title: Exit probability in inflow dynamics: nonuniversality induced by range, asymmetry, and fluctuation.
abstract: Probing deeper into the existing issues regarding the exit probability (EP) in one-dimensional dynamical models, we consider several models where the states are represented by Ising spins and the information flows inwards. At zero temperature, these systems evolve to either of two absorbing states. The EP, E(x), which is the probability that the system ends up with all up spins starting with x fraction of up spins, is found to have the general form E(x)=xα/xα+(1-x)α. The EP exponent α strongly depends on r, the range of interaction, the symmetry of the model, and the induced fluctuation. Even in a nearest-neighbor model, a nonlinear form of the EP can be obtained by controlling the fluctuations, and for the same range, different models give different results for α. Nonuniversal behavior of the EP is thus clearly established and the results are compared to those of existing studies in models with outflow dynamics to distinguish the two dynamical scenarios.
authors.affiliation: Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700009, India.
authors.forename: Parna
authors.initials: P
authors.lastname: Roy
authors.affiliation: Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India.
authors.forename: Soham
authors.initials: S
authors.lastname: Biswas
authors.affiliation: Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700009, India.
authors.forename: Parongama
authors.initials: P
authors.lastname: Sen
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D060526:Magnetic Fields; D008956:Models, Chemical; D015233:Models, Statistical; D012212:Rheology / Q000379:methods*; D013113:Spin Labels
chemical_list: D013113:Spin Labels