We use molecular dynamics simulations to show that glass transition in a model phase separating amorphous alloy, Cu(50)Nb(50), occurs by gelation. At the glass transition, a mechanically stiff, percolating network of atoms with icosahedral local packing forms at the interfaces between compositionally enriched regions. This low-energy network halts coarsening of the phase-separated structure and...

This paper presents a grammar for books and journals using augmented transition networks in automated document analysis. The approach takes the structure of layout elements in books and journals to be part of a semiotic system, which therefore can be described using methods developed for the description of other semiotic systems, e.g. languages. It differs from previous research in the domain o...

A continuous-time dynamic model of a network of N nonlinear elements interacting via random asymmetric couplings is studied. A self-consistent mean-field theory, exact in the N ~ limit, predicts a transition from a stationary phase to a chaotic phase occurring at a critical value of the gain parameter. The autocorrelations of the chaotic flow as well as the maximal Lyapunov exponent are calcula...

We show, both analytically and numerically, that erroneous data transmission generates a global transition within a competitive population playing the "Minority Game" on a network. This transition, which resembles a phase transition, is driven by a "temporal symmetry breaking" in the global outcome series. The phase boundary, which is a function of the network connectivity p and the error proba...

We investigate the nature of the phase transition from an ordered to a disordered state that occurs in a family of neural network models with noise. These models are closely related to the majority voter model, where a ferromagneticlike interaction between the elements prevails. Each member of the family is distinguished by the network topology, which is determined by the probability distributi...

Random neural networks are dynamical descriptions of randomly interconnected neural units. These show a phase transition to chaos as a disorder parameter is increased. The microscopic mechanisms underlying this phase transition are unknown and, similar to spin glasses, shall be fundamentally related to the behavior of the system. In this Letter, we investigate the explosion of complexity arisin...

We study the first-order phase transition in the model of a simple perceptron with continuous weights and large, but finite value of the inputs. Making the analogy with the usual finite-size physical systems, we calculate the shift and the rounding exponents near the transition point. In the case of a general perceptron with larger variety of outputs, the analysis gives only bounds for the expo...

Let f : A → B be a covering map. We say A has e filtered ends with respect to f (or B) if for some filtration {Kn} of B by compact subsets, A − f(Kn) “eventually” has e components. The main theorem states that if Y is a (suitable) free H-space, if K < H has infinite index, and if Y has a positive finite number of filtered ends with respect to H\Y , then Y has one filtered end with respect to K\...

Distributed generation is becoming increasingly important in energy systems, causing a transition of regional energy systems. These decentralisation dynamics are difficult to predict in their scope and timing and therefore become a major challenge for political decision makers, utility companies and technology developers. Network effects are crucial in these decentralisation dynamics, strongly ...

A four-way power divider/power combiner using substrate integrated waveguide (SIW) and microstrip lines is proposed and investigated. The proposed power divider consists of a double-layer substrate with a bottom layer including an SIW T-junction and a top layer including a microstrip network. This microstrip network consists of a modified Gysel power divider which provides a high isolation betw...