Description |
1 online resource (xvi, 467 pages) : illustrations |
Series |
Theoretical and mathematical physics, 1864-5879 |
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Theoretical and mathematical physics (Springer (Firm))
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Contents |
Introduction -- Statistical mechanics of Ising systems -- Mesoscopic theory, non-local functionals -- Phase transitions in systems with Kac potentials -- Appendices |
Summary |
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 |
Bibliography |
Includes bibliographical references (pages 457-464) and index |
Notes |
Print version record |
Subject |
Scaling laws (Statistical physics)
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Statistical mechanics.
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Continuum mechanics.
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Micromechanics.
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Continuum mechanics.
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Micromechanics.
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Kontinuumsmechanik.
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Mesoskopisches System.
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Skalierungsgesetz.
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Statistische Mechanik.
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Scaling laws (Statistical physics)
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Statistical mechanics.
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Continuum mechanics
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Micromechanics
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Scaling laws (Statistical physics)
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Statistical mechanics
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Kontinuumsmechanik
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Mesoskopisches System
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Skalierungsgesetz
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Statistische Mechanik
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Form |
Electronic book
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ISBN |
9783540733058 |
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3540733051 |
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