Loupe
Search Loader

Errico Presutti 
Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics 

Support

Collective behavior in systems with many components, blow-ups with emergence of microstructures are proofs of the double, continuum and atomistic, nature of macroscopic systems, an issue which has always intrigued scientists and philosophers. Modern technologies have made the question more actual and concrete with recent, remarkable progresses also from a mathematical point of view. The book focuses on the links connecting statistical and continuum mechanics and, starting from elementary introductions to both theories, it leads to actual research themes. Mathematical techniques and methods from probability, calculus of variations and PDE are discussed at length.

€53.49
méthodes de payement

Table des matières

Statistical Mechanics of Ising systems.- Thermodynamic limit in the Ising model.- The phase diagram of Ising systems.- Mean field, Kac potentials and the Lebowitz–Penrose limit.- Stochastic Dynamics.- Mesoscopic Theory, non-local functionals.- Non-local, free energy functionals.- Surface tension, Gamma convergence, Wulff shape.- One dimensional interfaces.- Phase transitions in systems with Kac potentials.- Ising systems with Kac potentials.- The LMP model and the Pirogov–Sinai strategy.- Phase transitions in the LMP model.- DLR measures and the ergodic decomposition.

A propos de l’auteur

Errico Presutti is professor of classical mechanics at the Department of Mathematics of the University of Roma Tor Vergata.
Langue Anglais ● Format PDF ● Pages 470 ● ISBN 9783540733058 ● Taille du fichier 4.9 MB ● Maison d’édition Springer Berlin ● Lieu Heidelberg ● Pays DE ● Publié 2008 ● Téléchargeable 24 mois ● Devise EUR ● ID 2163488 ● Protection contre la copie DRM sociale

Plus d’ebooks du même auteur(s) / Éditeur

1 986 Ebooks dans cette catégorie