We study the small-world network model, which mimics the transition between regular-lattice and random-lattice behavior in social networks of increasing size. We contend that the model displays a normal continuous phase transition with a divergent correlation length as the degree of randomness...

A model of biological morphogenesis is presented. The model is based in a gene-network cell description plus the interaction among cells. Here interactions between nearest cells are due to diffusion-like mechanisms and also to inductive, cell-to-cell interactions. The gene network properties are...

The critical boundaries separating ordered from chaotic behavior in randomly wired S-state networks are calculated. These networks are a natural generalization of random Boolean net and are proposed as an extended approach to genetic regulatory systems, sets of cells in different states or...

In the conventional Avrami–Kolmogorov–Johnson–Mehl model, the reaction or phase transition occurring in the 2D or 3D infinite medium is considered to start and proceed around randomly distributed and/or appearing nucleation centers. The radius of the regions transformed is assumed to...

Balanced infinite periodic minimal surface families that contain the cubic Gyroid (G), Diamond (D) and Primitive (P) surfaces are studied in terms of their global packing and local curvature properties. These properties are central to understanding the formation of mesophases in amphiphile and...

This article explores global geometric features of bicontinuous space-partitions and their relevance to self-assembly of block-copolymers. Using a robust definition of `local channel radius', based on the concept of a medial surface [Schröder et al., Eur. Phys. J. B <Emphasis Type="Bold">35, 551 (2003)], we...</emphasis>

In this paper we present a study of a Phase Change Material type Perovskite Layerwhich have solid-solid transitions and thermal properties suitable for Thermal EnergyStorage. Structural study shows that organic chain in this organic-inorganic compoundpresents “trans” and “gauche”...

In this article we examine social neuroeconomics from a complex systems point of view, that is rooted in the theory and methods of informationally coupled self-organizing dynamical systems. Our contribution focuses on establishinng a theoretical perspective within which one can interpret...

The aim of this talk was to review recent progress in theoretical modeling of pattern formation during catalytic chemical reactions on metal surfaces. The attention was focused on two kinds of nonlinear phenomena at different characteristic length scales. The reaction-diffusion models well...