A Journey Around the Different Scales Involved in the Description of Matter and Complex Systems A Brief Overview with Special Emphasis on Kinetic Theory Approaches /

• Κύριοι συγγραφείς: Chinesta, Francisco (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Abisset-Chavanne, Emmanuelle (http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: SpringerBriefs in Applied Sciences and Technology,
• Θέματα: Mechanics.; Mechanics, Applied.; Quantum physics.; Materials science.; Theoretical and Applied Mechanics.; Quantum Physics.; Characterization and Evaluation of Materials.

This SpringerBrief covers the main scales of description of matter, starting at its finest level, the quantum scale, moving through ab-initio, molecular dynamics, coarse grained approaches, to finish at the scale of kinetic theory models that allows a nice compromise between the rich but expensive m...

Πίνακας περιεχομένων:

• 1 The Schrödinger equation
• 1.1 The history of quantum mechanics in small bits
• 1.2 Planck versus the ultraviolet catastrophe
• 1.3 An intuitive approach to the Schrödinger equation
• 1.4 The Feynman approach
• 1.5 The Schrödinger equation
• 1.6 Relations between position and momentum wavefunctions
• 1.7 Heisenberg uncertainty principle
• 1.8 Observable and its time evolution
• 1.9 The Hellmann-Feynman theorem
• 1.10 The Pauli exclusion principle
• 1.11 On the numerical solution of the Schrödinger equation
• 2 Ab-initio calculations
• 2.1 The Hartree-Fock description
• 2.2 Density Functional Theory
• 2.3 Concluding remarks on the quantum scale
• 3 Coarse-grained descriptions
• 3.1 Molecular dynamics
•  3.2 Brownian dynamics
•  4 Kinetic theory models. 4.1 Motivation
• 4.2 Kinetic theory description of simple liquids and gases
• 4.3 Complex fluids
• 4.4 The Chemical Master Equation
• References.