Analysis of the earlier times and flux of the entropy on the majority voter model with difusion
arXiv:1911.00131 · doi:10.1103/PhysRevE.101.012130
Abstract
We study the properties of nonequilibrium systems modelled as spin models without defined Hamiltonian as the majority voter model. This model has transition probabilities that do not satisfy the condition of detailed balance. The lack of detailed balance leads to entropy production phenomena, which are a hallmark of the irreversibility. By considering that voters can diffuse on the lattice we analyze how the entropy production and how the critical properties are affected by this diffusion. We also explore two important aspects of the diffusion effects on the majority voter model by studying entropy production and entropy flux via time-dependent and steady state simulations. This study is completed by calculating some critical exponents as function of the diffusion probability.
arXiv comment16 pages, 7 figures
References in corpus (9)
- Statistical physics of social dynamics
- Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
- Generalized Dynamic Scaling for Critical Magnetic Systems
- Stochastic approach to equilibrium and nonequilibrium thermodynamics
- Entropy production in the majority-vote model
- Universality and scaling study of the critical behavior of the two-dimensional Blume-Capel model in short-time dynamics
- Short time dynamics of a two dimensional majority vote model
- Generalized Metropolis dynamics with a generalized master equation: An approach for time-independent and time-dependent Monte Carlo simulations of generalized spin systems
- Highly detailed computational study of a surface reaction model with diffusion: four algorithms analyzed via time-dependent and steady-state Monte Carlo simulations