Variational approximations for stationary states of Ising-like models

Abstract

We introduce a new variational approach to the stationary state of kinetic Ising-like models. The approach is based on the cluster expansion of the entropy term appearing in a functional which is minimized by the system history. We rederive a known mean-field theory and propose a new method, here called diamond approximation, which turns out to be more accurate and faster than other methods of comparable computational complexity.

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Cited by in corpus (11)

• A Cavity Master Equation for the continuous time dynamics of discrete spins models
• A simple analytical description of the non-stationary dynamics in Ising spin systems
• A matrix product algorithm for stochastic dynamics on networks, applied to non-equilibrium Glauber dynamics
• Cluster approximations for the TASEP: stationary state and dynamical transition
• Matrix Product Belief Propagation for reweighted stochastic dynamics over graphs
• The matrix product approximation for the dynamic cavity method
• Variational approximations for stochastic dynamics on graphs
• Nonequilibrium dynamics of the Ising model on heterogeneous networks with an arbitrary distribution of threshold noise
• A closure for the Master Equation starting from the Dynamic Cavity Method
• Adaptive Cluster Expansion for Ising spin models
• Dynamic message-passing approach for kinetic spin models with reversible dynamics