Quantum mechanics and relativity in the continuum imply the well known spin-statistics connection. However for particles hopping on a lattice, there is no such constraint. If a lattice model yields a relativistic field theory in a continuum limit, this constraint must ”emerge” for physical excitations. We discuss a few models where a spin-less fermion hopping on a lattice gives excitations whic...

The separation of slow nuclear and fast electronic polarization in problems related to electron mobility in polarizable media was considered by Pekar 70 years ago. Within dielectric continuum models, this separation leads to the Pekar factor in the free energy of solvation by the nuclear degrees of freedom. The main qualitative prediction of Pekar's perspective is a significant, by about a fact...

As a result of surging interest in finding fundamental descriptions for the strength and failure properties of materials, and the exciting prospects of designing materials from their atomic level, an international symposium on Multiscale Modeling was convened in Los Angeles during August 23 25, 2000. In this symposium, 23 speakers with research interests spanning fields as diverse as traditiona...

5-0290 Session: QCD Hard Interactions Event shapes in deep inelastic ep → eX scattering at HERA Abstract Means and differential distributions of event-shape variables have been studied in neutral current deep inelastic scattering using an integrated luminosity of 82.2pb −1 collected with the ZEUS detector at HERA. The kinematic range used was 80 < Q 2 < 20480 GeV 2 and 0.0024 < x < 0.6, where Q...

Slide ring gels, developed from molecularly threaded polymer chains, have been getting increased attention for their unique modes of relaxation and toughness in the past ten years. While methods synthesis become more sophisticated efficient, theory has not kept up with experiments, there exist many unexplained observations. In this paper, we develop a continuum-level model slide gels based on t...

Abstract The contribution at hand focuses on the introduction of a novel approach to model biological growth. proposed formulations are chosen represent plant like structures. Therefore, thermomechanically open systems considered. balance laws presented for such systems. Furthermore, coupled with an adaptive meshing framework. so-called structural generator is and utilized in this work. Since n...