The discrete Hamiltonian of Su, Schrieffer and Heeger (SSH) is a well-known one-dimensional translation-invariant model in condensed matter physics. consists two atoms per unit cell describes in-cell out-of-cell electron-hopping between sub-lattices. It among the simplest models exhibiting non-trivial topological phase; to SSH one can associate winding number, Zak phase, which depends on ratio ...

Any renewal processes on [Formula: see text] with a polynomial tail, with exponent [Formula: see text], has a non-trivial scaling limit, known as the [Formula: see text]-stable regenerative set. In this paper we consider Gibbs transformations of such renewal processes in an i.i.d. random environment, called disordered pinning models. We show that for [Formula: see text] these models have a univ...

The effects of erosion, avalanching and random precipitation are captured in a simple stochastic partial differential equation for modelling the evolution of river networks. Our model leads to a self-organized structured landscape and to abstraction and piracy of the smaller tributaries as the evolution proceeds. An algebraic distribution of the average basin areas and a power law relationship ...

The Continuum Model postulates that preparations for the initiation of DNA synthesis takes place continuously, and in all phases of the cell cycle. There are no Gl-specific events involved in the initiation of DNA synthesis. The statistical predictions of the Continuum Model are now presented with four basic variables: (1) the rate of initiator synthesis, (2) the time for passage through the re...

background and purpose: the spices model has been proposed to be used both as a framework for quality improvement in medical education and as a guide for evaluation of curricula. the six strategies of spices are representatives of innovative approaches to medical education, and each one has been considered as a continuum. the present study models a theory-based questionnaire, based on spices, t...

An equivalent circuit model for predicting the frequency response of a square ring slot frequency selective surface (SRS-FSS) for normal incidence is described. The proposed FSS consists of an array of square patches centered within a wire grid. The presented circuit model is formed by the impedance of the wire grid that is parallel with the impedance of the patch array, also the mutual couplin...

The nuclear many-body problem at the limits of stability is considered in the framework of the Continuum Shell Model that allows a unified description of intrinsic structure and reactions. Technical details behind the method are highlighted and practical applications combining the reaction and structure pictures are presented.

el-jardali and fadllallah provide an excellent summary of the many dimensions of knowledge use, and the breath of issues and activities that must be considered if knowledge is to be put into practice. however, reliance on a continuum (rather than a cyclical, multidirectional, systems) model creates a number of limitations, particularly when promoting evidence-informed action in the areas of hea...