Some observations on the renormalization of membrane rigidity by long-range interactions

TL;DR

This paper investigates how long-range interactions, especially van der Waals forces, influence the renormalization of membrane rigidity, considering effects of finite membrane thickness on bending and Gaussian rigidity.

Contribution

It provides a detailed analysis of the impact of long-range interactions on membrane rigidity, including the role of finite membrane thickness and specific focus on van der Waals forces.

Findings

Long-range interactions can significantly alter membrane rigidity.

Finite membrane thickness affects the extent of renormalization.

Van der Waals interactions are a key factor in membrane rigidity changes.

Abstract

We consider the renormalization of the bending and Gaussian rigidity of model membranes induced by long-range interactions between the components making up the membrane. In particular we analyze the effect of a finite membrane thickness on the renormalization of the bending and Gaussian rigidity by long-range interactions. Particular attention is paid to the case where the interactions are of a van der Waals type.