It is proven that the ”horizon condition”, which was found to characterize the fundamental modular region in continuum theory and the thermodynamic limit of gauge theory on a periodic lattice, holds for every (transverse) configuration on a finite lattice with free boundary conditions.

The classical integrability the O(N) nonlinear sigma model on a half-line is examined, and the existence of an infinity of conserved charges in involution is established for the free boundary condition. For the case N = 3 other possible boundary conditions are considered briefly.

This paper presents a new and efficient method to calculate point mobilities from subcomponents of a full structure. When performing dynamic analyses of subcomponents the result normally tends to strongly depend on the boundary condition selected for the component. The goal is to simulate the results one would have received if the full model would be analysed. Normally free or clamped boundary ...

The higher rank analogue of the XXZ model with a boundary is considered on the basis of the vertex operator approach. We derive difference equations of the quantum Knizhnik-Zamolodchikov type for 2N-point correlations of the model. We present infinite product formulae of two point functions with free boundary condition by solving those difference equations with N = 1.

We establish the saddle point property of the focusing selfsimilar solution of a free boundary problem for the heat equation with free boundary conditions given by u = 0 and ∂u ∂ν = 1.

Embryonic stem cells (ESCs) are originally derived from the ICM of blastocysts and are characterized by their ability to self-renew and their pluripotencies. Only a few reports have been published on ESC isolations and line establishment in animals, even fewer in horses. However, it is still important to isolate equine ESCs for animal biotechnology and therapeutic applications. In the present s...