Cantitate/Preț
Produs

Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics: Theoretical and Mathematical Physics

Autor Errico Presutti
en Limba Engleză Hardback – 15 oct 2008
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.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 39912 lei  6-8 săpt.
  Springer Berlin, Heidelberg – 16 noi 2010 39912 lei  6-8 săpt.
Hardback (1) 40605 lei  6-8 săpt.
  Springer Berlin, Heidelberg – 15 oct 2008 40605 lei  6-8 săpt.

Din seria Theoretical and Mathematical Physics

Preț: 40605 lei

Nou

Puncte Express: 609

Preț estimativ în valută:
7771 8102$ 6458£

Carte tipărită la comandă

Livrare economică 21 martie-04 aprilie

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783540733041
ISBN-10: 3540733043
Pagini: 488
Ilustrații: XVI, 470 p.
Dimensiuni: 155 x 235 x 35 mm
Greutate: 0.84 kg
Ediția:2009
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Theoretical and Mathematical Physics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Recenzii

From the reviews:
"The author takes an effort to make accessible a variety of problems and mathematical techniques involved in describing how a continuum description emerges from mesoscopic and microscopic models. Technically that refers to large scale phenomena in statistical mechanics and their mathematical formulations in terms of thermodynamic and hydrodynamic limits. The book is intended to both (mathematical) physics and mathematical communities … ." (Piotr Garbaczewski, Zentralblatt MATH, Vol. 1156, 2009)
“This book is a beautiful overview of the state of the art. … The link between notions and theories developed in continuum mechanics and PDEs and statistical mechanics is illustrated here. The book is an effort to build bridges between the two areas and, since it is meant for both communities it is written with the presumption that reader may not be expert in all topics. … The various topics can be easily singled out to be used for courses or lectures … .” (Nicoletta Cancrini, Mathematical Reviews, Issue 2011 a)

Notă biografică

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

Caracteristici

Includes supplementary material: sn.pub/extras