Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics (Theoretical and Mathematical Physics)

Presutti, Errico

ISBN 10: 3540733043 / ISBN 13: 9783540733041

Published by Springer, 2008

About this Item

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Bibliographic Details

• Title: Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics (Theoretical and Mathematical Physics)
• Publisher: Springer
• Publication Date: 2008
• Language: English
• ISBN 10: 3540733043
• ISBN 13: 9783540733041
• Binding: Hardcover
• Condition: Good

About this title

Synopsis

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.

About the Author

Errico Presutti is professor of classical mechanics at the Department of Mathematics of the University of Roma Tor Vergata.