We use a novel approach to analyze the one-dimensional spinless Falicov-Kimball model. We derive a simple effective model for the occupation of the localized orbitals which clearly reveals the origin of the known ordering. Our study is extended to a quantum model with hybridization between the localized and itinerant states: We find a crossover between the well-known weak- and strong-coupling b...

This paper describes the design of a generalised data format for storing the data of water supply and distribution systems. It uses the network model to describe the system topology and the connectivity of components. Data are stored based on an Entity-Relationship model and using a customisable format.

This paper presents a logical extension of Nash’s Cooperative Bargaining Theory. We introduce a concept of entrenchment measurement, which maps propositions to real numbers, as a vehicle to represent agent’s belief states and attitudes towards bargaining situations. We show that Nash’s bargaining solution can be restated in terms of bargainers belief states. Negotiable items, bargaining outcome...

In this paper, we study a simple passive dynamic biped robot with point feet and legs without knee. The mathematical model describing the robot is a switched system, which includes an inverted double pendulum. Robot’s gait and its stability depend on parameters such as the slope of the ramp, mass distribution for the robot, and the length of its legs. The main result of the paper is an asymptot...

Abstract A class of domain-wall-like solutions of the Skyrme model is obtained analytically. They are described by the tangent hyperbolic function, which is a special limit of the Weierstrass ℘ function. The behavior of one of the two terms in the static energy density is like that of a domain wall. The other term in the static energy density does not vanish but becomes constant at the points f...

A quasichemical model is one type of statistical models of solutions. It is more realistic than the ideal and regular models. The solutions in a quasichemical model have a finite enthalpy change and nonrandom atomic configuration of mixing. Two improvements to the previous ternary interstitial quasichemical model have been made in this work. The new model is more general and rigorous, which mea...

An integral form of the discrete superloop equations for the supereigenvalue model of Alvarez–Gaumé, Itoyama, Mañes and Zadra is given. By a change of variables from coupling constants to moments we find a compact form of the planar solution for general potentials. In this framework an iterative scheme for the calculation of higher genera contributions to the free energy and the multi–loop corr...

Abstract The susceptible-infectious-recovered (SIR) model describes the evolution of three species of individuals which are subject to an infection and recovery mechanism. A susceptible S can become infectious with an infection rate β by an infectious Itype provided that both are in contact. The Itype may recover with a rate γ and from then on stay immune. Due to the coupling between the differ...

We have obtained the neutrino mass matrix with the large mixing angle (LMA) MSW solution, sin 2θ⊙ = 0.65 ∼ 0.97 and ∆m⊙ = 10 −5 ∼ 10−4eV2, in the S3L × S3R flavor symmetry. The structure of our neutrino mass matrix is found to be stable against radiative corrections. The solar neutrino data as well as the atmospheric one give big impact on the study of the lepton mass matrices. There is a typic...