M. Benhamou^1,2, Y. Madmoune¹, H. Kaidi¹, M. Chahid¹

¹ Laboratoire de Physique des Polymères et Phénomènes Critiques

Faculté des Sciences Ben M'sik, P.O. Box 7955, Casablanca, Morocco

² Moulay Ismail University, Meknes, Morocco

Abstract. In this study, we consider a supported biomembrane, trapped in a troubled liquid that incorporates nanoparticles. The purpose is an extensive study of the influence of these nanoparticles on the non-equilibrium Statistical Mechanics of the supported biomembrane. Its dynamical property is studied through the time height-correlation function. Stating form the Stoke's equations, the latter is exactly computed. In particular, we find that its Fourier transform decays with time according to an exponential tail. Its range or damping rate depends on the wave-vector, the nanoparticles volume fraction and some coupling constant measuring the nanoparticle-biomembrane interaction strength. The main conclusion is that, the membrane dynamics is slower, for attractive nanoparticles, and faster, for repulsive ones.

Keywords: Biomembranes – Nanoparticles – Dynamics – Correlation functions.