We consider a 1 + 1 dimensional field theory which contains both a complex fermion field and a real scalar field. We then construct a unitary operator that, by a similarity transformation, gives a continuum of equivalent theories which smoothly interpolate between the massive Thirring model and the sineGordon model. This provides an implementation of smooth bosonization proposed by Damgaard et ...

a new type of backbone robot is presented in this paper. the core idea is to use a cross shape mechanism with the principle of functioning of the scissors linkages, known as a pantograph. although this continuum arm acts quite similar to tendon-driven robot, this manipulator does not include any tendon in its structure. this design does not suffer from the weaknesses of the continuum design suc...

In the recent years, lattice modelling proved to be a topic of renewed interest. Indeed, fields as distant as chemical modelling and biological tissue modelling use network models that appeal to similar equilibrium laws. In both cases, obtaining an equivalent continuous model allows to simplify numerical procedures. We describe an homogenization technique designed for discrete structures that p...

This article provides multiple parallel readings of the records continuum model in relation to a single case study. The purpose of these multiple readings is to illustrate the capacity of the model to support different interpretations, simultaneously, depending on the context. The article demonstrates that the records continuum theory and model is not a straightjacket for linear application of ...

We derive a cluster expansion for the electric susceptibility kernel of a dielectric suspension of spherically symmetric inclusions in a uniform background. This also leads to a cluster expansion for the effective dielectric constant. It is shown that the cluster integrals of any order are absolutely convergent, so that the dielectric constant is well defined and independent of the shape of the...

Skin, the largest organ in the body, performs many important roles including protection against physical and chemical insults, regulation of temperature and fluid loss, and immunity and sensory roles. Once damaged, skin cannot perform these normal tasks and numerous complications such as infection or fluid loss can occur. To restore these roles, the body needs to close the wound as quickly as p...

An atomistic level stress tensor is defined with physical clarity, based on the SPH method. This stress tensor rigorously satisfies the conservation of linear momentum, and is appropriate for both homogeneous and inhomogeneous deformations. The formulation is easier to implement than other stress tensors that have been widely used in atomistic analysis, and is validated by numerical examples. T...

Biocosmology implies that the laws of the microcosm (i.e. the laws governing living beings and their minds) mimic the laws of the macrocosm. These laws are based on a mosaic structure and triune organisation, with some roots that may be in the classical dialectical movement. A number of modern stances can be seen in relation to the Biocosmological perspective. The relationship to the mosaic str...

In this study, we investigated dispersion curves and the band gap structure of a multiresonator mass-in-mass lattice system. The unit cell of the lattice system consists of three separate masses connected by linear springs. It was demonstrated that the band gaps can be shifted by varying the spring constant and the magnitude of the internal masses. By using the conventional monatomic (single ma...