Programme

P.60 -- Poster, VCTP-45

Date: Tuesday, 13 October 2020

Time: 08:30 - 10:00

Counterion distribution near macroions, a field-theoretical treatments up to two-loop order

Tran Thanh Tuyen, Toan T. Nguyen

334 Nguyen Trai street, Thanh Xuan, Hanoi

Field-theoretical treatment of a counterion distribution near a charged surface is constructed in a systematic perturbative manner. The standard Hubbard–Stratonovich transformation is used to transform the system of interacting counterions in aquaeous solution into a scalar field theory. By using perturbative expansion in the interaction strength, Gaussian functional average and Wick's theorem, an analytical expression for the counterion distribution is obtained up to the two-loop Feyman diagrams. Numerical calculation and plotting show that the contribution of these higher order loops are already quite significant when the so-called plasma interaction strength parameter is about 0.5. Our results qualitatively agrees with previous Monte-Carlo simulation results. Some discrepancies are observed at stronger interaction parameter values, which indicates the need for higher order corrections for such systems.

Presenter: Tran Thanh Tuyen