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Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics
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 an...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2009.
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| Edición: | 1st ed. 2009. |
| Colección: | Theoretical and Mathematical Physics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-540-73305-8 | ||
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| 020 | |a 9783540733058 |9 978-3-540-73305-8 | ||
| 024 | 7 | |a 10.1007/978-3-540-73305-8 |2 doi | |
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| 100 | 1 | |a Presutti, Errico. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics |h [electronic resource] / |c by Errico Presutti. |
| 250 | |a 1st ed. 2009. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2009. | |
| 300 | |a XVI, 470 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Theoretical and Mathematical Physics, |x 1864-5887 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Dynamical systems. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 1 | 4 | |a Dynamical Systems. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783540868088 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642092367 |
| 776 | 0 | 8 | |i Printed edition: |z 9783540733041 |
| 830 | 0 | |a Theoretical and Mathematical Physics, |x 1864-5887 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-540-73305-8 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||