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Book Cover
E-book
Author Presutti, Errico, 1942-

Title Scaling limits in statistical mechanics and microstructures in continuum mechanics / Errico Presutti
Published Berlin : Springer, ©2009

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Description 1 online resource (xvi, 467 pages) : illustrations
Series Theoretical and mathematical physics, 1864-5879
Theoretical and mathematical physics (Springer (Firm))
Contents Introduction -- Statistical mechanics of Ising systems -- Mesoscopic theory, non-local functionals -- Phase transitions in systems with Kac potentials -- Appendices
Summary 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
Bibliography Includes bibliographical references (pages 457-464) and index
Notes Print version record
Subject Scaling laws (Statistical physics)
Statistical mechanics.
Continuum mechanics.
Micromechanics.
Continuum mechanics.
Micromechanics.
Kontinuumsmechanik.
Mesoskopisches System.
Skalierungsgesetz.
Statistische Mechanik.
Scaling laws (Statistical physics)
Statistical mechanics.
Continuum mechanics
Micromechanics
Scaling laws (Statistical physics)
Statistical mechanics
Kontinuumsmechanik
Mesoskopisches System
Skalierungsgesetz
Statistische Mechanik
Form Electronic book
ISBN 9783540733058
3540733051