxiv.1409.2837,
  title  = {Exit Probability in Generalised Kinetic Ising Model},
  author = {Parna Roy and Parongama Sen},
  journal= {arXiv preprint arXiv:1409.2837},
  year   = {2016}
}

Comments

14 pages, 5 figures, accepted in J Stat Phys

R2 v1 2026-06-22T05:52:44.816Z