Dresden 2009 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 6: Critical phenomena and phase transitions

DY 6.7: Talk

Monday, March 23, 2009, 16:15–16:30, ZEU 118

Polymer chains in confined geometries: massive field theory approach. — •Dirk Romeis¹ and Zoryana Usatenko² — ¹Leibniz-Institut fur Polymerforschung Dresden e.V., Germany — ²Institute for Condensed Matter Physics, NASU, 79011 Lviv, Ukraine

The massive field theory approach at fixed space dimensions d=3 is applied to investigation of dilute solution of long- flexible polymer chains in a good solvent between two parallel repulsive walls, two inert walls and for the mixed case of one inert and one repulsive wall. The well known correspondence between the field theoretical φ⁴ O(n)-vector model in the limit n→ 0 and the behavior of long-flexible polymer chains in a good solvent is used to calculate the depletion interaction potential and depletion force up to one-loop order. Our investigations include modification of renormalization scheme for the case of two inert walls. The obtained results confirm that the depletion interaction potential and the resulting depletion force between two parallel repulsive walls are weaker for chains with excluded volume interaction (EVI) than for ideal chains, because the EVI effectively reduces the depletion effect near the walls. Our results for two repulsive walls are in qualitative agreement with previous theoretical investigations [1], experimental results [2] and with results of Monte Carlo simulations [3]. [1].F.Schlesener,A.Hanke,R.Klimpel,and S.Dietrich, Phys.Rev.E 63, 041803 (2001). [2]. D.Rudhardt, C.Bechinger, and P.Leiderer, Phys.Rev.Lett. 81,1330 (1998). [3].H.-P.Hsu and P.Grassberger, J.Chem.Phys. 120, 2034, 2004.