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Classical dynamics and particle transport in kicked billiards
Classical dynamics particle transport kick source momentum
2011/7/6
We study nonlinear dynamics of the kicked particle whose motion is confined by square billiard. The kick source is considered as localized at the center of square with central symmetric spatial distri...
Applications of Classical Scaling Symmetry
Classical Scaling Symmetry second-order differential equation conservation laws central field dynamics
2011/7/7
Any symmetry reduces a second-order differential equation to a first-order equation: variational symmetries of the action (exemplified by central field dynamics) lead to conservation laws, but symmetr...
Maxwell-Lorentz Dynamics for Rigid Charges - Classical Absorber Electrodynamics Part I
Maxwell-Lorentz Equations Wheeler-Feynman Equations Absorber Electrodynamics
2010/12/7
This is the first part of our mathematical survey on the equations of motion of classical absorber electrodynamics, which shall be introduced and discussed briefly. Its basic equations of motion are t...
On the thermodynamics of classical micro-canonical systems
thermodynamics classical micro-canonical systems
2010/12/15
We study the configurational probability distribution of a mono-atomic gas with a finite number of particles N in the micro-canonical ensemble. We give two arguments why the thermodynamic entropy of t...