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Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics

Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics

Errico Presutti

131,78 €
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Editorial:
Springer Nature B.V.
Año de edición:
2010
Materia
Cálculo y análisis matemático
ISBN:
9783642092367
131,78 €
IVA incluido
Disponible

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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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