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3-D dipole-dipole interaction# Computation - 科学计算
p*f
1
on a period cell, any good way to do it?
The prolem is that the field scales with 1/r^3, thus not converge in 3-D, so
cannot use cut off. On the other hand, the Maxwell's equation on a period cell
is well defined, thus the solution should exist. So have to use Fourier
transformation to solve it, but for NxN cell with period BC, the computation
is simple hopeless when N is large...
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sc
2
我听说
dipole-dipole interaction似乎是不能cutoff的
至少off-lattice是这样

【在 p**f 的大作中提到】
: on a period cell, any good way to do it?
: The prolem is that the field scales with 1/r^3, thus not converge in 3-D, so
: cannot use cut off. On the other hand, the Maxwell's equation on a period cell
: is well defined, thus the solution should exist. So have to use Fourier
: transformation to solve it, but for NxN cell with period BC, the computation
: is simple hopeless when N is large...

avatar
b*u
3
i think this problem is documented in literature
check recent literature by Linse P group
the derived Ewald summation for dipole-dipole interaction

【在 p**f 的大作中提到】
: on a period cell, any good way to do it?
: The prolem is that the field scales with 1/r^3, thus not converge in 3-D, so
: cannot use cut off. On the other hand, the Maxwell's equation on a period cell
: is well defined, thus the solution should exist. So have to use Fourier
: transformation to solve it, but for NxN cell with period BC, the computation
: is simple hopeless when N is large...

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