Ring polymers in confined geometries

The investigation of a dilute solution of phantom ideal ring polymers and ring polymers with excluded volume interactions (EVI) in a good solvent confined in a slit geometry of two parallel repulsive walls and in a solution of colloidal particles of big size was performed. Taking into account the...

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Bibliographic Details
Date:2016
Main Authors: Usatenko, Z., Halun, J., Kuterba, P.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2016
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/156549
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Ring polymers in confined geometries / Z. Usatenko, J. Halun, P. Kuterba // Condensed Matter Physics. — 2016. — Т. 19, № 4. — С. 43602: 1–6. — Бібліогр.: 28 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:The investigation of a dilute solution of phantom ideal ring polymers and ring polymers with excluded volume interactions (EVI) in a good solvent confined in a slit geometry of two parallel repulsive walls and in a solution of colloidal particles of big size was performed. Taking into account the correspondence between the field theoretical φ⁴ O(n)-vector model in the limit n → 0 and the behaviour of long-flexible polymers in a good solvent, the correspondent depletion forces and the forces which exert phantom ideal ring polymers and ring polymers with EVI on the walls were obtained in the framework of the massive field theory approach at fixed space dimensions d=3 up to one-loop order. Besides, taking into account the Derjaguin approximation, the depletion forces between big colloidal particle and a wall and in the case of two big colloidal particles were calculated. The obtained results indicate that phantom ideal ring polymers and ring polymers with EVI due to the complexity of chain topology and for entropical re