In the context of inference with expectation constraints, we propose an approach based on the “loopy belief propagation” algorithm (lpb), as a surrogate to an exact Markov Random Field (mrf) modelling. A prior information composed of correlations among a large set of N variables, is encoded...

It is well known that the Poisson–Boltzmann (PB) equation yields the exact counterion density around charged objects in the weak coupling limit. In this paper, we generalize the PB approach to account for coupling of arbitrary strength by making use of Tsallis q-exponential distributions. Both...

The dynamical origin of opinion polarization in the real world is an interesting topic that physical scientists may help to understand. To properly model the dynamics, the theory must be fully compatible with findings by social psychologists on microscopic opinion change. Here we introduce a...

The paper deals with the development of a theory for describing two-dimensional (2D) random lattice networks of resistors with a particular topology. We consider a 2D anisotropic random lattice where each node of the network is connected to a reference node (substrate) through a given random...

The task of quantization consists of forming a quantum mechanical system from a given classical system. Thereby, classical observables are replaced by quantum mechanical observables. We carry out this procedure with Gibbs’ canonical ensemble. Therefrom, we obtain a density matrix which...

Attractive bonding interactions between molecules typically have inherent conservation laws which influence the statistical properties of such systems in terms of corresponding sum rules. We have considered lattice water as an example, and we have enunciated the consequences of the sum rule...

The Naming Game is an agent-based model where individuals communicate to name an initially unnamed object. On a large class of networks continual pairwise interactions lead the system to an ultimate consensus state, in which agents onverge on a globally shared name. Soon after the introduction...