SUMMARY
Molecular Dynamics (MD) simulations using Classical Newtonian mechanics operate in a 6N dimensional non-linear system, where N represents the number of particles. The non-linearity arises from the force fields, which can lead to chaotic behavior. There is a possibility for the system to enter a periodic attractor, also known as a limit cycle, particularly when the simulation method is not symplectic, meaning it is "almost energy conserving." This concept is further explored in a referenced Google Books link that illustrates limit cycles in non-symplectic methods.
PREREQUISITES
- Understanding of Molecular Dynamics simulations
- Familiarity with Classical Newtonian mechanics
- Knowledge of non-linear systems and chaos theory
- Concept of symplectic vs. non-symplectic methods in numerical simulations
NEXT STEPS
- Research the implications of non-symplectic methods in Molecular Dynamics simulations
- Study examples of limit cycles in dynamical systems
- Learn about chaos theory and its applications in physics
- Explore advanced topics in numerical methods for simulating classical mechanics
USEFUL FOR
Researchers and students in physics, particularly those focused on Molecular Dynamics, chaos theory, and numerical simulation methods. This discussion is also beneficial for anyone interested in the behavior of non-linear systems.