A stochastic neural-network model with superposition of neuron and synapse kinetics with a priori probabilities p and 1−p, respectively, is presented. We report on exact and approximate results for p→0. This includes Hopfield-like models in which synaptic intensities locally fluctuate around...

We study a two-dimensional Ising model with different interaction strengths along each principal axis and a nonuniform temperature profile along one of them, as well as some variations of it. The model is solved analytically and/or numerically on different assumptions to reveal a variety of...

The exact bounds by Lebowitz and Penrose for the cluster distribution of the simple cubic lattice-gas model with attractive interactions lead here to exact upper and lower bounds for the limiting cluster free energy or free energy per particle of a cluster of macroscopic size and, consequently,...

We analyse equilibrium cluster distributions obtained numerically from a ferromagnetic Ising model (simple cubic lattice, 125000 sites and periodic boundary conditions) along the coexistence line and in the one-phase region below Tc. We find evidences that the distribution of sizes and energies...