Title: Entropic force in a dilute solution of real ring polymer chains with different topological structures in a slit of two parallel walls with mixed boundary conditions
Author(s):

	P. Kuterba (Institute of Theoretical Physics, Jagiellonian University, prof. S. Łojasiewicza Str. 11, 30-348 Cracow, Poland; Faculty of Medicine, Jagiellonian University Medical College, Łazarza Str. 16, 31-530 Cracow, Poland),
	Z. Danel (Faculty of Materials Engineering and Physics, Cracow University of Technology, Podchorażych Str. 1 , 30-084 Cracow, Poland),
	W. Janke (Institut für Theoretische Physik, Universität Leipzig, IPF 231101, 04081 Leipzig, Germany)

The molecular dynamics simulations were used to obtain the radius of gyration of real ring polymer chains with different topological structures consisting of 360 monomers. We focus on the entropic force which is exerted by a dilute solution of ring polymer chains of different topological structures with the excluded volume interaction (EVI) in a good solvent on the confining parallel walls of a slit geometry. We consider mixed boundary conditions of one repulsive wall and the other one at the adsorption threshold. The obtained molecular dynamics simulation results for a wide slit region demonstrate a qualitative agreement with previous analytical results for ideal ring polymers. These results could lead to interesting potential applications in materials engineering and improve understanding of some biological processes suggested in the paper. Additionally, they could be applied in micro- and nano-electromechanical devices (MEMS and NEMS) in order to reduce the static friction.

Key words: soft matter, interface and surface thermodynamics, polymer behavior, phase transition, molecular dynamics simulations

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