Classical mechanics formulations?

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SUMMARY

The discussion focuses on the applications of Hamiltonian, Newtonian, and Lagrangian mechanics in the context of molecular dynamics simulations. Hamiltonian mechanics is preferred for systems with complex constraints and conservation laws, while Newtonian mechanics is straightforward for simple systems. Lagrangian mechanics is advantageous for deriving equations of motion in generalized coordinates. Each formulation has distinct pros and cons, making them suitable for different scenarios in computational physics.

PREREQUISITES
  • Understanding of classical mechanics principles
  • Familiarity with Hamiltonian mechanics
  • Knowledge of Lagrangian mechanics
  • Experience with molecular dynamics simulations
NEXT STEPS
  • Research Hamiltonian mechanics applications in molecular dynamics
  • Study Lagrangian mechanics for complex systems
  • Explore Newtonian mechanics in practical simulations
  • Learn about computational tools for molecular dynamics, such as GROMACS
USEFUL FOR

Physicists, computational scientists, and engineers involved in molecular dynamics simulations or anyone interested in the comparative analysis of classical mechanics formulations.

Khalid Mansour
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Hi,
when do we use hamiltonian vs. Newtonian mechanics or even lagrangian formulations? pros and cons? I am thinking molecular dynamics codes
 
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