Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics
1st ed. Softcover of orig. ed. 2009
Book Details
Format
Paperback / Softback
Book Series
Theoretical and Mathematical Physics
ISBN-10
3642092365
ISBN-13
9783642092367
Edition
1st ed. Softcover of orig. ed. 2009
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Manufacture
DE
Country of Publication
GB
Publication Date
Nov 16th, 2010
Print length
470 Pages
Weight
690 grams
Dimensions
22.80 x 15.50 x 2.70 cms
Ksh 8,100.00
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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.
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.
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