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ac238 / skyrmions-trial

A trial project in which I simulate the dynamics of skyrmions using MATLAB.
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Matt 7/03 2.: Derive an explicit equation for energy dissipation #40

Open ac238 opened 4 months ago

ac238 commented 4 months ago

(2) Derive an explicit equation for energy dissipation. Take the Hamiltonian 

H = \int(r) (stiffness + Zeeman) + \int(r,r') (Coulomb)

Calculate d H / d t, using modified EOM for m (including Gilbert damping proportional to lambda)

You should find that energy is conserved for \lambda = 0, but otherwise violated.

Total energy must decrease in the presence of Gilbert damping

Compare results explicitly to numerics
ac238 commented 4 months ago

try to include lambda(r) in analysis?