title: Rényi information flow in the Ising model with single-spin dynamics.
abstract: The n-index Rényi mutual information and transfer entropies for the two-dimensional kinetic Ising model with arbitrary single-spin dynamics in the thermodynamic limit are derived as functions of ensemble averages of observables and spin-flip probabilities. Cluster Monte Carlo algorithms with different dynamics from the single-spin dynamics are thus applicable to estimate the transfer entropies. By means of Monte Carlo simulations with the Wolff algorithm, we calculate the information flows in the Ising model with the Metropolis dynamics and the Glauber dynamics, respectively. We find that not only the global Rényi transfer entropy, but also the pairwise Rényi transfer entropy, peaks in the disorder phase.
authors.affiliation: Physics Department, Beijing Normal University, Beijing 100875, China.
authors.forename: Zehui
authors.initials: Z
authors.lastname: Deng
authors.affiliation: School of Systems Science, Beijing Normal University, Beijing 100875, China.
authors.forename: Jinshan
authors.initials: J
authors.lastname: Wu
authors.affiliation: Physics Department, Beijing Normal University, Beijing 100875, China and State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Science, Beijing 100190, China.
authors.forename: Wenan
authors.initials: W
authors.lastname: Guo