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Updated: Jun 5, 2026

Single-Molecule Diffusion and Assembly on Polymer-Crowded Lipid Membranes
Published on: July 19, 2022
Passage of a monomer through a nonrigid periodical substrate formed by noninteracting particles
1Institute for Radiophysics and Electronics, National Academy of Sciences of Ukraine, Kharkov 61085, Ukraine.
Abstract:
The paper examines a classical system in one degree of freedom: a particle (monomer) interacting with a periodic lattice of independent, separated oscillators. The monomer can interact with oscillators via a short-range attractive potential force. The periodic lattice of oscillators may absorb the energy of the monomer launched at some initial velocity, but it does so in a very peculiar manner. The monomer velocity gradually decreases, approaching near some nonzero limit value. The limiting monomer velocities can assume discrete values only. This behavior of the monomer is accounted for by the existing resistance force that completely vanishes at certain monomer velocities.
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