Normalized Equation
Normalize the coordinates  and  by b, and the time t by t. In terms of the dimensionless coordinates and time, Eqs. (5), (14) and (15) are combined into
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(19) |
Where  and
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(20) |
Solving Eq. (19) by finite difference in real space is inefficient. For example, the time for a typical calculation is on the order of month. A much better method is to solve the equation in the reciprocal space. In the simulation part, I will discuss the numerical technique in detail.
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