Mean-field-like behavior of the generalized voter-model-class kinetic Ising model

Abstract

We analyze a kinetic Ising model with suppressed bulk noise, which is a prominent representative of the generalized voter model phase transition. On the one hand, we discuss the model in the context of social systems and opinion formation in the presence of a tunable social temperature. On the other hand, we characterize the abrupt phase transition. The system shows nonequilibrium dynamics in the presence of absorbing states. We slightly change the system to get a stationary-state model variant exhibiting the same kind of phase transition. Using a Fokker-Planck description and comparing to mean-field calculations, we investigate the phase transition, finite-size effects, and the effect of the absorbing states resulting in a dynamic slowing down.

Spin models as microfoundation of macroscopic market models

“…This is connected to a phase transition near h crit = 1.84. Due to the low bulk noise for this system, it is close to the Generalized Voter Model (GVM) phase transition with a jump in the order parameter [30,31].…”

Neighborhood Approximations for Non-Linear Voter Models

“…Compared to two-dimensional CA [11,18] or even complex networks [19,20], one could find onedimensional CA too simple. But this judgment is in fact not justified.…”

Volatility Behaviors of Financial Time Series by Percolation System on Sierpinski Carpet Lattice

“…The modeling of dynamics of forward prices is becoming a key problem in the risk management, physical assets valuation, derivatives pricing, etc. Any modeling, aiming at understanding price fluctuations needs to define a mechanism for the formation of the price, in an attempt to reproduce and explain the stylized facts in behavioral finance and statistical finance [5][6][7][8].…”