The interaction between two ring polymer chains located in the area between two dimensional channel walls is investigated using molecular dynamics simulation. One monomer of each chain is fixed at an equal distance from each of the channel walls. The simulations show that the force between the two polymers is repulsive; on average, irrespective of the channel thickness, it decreases with the increase of the distance between the two fixed monomers. In addition, the force applied to the channel walls by the geometrical fluctuations of the polymers is also repulsive, regardless of the distance between the two fixed monomers, such that, on average, it is decreased with the cubic inverse of the channel thickness.


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