phy 7 11 classical mechanics and mathematical methods 10-10:50 am mwf olin 103
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PHY 7 11 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 Plan for Lecture 13: Continue reading Chapter 6 Modern example of analysis using Lagrangian and Hamiltonian formalisms. Lagrangian picture. Hamiltonian picture. J. Chem. Physics 72 2384-2393 (1980). - PowerPoint PPT PresentationTRANSCRIPT
PHY 711 Fall 2012 -- Lecture 12 19/24/2012
PHY 711 Classical Mechanics and Mathematical Methods
10-10:50 AM MWF Olin 103
Plan for Lecture 13:Continue reading Chapter 6
Modern example of analysis using Lagrangian and Hamiltonian formalisms
PHY 711 Fall 2012 -- Lecture 12 29/24/2012
PHY 113 A Fall 2012 -- Lecture 12 39/26/2012
PHY 113 A Fall 2012 -- Lecture 12 49/26/2012
PHY 113 A Fall 2012 -- Lecture 12 59/26/2012
PHY 711 Fall 2012 -- Lecture 12 69/24/2012
Lagrangian picture
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PHY 711 Fall 2012 -- Lecture 12 79/24/2012
J. Chem. Physics 72 2384-2393 (1980)
PHY 711 Fall 2012 -- Lecture 12 89/24/2012
“Molecular dynamics” is a subfield of computational physics focused on analyzing the motions of atoms in fluids and solids with the goal of relating the atomistic and macroscopic properties of materials. Ideally molecular dynamics calculations can numerically realize the statistical mechanics viewpoint.
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PHY 711 Fall 2012 -- Lecture 12 99/24/2012
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From this Lagrangian, can find the 3N coupled 2nd order differential equations of motion and/or find the corresponding Hamiltonian, representing the system at constant energy, volume, and particle number N (N,V,E ensemble).
PHY 711 Fall 2012 -- Lecture 12 109/24/2012
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PHY 711 Fall 2012 -- Lecture 12 119/24/2012
H. C. Andersen wanted to adapt the formalism for modeling an (N,V,E) ensemble to one which could model a system at constant pressure (P).
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P constant, V variable
PHY 711 Fall 2012 -- Lecture 12 129/24/2012
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PHY 711 Fall 2012 -- Lecture 12 139/24/2012
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