Umfang:
1 online resource (189 pages)
ISBN:
9780197568620
Inhalt:
Robert W. Batterman's monograph in the philosophy of physics focuses on how the Fluctuation-Dissipation theorem reveals important consequences for exploring and understanding the behavior of large, many-body systems. He develops a powerful methodology that privileges mesoscale levels between theories describing everyday behaviors of fluids and bending beams and those theories that describe the more fundamental, atomic nature of materials. The "hydrodynamic approach," which has its origins in Einstein's work on Brownian motion, aims to describe and account for continuum behaviors by largely ignoring details at the "fundamental" level. Einstein's work led to a fundamental theorem of statistical mechanics called the "Fluctuation-Dissipation" theorem. He argues against reductionist attempts to derive directly upper level theories from fundamental theories. Instead, he presents an approach to inter-theory relations that starts in the middle, bridging up to theories describing large scale behavior and down to those describing fundamental features.
Inhalt:
Cover -- A Middle Way: A Non-Fundamental Approach to Many-Body Physics -- Copyright -- Dedication -- Acknowledgments -- Preface -- Contents -- Chapter 1: Introduction -- 1.1 Philosophy and Foundational Problem -- 1.2 Autonomy and Fundamentality -- 1.3 Two-ish Senses of Fundamental -- 1.4 Hydrodynamic Methods: A First Pass -- 1.5 Representative Volume Elements -- 1.6 Fluctuation and Dissipation -- 1.7 Preview of Upcoming Chapters -- Chapter 2: Autonomy -- 2.1 Pegs and Boards -- 2.2 How to Answer (AUT) -- 2.2.1 Multiple Realizability? Really? -- 2.2.2 Universality -- 2.2.3 Renormalization Group -- 2.3 Generalizations -- 2.3.1 Multi-scale Modeling of Materials -- 2.4 A Brief Thought Experiment -- 2.5 Conclusion -- Chapter 3: Hydrodynamics -- 3.1 Conserved Quantities and Transport -- 3.1.1 Spin Diffusion Equations -- 3.2 Correlation Functions -- 3.3 Linear Response -- 3.4 Conclusion -- Chapter 4: Brownian Motion -- 4.1 Introduction -- 4.2 The Hydrodynamic Equation -- 4.3 Effective Viscosity in Brownian Contexts -- 4.3.1 Summary: An Answer to (AUT) -- 4.4 Brownian Motion and the F-D Theorem -- 4.5 Conclusion -- Chapter 5: From Brownian Motionto Bending Beams -- 5.1 Introduction -- 5.2 Bulk Properties of Heterogeneous Systems -- 5.3 Conclusion -- Chapter 6: An Engineering Approach -- 6.1 Introduction -- 6.2 Schwinger's Engineering Approach -- 6.3 Order Parameters, Mesoscales, Correlations -- 6.4 Multiscale Modeling in Biology -- 6.4.1 Modeling Bone Fracture -- 6.5 Conclusion -- Chapter 7: The Right Variables and Natural Kinds -- 7.1 Introduction -- 7.2 Woodward on Variable Choice -- 7.3 The Right (Mesoscale) Variables -- 7.4 Another Minimal Model Example -- 7.4.1 The Model: Lattice Gas Automaton -- 7.5 Conclusion -- Chapter 8: Conclusions -- 8.1 Foundational Problems vs. Methodology -- 8.2 Autonomy and Heterogeneity.
Anmerkung:
Description based on publisher supplied metadata and other sources
Weitere Ausg.:
9780197568613
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe 9780197568613
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Batterman, Robert A middle way New York, NY : Oxford University Press, 2021 9780197568613
Sprache:
Englisch
Schlagwort(e):
Hydrodynamik
;
Vielkörperproblem
;
Mesoskopisches System
;
Fluktuations-Dissipations-Theorem
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