Titlebook: Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics; Errico Presutti Book 2009 Springer-Verlag Berlin Heide

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書目名稱Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics影響因子(影響力)




書目名稱Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics影響因子(影響力)學(xué)科排名




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書目名稱Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics被引頻次




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書目名稱Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics讀者反饋




書目名稱Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics讀者反饋學(xué)科排名

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iculous revision of paleo-ichnological investigations, most by the author himself, one of the most important South American specialists, during many decades of his dedication to scientif978-3-030-62599-3978-3-030-62597-9Series ISSN 2197-9596 Series E-ISSN 2197-960X

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ASSAY

Mean field, Kac potentials and the Lebowitz–Penrose limitotentials fall in this category and the section is devoted to their analysis and the coarse graining methods introduced by Lebowitz and Penrose, which are central in the book. This is the first bridge connecting microscopic and mesoscopic theories with the introduction of the L–P (Lebowitz–Penrose)

IRK

Non-local, free energy functionalss with constraints are studied in Sects. 6.3 and 6.4. In the former the constraint fixes the profile outside a bounded region close to equilibrium, and exponential decay from the boundaries is proved. In Sect. 6.4 the free energy cost of deviations from equilibrium is estimated proving “extensive” l

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Madrigal

Phase transitions in the LMP modela new effective hamiltonian. By means of an interpolation procedure the surface corrections to the pressure are reduced to an estimate on the decay of correlations for the new effective hamiltonian in the plus (or minus) restricted ensemble. Such properties are next proved in Sects.?11.5 and?11.6, b

adjacent

DLR measures and the ergodic decompositioniracle–Sole argument for the Ising model at low temperatures is adapted to the LMP model in order to show that any translation invariant DLR measure is a convex combination of the plus and minus DLR measures. In Sect. 12.4 it is finally shown that the plus and minus measures are translational invari

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