Within the trln-formalism we investigate vacuum interaction of cosmic strings and influence width on this effect. For massless real scalar field compute Casimir contribution into total energy. The dimensional-regularization technique is used. It shown that regularized term contains neither UV-divergences, nor divergences related with non-integrability renormalized mean energy-momentum tensor.

We present some experimental and numerical results based on a simple model designed to give an estimate for the width of a shear zone. We conclude that the observed finite size of the shear zone can be associated with the propagation of the force lines inside the medium. The model, based on a simple argument on the force distribution and dilatancy, predicts a width of about ten grain diameters.

Sequence comparison is a widely used computational technique in modern molecular biology. In spite of the frequent use of sequence comparisons, the important problem of assigning statistical significance to a given degree of similarity is still outstanding. Analytical approaches to filling this gap usually make use of an approximation that neglects certain correlations in the disorder underlyin...

Legged robots that operate in the real world are inherently subject to stochasticity in their dynamics and uncertainty about the terrain. Due to limited energy budgets and limited control authority, these “disturbances” cannot always be canceled out with high-gain feedback. Minimally-actuated walking machines subject to stochastic disturbances no longer satisfy strict conditions for limit-cycle...

Traditional terramechanics theorems utilise pressure-sinkage models based on the assumption that the contact area between a tyre and soil can be approximated as a flat plate. Examples include work by Bekker, Reece, and Ishigami. Recently, the authors have demonstrated that 1) this approximation does not hold for wheels with a diameter less than approximately 50 cm and 2) an improved diameter-de...