Stationary Points of U(x,y) | Locate Minima, Maxima & TS

[adam1]

U(x,y)=Asin(pi*x/Lx) + Bcos(pi*y/Ly) where A,B,Lx,Ly are positive

1 Locate all the stationary points (i.e. minima, maxima and transition states
(TS)) for this potential.

a. What is the periodicity of U(x,y) along the two directions?

b. Derive the TS barriers that an atom diffusing on the surface would
have to surmount during a “jump” between two minima as a function
of A and B.

c. Using information about the shape of U(x,y), propose possible
analytical curves separating the basin of attraction of adjacent minima.

 

[genneth]

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