As we know, lattice boltzmann method is one method to solve the fluid problems. and the primary work to use this method is give the corrected "boundary conditon"__pressure conditions and velocity conditions.

To general problems, the PC and VC for 2D/3D problems has been obtained by some scientists(eg.D3Q19,D2q9 ...model).

But to the lowest scale problems, the "force" fields is complexed and the traditional PC/VC is not suit for this kind of problems.

My opinion:

 If we know the constitutive relation under this kind of conditions, can we obtained a new kind of PC/VC from the basic theory/knowledge of Quantum mechanics.

Until now, I did not see system reprots in this fields, I did not know if we can creat a new kind of "boundary conditon" .