Springer Continuum Models and Discrete Systems: 158 (NATO Science Series II: Mathematics, Physics and Chemistry, 158)

The interplay between discrete and continuum descriptions of physical systems and mathematical models is one of the more long lasting paradigms in the physical sciences as well as in the mathematical sciences. This is exemplified by the sequence of CMDS (Continuum Models and Discrete Systems) conferences, of which this volume summarizes the tenth such conference (CMDSIO), which took place in Shoresh, lsrael, in June 2003. It contains 65 articles, written by the various participants in this conference. These are scientists who are doing scientific research in a variety of disciplines in Physics, Mathematics, Mechanics, Engineering, Earth Sciences, etc. Topics covered inciude models for growth and evaporation of thin films, mechanical and electrical properties of composite media, defects and inhomogeneities in solids, mechanisms for mechanical and electrical failure of solids, earthquakes, dynamics of defects, fluid flow and rheology in porous soils and granular media, elasticity and force chains in granular media, percolation problems, models for desertification phase transition in and climates, the reliability and faithfulness of continuum models for discnete phenomena, etc. This Proceedings Volume is essential reading for anyone who wishes to remain up-to-date on developments in the areas and topics descnibed above, which keep changing and evolving from year to year, with new ideas and new results constantly being obtained.