Title: Ring polymers in confined geometries
Author(s):

	Z. Usatenko (Institute of Physics, Cracow University of Technology, 30-084 Cracow, Poland) ,
	J. Halun (Institute of Physics, Jagiellonian University, 30-348 Cracow, Poland) ,
	P. Kuterba (Institute of Physics, Jagiellonian University, 30-348 Cracow, Poland)

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 reasons demonstrate a completely different behaviour in confined geometries compared with linear polymers.

Key words: colloidal systems,critical phenomena, polymers, phase transitions
PACS: 64.70.pv, 61.25.he, 67.30.ej, 68.35.Rh, 64.70.qd

Full text [pdf]

<< List of papers