We employ a real-space renormalization-group (RSRG) approach to study a mixed-spin (spin-12 and spin-1) antiferromagnetic Ising model on the square lattice. The model incorporates next-nearest-neighbor interactions which are relevant to describe ferrimagnetism. We present an RSRG calculation of...

The travelling salesman problem, in which the best route between cities to be visited is chosen from a large number of possible routes, is reconsidered using the time reversal of physical dynamics, e.g. an inverse of the diffusion process. Information mediators assigned to every city diffuse as...

We show how to apply the usual renormalization group prescription to some statistical mechanical systems that can be described in terms of a polymer model.

The effect of majority rule voting in hierarchical structures is studied using the basic concepts from real space renormalization group. It shows in particular that a huge majority can be self-eliminated while climbing up the hierarchy levels. This majority democratic self-elimination...

Ising spin glasses are studied, at zero temperature, on a hierarchical lattice as an approach to the square lattice. The stiffness exponent y, which governs the behavior of the interactions under changes of scale, is computed for several distinct continuous symmetric probability distributions...

In the present work we study the critical properties of the ferromagnetic three-color Ashkin–Teller model (3AT) by means of a Migdal–Kadanoff renormalization group approach on a diamond-like hierarchical lattice. The analysis of the fixed points and flux diagram of the recursion relations is...

We discuss the critical behavior of nonequilibrium anisotropic systems, particularly the driven lattice gas and its variants. A large series of available numerical results depict a coherent picture consistent with specific predictions drawn from novel field theory and its renormalization group...

A model of two interacting polymer chains has been proposed to study the effect of penetration of one chain into the other. We show that small chain penetrates more in comparison to the long chain. We also find a condition in which both chains cannot grow on their own (or polymerize) but can...

The well-established effective action and effective potential framework from the quantum field theory domain is adapted and successfully applied to classical field theories of the Doi and Peliti type for diffusion controlled reactions. Through a number of benchmark examples, we show that the...

Restoration of macroscopic isotropy has been investigated in (d+1)-simplex fractal conductor networks via exact real-space renormalization group transformations. Using some theorems of fixed-point theory, it has been shown very rigoroursly that the macroscopic conductivity becomes isotropic for...