The present paper considers a biaxial nematogenic lattice model, involving particles of D2h symmetry, whose centres of mass are associated with a three-dimensional simple-cubic lattice; the pair potential is isotropic in orientation space, restricted to nearest neighbours, and has the simplified...

The model of a polypeptide chains was designed. The linear chain consisting of amino acid residues was approximated by an alpha carbon chain and embedded to a very flexible [310] lattice. The force field consisted of the long-range contact potential between residues and of the local helical...

We report here the mean field (MF) and Monte Carlo (MC) simulation study of a nematogenic lattice model; it involves particles possessing D2h symmetry, whose centres of mass are associated with a two-dimensional square lattice, while particle orientations belong to ordinary three-dimensional space;...

The present paper considers a biaxial nematogenic lattice model, involving particles of D2h symmetry, whose centres of mass are associated with a three-dimensional simple-cubic lattice; the pair potential is defined by a London–De Boer–Heller dispersion interaction, restricted to nearest...

A simple agent-based model of the evolution of faith-based systems (FBS) in human social networks is presented. In the model, each agent subscribes to a single FBS, and may be converted to share a different agent's FBS during social interactions. FBSs and agents each possess heritable...

We have considered a nematogenic lattice model, consisting of three-component unit vectors, associated with a two-dimensional lattice, and interacting via London–Heller–de Boer dispersion potential restricted to nearest neighbours, already studied by simulation in three dimensions (Mol....

We derive the free energy of the chiral Potts model by the infinite lattice “inversion relation” method. This method is non-rigorous in that it always needs appropriate analyticity assumptions. Guided by previous calculations based on exact finite-lattice functional relations, we find that...

The main purpose of this article is to present a new numerical procedure that can be used to implement a variety of different interest rate models. The new approach allows to construct no-arbitrage models for the term structure, where the stochastic process driving the rates is infinitely...

The main purpose of this article is to present a new numerical procedure that can be used to implement a variety of different interest rate models. The new approach allows to construct no-arbitrage models for the term structure, where the stochastic process driving the rates is infinitely...

Using dynamically available volume (DAV) as an order parameter, we study the ideal dynamical arrest for some simple lattice glass models. For these models the dynamically available volume is expressed as holes, or vacant sites into which particles can move. We find that on approach to the arrest...